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30 August, 11:20

Simplify the following, tan - x cos - x

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  1. 30 August, 11:28
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    Tan (A) = sin (A) / cos (A)

    so

    tan (A) * cos (A) = sin (A) / cos (A) * cos (A)

    =sin (A) [ by cancelling cos (A) ]

    substitute - x for A, then

    tan (-x) cos (-x) = sin (-x)

    [ provided cos (-x) does not equal zero, i. e. x does not equal (k+1/2) pi where k is an integer ]
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