use trigonometric and hyperbolic identities to solve and simplify the following:

4sin^2 theta +5cos theta =5
3tan^2 theta+5=7sec theta
prove that cosh^2x-sinh^2x=1
prove that sinh2x=2sinhxcoshx

any help with this would be much appreciated

thanks

Andy

Quote:

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prove that cosh^2x-sinh^2x=1

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They can be expressed in terms of e. This stuff should be in your calc book. Just use them.





Now, apply these identites and do the algebra. You should get 1.

Quote:

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4sin^2 theta +5cos theta =5

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Let's use an identity and try a substitution, then turn it into a quadratic.









Now, let



Solve the quadratic and resub.

Please, do not double post your questions.

https://www.askmehelpdesk.com/math-s...es-432694.html