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28 September, 12:00

Use the fundamental identities to simplify the expression. There is more than one correct form of the answer.

7 sec^2 x (1 - sin^2 x)

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  1. 28 September, 15:32
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    The fundamental identities that are useful are

    Pythagorean relations: cos^2 x + sin^2 x = 1

    Inverse trigo identity: cos x = 1/secx

    Applying the pythagorean theorem, the equation would be:

    7sec^2 x (cos^2 x)

    Then applying the inverse trigo identity, the answer would be 7.

    Thus, the final answer is 7.
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