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How to solve Trig Identities We have already learned about basic trigonometric identities. Now, let us learn how to solve trig identities. Identity 1: To Prove: (1 - sin ^2 Ó¨ ) . sec^2 Ó¨ = 1.Proof: We know (1 - sin ^2 Ó¨ ) = cos ^2 Ó¨ ----- (1)