admin – Page 3

If tan A=1/2 and tan B=1/3 then find the value of sin(A+B) using the formula: tan(A+B)=(tan A + tan B)/(1-tan A tan B)

If tan A=1/2 and tan B=1/3 then find the value of sin(A+B) using the formula: tan(A+B)=(tan A + tan B)/(1-tan A tan B) Problem Question If tan A=1/2 and tan B=1/3 then find the value of sin(A+B) using the formula: tan(A+B)=(tan A + tan B)/(1-tan A tan B) Trigonometry Problems If tan(theta)=1/√7, Evaluate (cosec^2 (theta)-sec^2 (theta)/ (cosec^2 (theta)+sec^2 (theta)) If 3 tan(theta) = 4, find the value of (5 sin(theta)-3cos(theta)) / (5 sin(theta)+2cos(theta)) If sec(theta)=sqrt(2), Evaluate (1+tan(theta)+cosec(theta))/(1+cot(theta)-cosec(theta)) If 3 cot…

Given that tan (theta) = p/q. Find the value of (p sin(theta)-q cos (theta)) / (p sin (theta)+q cos (theta))

Given that tan (theta) = p/q. Find the value of (p sin(theta)-q cos (theta)) / (p sin (theta)+q cos (theta)) Problem Question Given that tan (theta) = p/q. Find the value of (p sin(theta)-q cos (theta)) / (p sin (theta)+q cos (theta)) Trigonometry Problems If tan(theta)=1/√7, Evaluate (cosec^2 (theta)-sec^2 (theta)/ (cosec^2 (theta)+sec^2 (theta)) If 3 tan(theta) = 4, find the value of (5 sin(theta)-3cos(theta)) / (5 sin(theta)+2cos(theta)) If sec(theta)=sqrt(2), Evaluate (1+tan(theta)+cosec(theta))/(1+cot(theta)-cosec(theta)) If 3 cot A = 4, Check whether (1-tan^2A)/(1+tan^2A)…

If sec A + tan A=7, find the value of sec A – tan A

If sec A + tan A=7, find the value of sec A – tan A Problem Question If sec A + tan A=7, find the value of sec A – tan A Trigonometry Problems If tan(theta)=1/√7, Evaluate (cosec^2 (theta)-sec^2 (theta)/ (cosec^2 (theta)+sec^2 (theta)) If 3 tan(theta) = 4, find the value of (5 sin(theta)-3cos(theta)) / (5 sin(theta)+2cos(theta)) If sec(theta)=sqrt(2), Evaluate (1+tan(theta)+cosec(theta))/(1+cot(theta)-cosec(theta)) If 3 cot A = 4, Check whether (1-tan^2A)/(1+tan^2A) = cos^2 A – sin^2 A or not Prove that…

Prove that sqrt((1-sin(theta))/(1+sin(theta))) = sec(theta) – tan(theta)

Prove that sqrt((1-sin(theta))/(1+sin(theta))) = sec(theta) – tan(theta) Problem Question Prove that sqrt((1-sin(theta))/(1+sin(theta))) = sec(theta) – tan(theta) Trigonometry Problems If tan(theta)=1/√7, Evaluate (cosec^2 (theta)-sec^2 (theta)/ (cosec^2 (theta)+sec^2 (theta)) If 3 tan(theta) = 4, find the value of (5 sin(theta)-3cos(theta)) / (5 sin(theta)+2cos(theta)) If sec(theta)=sqrt(2), Evaluate (1+tan(theta)+cosec(theta))/(1+cot(theta)-cosec(theta)) If 3 cot A = 4, Check whether (1-tan^2A)/(1+tan^2A) = cos^2 A – sin^2 A or not Prove that tan A/ (1-cot A) +cot A / (1-tan A) = sec A cosec A+1 If tan(theta)…

If tan(theta) + cot(theta)=5, find the value of tan^2 (theta)+cot^2 (theta)

