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31 October, 20:05

Prove the identity with steps. sin (x-y) / cos x sin y = tan x cot y - 1

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  1. 31 October, 20:25
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    Step-by-step explanation:

    sin (x-y) / (cos x sin y)

    Use angle sum/difference formula:

    (sin x cos y - sin y cos x) / (cos x sin y)

    Divide:

    (sin x cos y) / (cos x sin y) - 1

    Rearrange:

    (sin x / cos x) (cos y / sin y) - 1

    Simplify:

    tan x cot y - 1
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