Question

Use Trig identities to verify that sec^4(x)-tan^4(x)=1+2tan^2(x), Only work with one side of the equation

Mar 1, 2011

sec^4(x) - tan^4(x) =
= (1 + tan^2(x))^2 - tan^4(x)
= 1 + 2tan^2(x) + tan^4(x) - tan^4(x)
= 1 + 2tan^2(x)

QED

Mar 2, 2011

Related Questions

use the fundamental trig. Identities to simplify tan^4x+2tan^2x+1 How am I suppose to transform the left side of the equation into the right side using trig identitie... [Note: I'm still having issues with identities with regard to trig] Verify the Trig. identities:... Use trig identities to transform the expression (sec θ)/(csc θ) into a single trig function. Assume...