If tan(theta) + cot(theta)=5, find the value of tan^2 (theta)+cot^2 (theta) Problem Question If tan(theta) + cot(theta)=5, find the value of tan^2 (theta)+cot^2 (theta) Trigonometry Problems If tan(theta)=1/√7, Evaluate (cosec^2 (theta)-sec^2 (theta)/ (cosec^2 (theta)+sec^2 (theta)) If 3 tan(theta) = 4, find the value of (5 sin(theta)-3cos(theta)) / (5 sin(theta)+2cos(theta)) If sec(theta)=sqrt(2), Evaluate (1+tan(theta)+cosec(theta))/(1+cot(theta)-cosec(theta)) If 3 cot A = 4, Check whether (1-tan^2A)/(1+tan^2A) = cos^2 A – sin^2 A or not Prove that tan A/ (1-cot A) +cot A / (1-tan…

Prove that tan A/ (1-cot A) +cot A / (1-tan A) = sec A cosec A+1

Prove that tan A/ (1-cot A) +cot A / (1-tan A) = sec A cosec A+1 Problem Question Prove that tan A/ (1-cot A) +cot A / (1-tan A) = sec A cosec A+1 Trigonometry Problems If tan(theta)=1/√7, Evaluate (cosec^2 (theta)-sec^2 (theta)/ (cosec^2 (theta)+sec^2 (theta)) If 3 tan(theta) = 4, find the value of (5 sin(theta)-3cos(theta)) / (5 sin(theta)+2cos(theta)) If sec(theta)=sqrt(2), Evaluate (1+tan(theta)+cosec(theta))/(1+cot(theta)-cosec(theta)) If 3 cot A = 4, Check whether (1-tan^2A)/(1+tan^2A) = cos^2 A – sin^2 A or not…

If 3 cot A = 4, Check whether (1-tan^2A)/(1+tan^2A) = cos^2 A – sin^2 A or not

If 3 cot A = 4, Check whether (1-tan^2A)/(1+tan^2A) = cos^2 A – sin^2 A or not Problem Question If 3 cot A = 4, Check whether (1-tan^2A)/(1+tan^2A) = cos^2 A – sin^2 A or not Trigonometry Problems If tan(theta)=1/√7, Evaluate (cosec^2 (theta)-sec^2 (theta)/ (cosec^2 (theta)+sec^2 (theta)) If 3 tan(theta) = 4, find the value of (5 sin(theta)-3cos(theta)) / (5 sin(theta)+2cos(theta)) If sec(theta)=sqrt(2), Evaluate (1+tan(theta)+cosec(theta))/(1+cot(theta)-cosec(theta)) If 3 cot A = 4, Check whether (1-tan^2A)/(1+tan^2A) = cos^2 A – sin^2 A…

If sec(theta)=sqrt(2), Evaluate (1+tan(theta)+cosec(theta))/(1+cot(theta)-cosec(theta))

If sec(theta)=sqrt(2), Evaluate (1+tan(theta)+cosec(theta))/(1+cot(theta)-cosec(theta)) Problem Question If sec(theta)=sqrt(2), Evaluate (1+tan(theta)+cosec(theta))/(1+cot(theta)-cosec(theta)) Trigonometry Problems If tan(theta)=1/√7, Evaluate (cosec^2 (theta)-sec^2 (theta)/ (cosec^2 (theta)+sec^2 (theta)) If 3 tan(theta) = 4, find the value of (5 sin(theta)-3cos(theta)) / (5 sin(theta)+2cos(theta)) If sec(theta)=sqrt(2), Evaluate (1+tan(theta)+cosec(theta))/(1+cot(theta)-cosec(theta)) If 3 cot A = 4, Check whether (1-tan^2A)/(1+tan^2A) = cos^2 A – sin^2 A or not Prove that tan A/ (1-cot A) +cot A / (1-tan A) = sec A cosec A+1 If tan(theta) + cot(theta)=5, find the value of…

