Home
Class 12
MATHS
If cos p theta+cos q theta=0, then prove...

If `cos p theta+cos q theta=0`, then prove that the different values of `theta` are in A.P. with common difference `2pi// (p pm q)`.

Text Solution

AI Generated Solution

To prove that the different values of \( \theta \) satisfying the equation \( \cos p\theta + \cos q\theta = 0 \) are in Arithmetic Progression (A.P.) with a common difference of \( \frac{2\pi}{p \pm q} \), we can follow these steps: ### Step 1: Rewrite the Equation Start with the given equation: \[ \cos p\theta + \cos q\theta = 0 \] This can be rewritten as: ...
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    CENGAGE ENGLISH|Exercise Concept Application Exercise 4.4|9 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE ENGLISH|Exercise Concept Application Exercise 4.5|5 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE ENGLISH|Exercise Concept Application Exercise 4.2|6 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

Similar Questions

Explore conceptually related problems

If tan a theta-tan b theta=0 , then prove that the values of theta forms an A.P.

If tan m theta = tan n theta and general value of theta are in AP, then common difference is

Solve : cos p theta = sin q theta.

If cosectheta + cottheta=p , then prove that the cos theta=(p^2-1)/(p^2+1)

If cosec theta + cot theta = p prove that cos theta = p2-1 / p2 + 1

If sin(pi cos theta) = cos(pi sin theta) , then the value of cos(theta+- pi/4) is

If sintheta,1,cos2theta are in G.P., then find the general values of theta

The values of x between 0 and 2pi which satisfy the equation sinxsqrt(8 cos^2 x)= 1 are in A.P. with common difference is

If P_n = cos^n theta+ sin^n theta then 2P_6-3P_4 + 1 =