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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Solution Summary
This provides proofs of trigonometric identities.
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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 ...
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