Math cos x + 1 =sinx ?

Question

has be to be in exact value

intervals from 0 to 2pi

thanks

Answer 1

square both sides

cos^2(x) + 2cosx + 1 = sin^2(x) = 1 - cos^2(x)

2 cos^2(x) + 2cosx = 0 .. . . then factor

2cos x [ cosx +1 ] = 0

cos x = 0

or cos x = -1

if cos x = 0, then sin x = 1

then x = π/2

if cos x = -1 then x = π