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Trigonometric identities

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Prove the following Identities:

1. sec A = cos A (tan² A + 1)

2. sec² A = sin² A + cos² A + tan² A

3. 1 + sin A = cos² A / 1 - sin A

4. cot A csc A / sec A = cot² A + 1 / tan² A + 1

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https://brainmass.com/math/trigonometry/trigonometric-identities-found-201924

Solution Preview

1. Proof:
cos A (tan² A + 1) = cos A * sec² A = cos A / cos² A = 1 / cos A = sec A
Thus sec A = cos A (tan² A + 1)
2. Proof:
sin² A ...

Solution Summary

This provides proofs of trigonometric identities.

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