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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

    © BrainMass Inc. brainmass.com October 9, 2019, 9:55 pm ad1c9bdddf
    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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