If 3 tan(theta) = 4, find the value of (5 sin(theta)-3cos(theta)) / (5 sin(theta)+2cos(theta))

If 3 tan(theta) = 4, find the value of (5 sin(theta)-3cos(theta)) / (5 sin(theta)+2cos(theta)) Problem Question If 3 tan(theta) = 4, find the value of (5 sin(theta)-3cos(theta)) / (5 sin(theta)+2cos(theta)) Trigonometry Problems If tan(theta)=1/√7, Evaluate (cosec^2 (theta)-sec^2 (theta)/ (cosec^2 (theta)+sec^2 (theta)) If 3 tan(theta) = 4, find the value of (5 sin(theta)-3cos(theta)) / (5 sin(theta)+2cos(theta)) If sec(theta)=sqrt(2), Evaluate (1+tan(theta)+cosec(theta))/(1+cot(theta)-cosec(theta)) If 3 cot A = 4, Check whether (1-tan^2A)/(1+tan^2A) = cos^2 A – sin^2 A or not Prove that tan A/…

If tan(theta)=1/√7, Evaluate (cosec^2 (theta)-sec^2 (theta)/ (cosec^2 (theta)+sec^2 (theta))

If tanθ=1/√7, Evaluate (cosec^2 θ-sec^2 θ)/ (cosec^2 θ+sec^2 θ) Problem Question If tanθ=1/√7, Evaluate (cosec^2 θ-sec^2 θ)/ (cosec^2 θ+sec^2 θ) Trigonometry Problems If tan(theta)=1/√7, Evaluate (cosec^2 (theta)-sec^2 (theta)/ (cosec^2 (theta)+sec^2 (theta)) If 3 tan(theta) = 4, find the value of (5 sin(theta)-3cos(theta)) / (5 sin(theta)+2cos(theta)) If sec(theta)=sqrt(2), Evaluate (1+tan(theta)+cosec(theta))/(1+cot(theta)-cosec(theta)) If 3 cot A = 4, Check whether (1-tan^2A)/(1+tan^2A) = cos^2 A – sin^2 A or not Prove that tan A/ (1-cot A) +cot A / (1-tan A) = sec A…

Solve 2x/y^3 dx+(y^2-3x^2/y^4) dy=0

Solve 2x/y^3 dx+(y^2-3x^2/y^4) dy=0 Problem Question Solve 2x/y^3 dx+(y^2-3x^2/y^4) dy=0 Topic Exact differential equations Type 1 Questions Solve dy/dx+(x+3y-4)/(3x+9y-2)=0 Solve dy/dx+(y cosx +siny +y)/(sinx + xcosy +x)=0 Solve ye^xy dx+(xe^xy +2y)dy=0 Solve (1+e^(x/y))dx+e^(x/y) (1-x/y)dy=0 Solve (y^2 e^(xy^2) + 4x^3)dx+(2xy e^(xy^2)-3y^2)dy=0 Solve 2x/y^3 dx+(y^2-3x^2/y^4) dy=0 Type 2 Questions Solve (4xy+3y^2–x)dx+x(x+2y)dy=0 Solve (x^2+y^2+x)dx+xydy=0 Solve y(2xy+1)dx–xdy=0 Solve (2xlogx–xy)dy + 2ydx = 0

Solve by Gauss-Jordan method x+y+z=6; x+2y+3z=10; x+2y+2z=8

Solve by Gauss-Jordan method x+y+z=6; x+2y+3z=10; x+2y+2z=8 Problem Question Solve by Gauss-Jordan method x+y+z=6; x+2y+3z=10; x+2y+2z=8 Topic Gauss elimination method, Gauss Jordan method, Gauss Siedal method Gauss elimination method problems Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20 Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2 Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7; x_1-2x_2-3x-3+2x_4=5; Solve by Gauss Elimination method x_1-2x_2+3x_3=2 ; 3x_1-x_2+4x_3=4 ; 2x_1+x_2-2x_3=5 Solve by Gauss-Elimination method x+y+z=6; x+2y+3z=10; x+2y+2z=8…

