Home
Class 12
MATHS
If theta = (pi)/(2 ^(n) +1) prove that ...

If `theta = (pi)/(2 ^(n) +1) ` prove that `2 ^(n) cos theta cos 2 theta cos 2 ^(2) theta…. Cos 2 ^(n -1) theta =1 `

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 9|10 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 10|10 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 7|8 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

Prove that : sin 2 theta= 2sin theta cos theta .

If 8 theta=pi , prove that cos theta+ cos 7 theta=0 .

Prove that : cos theta- sin theta= sqrt2 cos (theta+ pi/4) .

Prove that : cos2 theta= cos^2 theta-sin^2 theta=1-2 sin^2 theta= 2 cos^2 theta-1 .

Prove that : (1+sin 2 theta-cos 2 theta)/(1+sin 2 theta+ cos 2 theta)= tan theta .

If f(x) =(1-x^2)/(1+x^2) , prove that f (tan theta)= cos 2 theta .

Solve cos theta * cos 2 theta * cos 3 theta = (1)/( 4), 0 le theta le pi

If cos theta =1/2(a+1/a) , prove that : 2 cos 2 theta= a^2+1/ a^2 .

sin^2theta+cos^2theta=1 .

Prove that : (2 cos 2^n theta +1)/(2cos theta +1)= (2cos theta-1)(2cos 2 theta-1) (2cos 2^2 theta-1)............ (2cos 2^(n-1)theta-1) .