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Prove the identity.$\cosh 2x = \cosh^2 x + \sinh^2 x$

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Shariful H.

March 16, 2021

cosh^2x+sinh^2x=cosh2x

Anna Marie V.

Campbell University

Caleb E.

Baylor University

Samuel H.

University of Nottingham

Michael J.

Idaho State University

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Video Transcript

okay. We know we can rewrite the right side as each of the AKs plus e to the negative acts squared over four, plus each of the AKs. I'm gonna see the negative axe over four squared, which gives us to eat of the two acts. Plus, Chu, you know the negative to axe over four. Now, remember, the twos can cancel, right, because they both go into four. Therefore, we have either the two acts plus with negative two acts. And then this is just a little bite to which gives us co sign age of two acts.