Find the total number of solution of sin...

Find the total number of solution of `sin^(4)x+cos^(4)x=sinxcosx" in "[0,2pi]` is equal to

A

(a) 2

B

(b) 4

C

(c) 6

D

(d) 8

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

Total number of solutions of 16^(sin^(2)x)+16^(cos^(2)x)=10" in "[0,2pi] are

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

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

int _(0) ^(pi//4) sin (x- [x])d (x-[x]) is equal to

If 4sin^4x+cos^4x=1 , then x is equal to (n in Z)

The solution of the equation cos^(2)x-2cosx=4sinx-sin2x,0lexlepi , is

Find the general solutions of the following equations: 4sinxcosx+2sinx+2cosx+1 = 0

Find the general solutions of the following equations: sin2x+sin4x+sin6x = 0

8sin(x/8)cos(x/2)cos(x/4)cos(x/8) is equal to

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