i need help showing the folowing is valid:(adsbygoogle = window.adsbygoogle || []).push({});

tan^4(w) + 2tan^2(w) +1 = sec^4(w)

I am pretty lost, I know I should expand the left side and go from there. SO far I have gotten:

[sin^4(w)/cos^4(w)] + [2sin^2(w)/cos^2(w)] + [sin^2(w) +cos^2(w)]

and then I am stuck when I try and add these terms together, Imay have made mistakes some where along the line in adding the fractions, could someone point me in the right direction? am I right so far?

the farthest i have gotten on the left side is:

[sin^4(w) + 2sin^2(w)cos^2(w) + sin^2(w)cos^4(w) +cos^6(w)] /cos^4(w)

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# Homework Help: Trig help

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