Home
Class 12
MATHS
Evaluate tan^(-1)((3sin 2alpha)/(5+3cos2...

Evaluate `tan^(-1)((3sin 2alpha)/(5+3cos2alpha)) +tan^(-1)((1)/(4)tan alpha)`, where, `-(pi)/(2) lt alpha lt (pi)/(2)`.

Text Solution

Verified by Experts

The correct Answer is:
`alpha`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT PRAKASHAN|Exercise Chapter Test (4 MARKS Questions) |5 Videos

  • INTEGRATION

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST (6 MARK QUESTIONS) |7 Videos

  • LINEAR PROGRAMMING

    ARIHANT PRAKASHAN|Exercise Chapter Test (6 MARKS Questions) |10 Videos

Similar Questions

Explore conceptually related problems

Differentiate tan^(-1) ((x sin alpha)/(1-x cos alpha))

Evaluate "tan"("sin"^(-1)3/(5)+"cot"^(-1)3/(2)) .

Evaluate : tan^(-1)((-1)/sqrt3)+cot^(-1)(1/sqrt3)+tan^(-1)(sin(-π/2)) .

Prove that cos^(-1)[(cos alpha +cos beta)/(1+cos alpha cos beta)]=2tan^(-1)("tan"(alpha)/(2)"tan"(beta)/(2))

Prove that tan^(-1)((1)/(5)) +tan^(-1)((1)/(7)) +tan^(-1)((1)/(3)) +tan^(-1)((1)/(8)) = (pi)/(4) .

Solve: "tan"^(-1)(x-2)/(x-2) + "tan"^(-1) (x+1)/(x+2)=pi/4