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29 October, 23:01

Use the fundamental identities to simplify the expression.

9tantheta9cottheta/9sectheta

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  1. 30 October, 02:28
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    [9tan (θ) * 9cot (θ) ] / 9sec (θ)

    First cancel out the 9's:

    tan (θ) cot (θ) / sec (θ)

    Recall the following trig identities:

    tan = sin/cos

    cot = cos/sin

    sec = 1/cos

    Thus, we can rewrite the expression as:

    [ (Sin (θ) / cos (θ)) * (cos (θ) / sin (θ)) ] / (1/cos (θ))

    In the numerator, the sine's and cosine's cancel each other out:

    1 / (1/cos (θ))

    which we can rewrite as cos (θ).
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