The number of solutions of the equation ...

The number of solutions of the equation `16(sin^(5)x +cos^(5)x)=11(sin x + cos x)` in the interval `[0,2pi]` is

A

6

B

7

C

8

D

9

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

The general solution of the equation sin^(50)x-cos^(50)x=1 is …………

sin 2x + cos x =0

The number of solutions of the equation 16^(sin^(2)x)+16^(cos^(2)x)=10,x in[0,3pi] is …………..

The number of distinct solutions of the equation 5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2 in the interval [0,2pi] is

The number of solutions of the equation 3sin^(2)x-7sinx+2=0 in [0,5pi] are …………

Find the number of solution of the equations sin^3 x cos x + sin^(2) x* cos^(2) x+sinx * cos^(3) x=1 , when x in[0,2pi]

Number of solutions (s) of the equations cos^(-1) ( 1-x) - 2 cos^(-1) x = pi/2 is

The number of real solution of equation Sin(e^x) = 5^x + 5^(-x) is :

Find the number of solution of the equations 2^(cos x)=|sin x|, when x in[-2pi,2pi]

Find the number of solutions of sin^(2) x cos^(2)x=1+cos^(2)xsin^(4) x in the interval [0,pi]