Basic Mathematics Problems

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)) 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 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) 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) 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 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 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)) 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)) 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 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…

Find the derivative of sin(x+1) from first principle Problem Question Find the derivative of sin(x+1) from first principle Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function y=1+x+x^2+…+x^50 at…

Find the derivative of (-x)^-1 from first principle Problem Question Find the derivative of (-x)^-1 from first principle Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function y=1+x+x^2+…+x^50 at…

Find the derivative of (-x) from first principle Problem Question Find the derivative of (-x) from first principle Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function y=1+x+x^2+…+x^50 at…

Find the derivative of 2tanx - 7secx Problem Question Find the derivative of 2tanx - 7secx Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function y=1+x+x^2+…+x^50 at x=1 Find…

Find the derivative of 5sinx - 6cosx + 7 Problem Question Find the derivative of 5sinx - 6cosx + 7 Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function…

Find the derivative of 3cotx + 5cosecx Problem Question Find the derivative of 3cotx + 5cosecx Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function y=1+x+x^2+…+x^50 at x=1 Find…

Find the derivative of cosec x Find the derivative of cosecant x Problem Question Find the derivative of cosecx Find the derivative of cosecantx Find the derivatives of cosecx Find the derivatives of cosecantx Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the…

Find the derivative of 5secx + 4cosx Problem Question Find the derivative of 5secx + 4cosx Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function y=1+x+x^2+…+x^50 at x=1 Find…

Find the derivative of sec x Find the derivative of secant x Problem Question Find the derivative of secx Find the derivative of secantx Find the derivatives of sec x Find the derivatives of secant x Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x…

Find the derivatives of sinx cosx Problem Question Find the derivatives of sinx cosx Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function y=1+x+x^2+…+x^50 at x=1 Find the derivatives…