Prove that # sin^2x + sin^2xcot^2x -= 1# is an identity?
1 Answer
Mar 23, 2017
We will use the following standard trigonometric identities:
# 1+cot^2theta -= csc^2 theta #
So then:
# sin^2x + sin^2xcot^2x -= sin^2x(1+cot^2x) #
# " " -= sin^2x(csc^2x) #
# " " -= sin^2x*1/(sin^2x) #
# " " -= 1 # QED
