Home
Class 12
MATHS
Show taht 2tan^-1(tan(alpha/2)tan(pi/4-b...

Show taht `2tan^-1(tan(alpha/2)tan(pi/4-beta/2))=tan^-1((sinalphacosbeta)/(cosalpha+sinbeta))`

Text Solution

Verified by Experts

The correct Answer is:
` = tan^(-1) ((sin alpha.cos beta)/(cos alpha + sin beta))`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Subjective Type Examples|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|5 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

tan^(-1)[sin(-pi/2)]=pi/4 .

Evaluate tan^-1(tan((5pi)/4))

show that tan^-1(1/2) + tan^-1(1/5) + tan^-1(1/8) = pi/4

Prove that : tan^(-1)2+tan^(-1)3=(3pi)/4

Prove that tan^-1(1/2) + tan^-1 (1/3) = pi/4

Prove that : 2 tan^-1(1/5) + tan^-1(1/4) = tan^-1(32/43)

If 2tanalpha=3 tanbeta , show that tan(alpha-beta)=(sin2beta)/(5-cos2beta)

Prove that : 2 tan^-1 (1/5) + tan^-1 (1/8) = tan^-1(4/7)

If tan (alpha- beta)= (sin 2 beta)/(5-cos 2 beta) , find tan alpha: tan beta .