The number of solutions of the equation ...

The number of solutions of the equation ` 1 +sin^(4) x = cos ^(2) 3x, x in [-(5pi)/(2),(5pi)/(2)]` is

A

5

B

4

C

7

D

3

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

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

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

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

Find the number of solution of the equations x+ 2 tan x =(pi)/(2) , when x in[0,2pi]

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

The number of solutions of the equation x^(3)+x^(2)+4x+2sinx=0 in 0 le x le 2pi is

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]

Find the number of solution of the equations |cot x|= cot x +(1)/(sin x), when x in [0,2pi]

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

The number of real solutions of the equation sqrt(1+cos2x)=sqrt2cos^(-1)(cosx) in [pi/2,pi] is _____