How do i solve: sinx = (cosx)^2 ?

1 Answer
Jun 5, 2018

sin^2(x)+sin(x)-1=0

Explanation:

Convert cos(x)^2 to sin(x) remember that 1-sin^2(x) = cos^2(x) and 1-cos^2(x) = sin(x)

converting the equation gives Sin(x) = 1-Sin^2(x)
bring the sin^2(x) over to make:
sin^2(x)+sin(x)=1

bring the 1 over too...

sin^2(x)+sin(x)-1=0
now if my maths is correct, you can solve that as a quadratic