English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative:If cos pθ + cos qθ = 0 and if p ≠ q, then θ is equal to (n is any integer)

Advertisements
Advertisements

Question

Choose the correct alternative:
If cos pθ + cos qθ = 0 and if p ≠ q, then θ is equal to (n is any integer)

Options

  • `(pi(3"n" + 1))/("p" - "q")`

  • `(pi(2"n" + 1))/("p" +- "q")`

  • `(pi("n" +- 1))/("p" +- "q")`

  • `(pi("n" + 2))/("p" + "q")`

MCQ
Advertisements

Solution

`(pi(2"n" + 1))/("p" +- "q"`

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Trigonometry - Exercise 3.12 [Page 150]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 3 Trigonometry
Exercise 3.12 | Q 12 | Page 150

RELATED QUESTIONS

If \[cosec x - \sin x = a^3 , \sec x - \cos x = b^3\], then prove that \[a^2 b^2 \left( a^2 + b^2 \right) = 1\]


If \[a = \sec x - \tan x \text{ and }b = cosec x + \cot x\], then shown that  \[ab + a - b + 1 = 0\]


Prove that:

\[\sin\frac{10\pi}{3}\cos\frac{13\pi}{6} + \cos\frac{8\pi}{3}\sin\frac{5\pi}{6} = - 1\]

Find the general solution of the following equation:

\[\sin x = \frac{1}{2}\]

Find the general solution of the following equation:

\[\cos x = - \frac{\sqrt{3}}{2}\]

Find the general solution of the following equation:

\[\sqrt{3} \sec x = 2\]

Find the general solution of the following equation:

\[\tan 3x = \cot x\]

Find the general solution of the following equation:

\[\tan mx + \cot nx = 0\]

Solve the following equation:

\[\cos x + \sin x = \cos 2x + \sin 2x\]

Solve the following equation:

\[\sin x + \sin 2x + \sin 3x + \sin 4x = 0\]

Solve the following equation:

\[\sin 3x - \sin x = 4 \cos^2 x - 2\]

Solve the following equation:
\[\cot x + \tan x = 2\]

 


Solve the following equation:
 sin x tan x – 1 = tan x – sin x

 


If cos x = k has exactly one solution in [0, 2π], then write the values(s) of k.

 

Write the values of x in [0, π] for which \[\sin 2x, \frac{1}{2}\]

 and cos 2x are in A.P.


A solution of the equation \[\cos^2 x + \sin x + 1 = 0\], lies in the interval


The number of values of ​x in [0, 2π] that satisfy the equation \[\sin^2 x - \cos x = \frac{1}{4}\]


General solution of \[\tan 5 x = \cot 2 x\] is


Solve the following equations for which solution lies in the interval 0° ≤ θ < 360°

cos 2x = 1 − 3 sin x


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×