Home
Class 12
MATHS
If the sum of all the solutions of the e...

If the sum of all the solutions of the equation
`8 cosx.(cos(pi/6+x)cos(pi/6-x)-1/2)=1` in `[0,pi]` is `k pi`
then k is equal to

A

(a) `(13)/(9)`

B

(b) `(8)/(9)`

C

(c) `(20)/(9)`

D

(d) `(2)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

cos((3pi)/4+x)-cos((3pi)/4-x)=

The number of solutions of the equation sinx-sin2x+sin3x=2cos^(2)x-cosx" in "(0,pi) is

Let y=g(x) be the solution of the differential equation sin x(dy)/(dx)+y cos x=4x, x in (0,pi) If y(pi/2)=0 , then y(pi/6) is equal to

Show that cos^2(pi/4-x)+cos^2(pi/4+x)=1

The number of solutions of the equation cos^2(x+pi/6)+cos^2x-2cos(x+pi/6)dotcos(pi/6)=sin^2(pi/6) in interval ((-pi)/2,pi/2) is_________

Principal solutions of the equation sin 2x + cos 2x = 0 , where pi < x < 2pi

Prove the following: cos(pi/4+x)+cos(pi/4-x)=sqrt2cosx

cos.(2pi)/(7)+cos.(4pi)/(7)+cos.(6pi)/(7)

If 4sin^(-1)x+cos^(-1)x=pi , then x is equal to

If cos^(-1)x + cos^(-1)y + cos^(-1)z = 3pi, then xy + yz +zx is equal to