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Quotient Identity and Pythagorean Identity

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Prove the identities.

A) TANa + 1 = 1
------ ------------
TANa SINa COSa

B) TANa-1= SIN^2a - COS^2a
------------------------
SINa COSa + COS^2a.

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Solution Summary

Quotient and pythagorean identities are investigated and discussed in the solution.

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(A) tan(a)+1/tan(a)=sin(a)/cos(a)+cos(a)/sin(a)
=(sin^2(a)+cos^2(a))/(sin(a)cos(a))
=1/(sin(a)cos(a))
Thus ...

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