Verify the following identities:

Question

cos^4(x)+sin^4(x)=1-(1/2)sin^2(2x)... and tan^2(x/2)=(csc(x)-cot(x))^2?

Answer 1

cos^4(x)+sin^4(x)=1-(1/2)sin^2(2x)

Left hand side identity =

 = Right hand side identity.

 

 

tan^2(x/2)=(csc(x)-cot(x))^2

Left hand side identity =

 = Right hand side identity.