Yes, sec 2 x−1=tan 2 x is an identity sec 2 −1=tan 2 x Let us derive the equation We know the identity sin 2 (x)cos 2 (x)=1 ——(i) Dividing throughout the equation by cos 2 (x) We get sin 2 (x)/cos 2 (x) cos 2 (x)/cos 2 (x) = 1/cos 2 (x) We know that sin 2 (x)/cos 2 (x)= tan 2 (x), and cos 2 (x)/cos 2 (x) = 1 So the equation (i) after substituting becomes$$\tan 2x \neq \sec 2x \sin 2x \cos 2x $$ Based on the proof computed above, the given equation is not an identity Become a member and unlock all Study Answers Is tan^2x1=secx a pythagorean identityThe Pythagorean identity tells us that no matter what the value of θ is, sin²θcos²θ is equal to 1 We can prove this identity using the Pythagorean theorem in the unit circle with x²y²=1 Created by Sal Khan Google Classroom Facebook TwitterFree multiple angle identities list multiple angle identities by request stepbystep This
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