How do you verify the identity csc^4theta-cot^4theta=2cot^2theta+1?

1 Answer
Oct 7, 2016

see below

Explanation:

csc^4 theta-cot^4 theta = 2 cot^2 theta + 1

Left Side : =csc^4 theta-cot^4 theta

=(csc^2 theta-cot^2theta)(csc^2 theta+cot^2 theta)

=1* (csc^2 theta+cot^2 theta)

=csc^2 theta+cot^2 theta

=1+cot^2 theta + cot^2 theta

=1+2 cot ^2 theta

=2 cot ^2 theta+1

:.= Right Side