How to simplify (sin^2(t)+cos^2(t) )/ cos^2(t)?

Brisa Lyons

Brisa Lyons

Answered question

2022-12-23

How to simplify sin2(t)+cos2(t)cos2(t)?

Answer & Explanation

Jonah Curtis

Jonah Curtis

Beginner2022-12-24Added 10 answers

Each term on the numerator is divided by cos2t
sin2tcos2t+cos2tcos2t=tan2t+1..(A)
From the identity aasin2t+cos2t=1aa
divide each term by cos2t
sin2tcos2t+cos2tcos2t=1cos2t we obtain the identity.
aatan2t+1=sec2taa
Substitute this result into the right side of (A)
sin2t+cos2tcos2t=sec2t

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