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