Solve by Gauss-Elimination method x+y+z=6; x+2y+3z=10; x+2y+2z=8

Solve by Gauss-Elimination method x+y+z=6; x+2y+3z=10; x+2y+2z=8 Problem Question Solve by Gauss-Elimination method x+y+z=6; x+2y+3z=10; x+2y+2z=8 Topic Gauss elimination method, Gauss Jordan method, Gauss Siedal method Gauss elimination method problems Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20 Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2 Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7; x_1-2x_2-3x-3+2x_4=5; Solve by Gauss Elimination method x_1-2x_2+3x_3=2 ; 3x_1-x_2+4x_3=4 ; 2x_1+x_2-2x_3=5 Solve by Gauss-Elimination method x+y+z=6; x+2y+3z=10; x+2y+2z=8…

Solve d^2 y/dx^2 -y = (1+x^2)e^x +x sin x using Non-homogenous Linear Differential Equation

Solve d^2 y/dx^2 -y = (1+x^2)e^x +x sin x using Non-homogenous Linear Differential Equation Problem Question Solve d^2 y/dx^2 -y = (1+x^2)e^x +x sin x using Non-homogenous Linear Differential Equation Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36…

Solve y’’-y = x^2 cos x using Non-homogenous Linear Differential Equation

Solve y’’-y = x^2 cos x using Non-homogenous Linear Differential Equation Problem Question Solve y’’-y = x^2 cos x using Non-homogenous Linear Differential Equation Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36 e^(3x) Solve (D^2-1)y = 3x^2+6x+12 Solve…

Solve (d^4y/dt^4)-y = e^t cos t using Non-homogenous Linear Differential Equation

Solve (d^4y/dt^4)-y = e^t cos t using Non-homogenous Linear Differential Equation Problem Question Solve (d^4y/dt^4)-y = e^t cos t using Non-homogenous Linear Differential Equation Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36 e^(3x) Solve (D^2-1)y = 3x^2+6x+12 Solve…

Solve d^2y/dx^2 -6dy/dx+25y = e^2x +sin x + x using Non-homogenous Linear Differential Equation

Solve d^2y/dx^2 -6dy/dx+25y = e^2x +sin x + x using Non-homogenous Linear Differential Equation Problem Question Solve d^2y/dx^2 -6dy/dx+25y = e^2x +sin x + x using Non-homogenous Linear Differential Equation Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36…

Solve (D^2-1)y = 3x^2+6x+12 using Non-homogenous Linear Differential Equation

Solve (D^2-1)y = 3x^2+6x+12 using Non-homogenous Linear Differential Equation Problem Question Solve (D^2-1)y = 3x^2+6x+12 using Non-homogenous Linear Differential Equation Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36 e^(3x) Solve (D^2-1)y = 3x^2+6x+12 Solve d^2y/dx^2 -6dy/dx+25y = e^2x…

Solve (D^4-18D^2+81)y=36 e^(3x) using Non-homogenous Linear Differential Equation

Solve (D^4-18D^2+81)y=36 e^(3x) using Non-homogenous Linear Differential Equation Problem Question Solve (D^4-18D^2+81)y=36 e^(3x) using Non-homogenous Linear Differential Equation Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36 e^(3x) Solve (D^2-1)y = 3x^2+6x+12 Solve d^2y/dx^2 -6dy/dx+25y = e^2x +sin x…

Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x using Non-homogenous Linear Differential Equation

Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x using Non-homogenous Linear Differential Equation Problem Question Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x using Non-homogenous Linear Differential Equation Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36 e^(3x) Solve (D^2-1)y = 3x^2+6x+12 Solve d^2y/dx^2 -6dy/dx+25y = e^2x +sin x + x…