By the pythagoras theorem??
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Answer: sec^2 theta - tan^2 theta=1
It cannot be proved by Pythagoras theorem. You need trigonometric identities.
Step-by-step explanation:- sec^theta=1/cos^2theta ( it's a formula)
1-sin^2 theta=cos^2theta
We get,
1/cos^2theta-sin^2theta/cos^2theta=1-sin^2theta/cos^2theta=cos^2theta/cos^2theta=1 (hence proved)
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