`(tan(x) + cot(y))/(tan(x)cot(y)) = tan(y) + cot(x)` Verfiy the identity.

Textbook Question

Chapter 5, 5.2 - Problem 39 - Precalculus (3rd Edition, Ron Larson).
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mathace | (Level 3) Assistant Educator

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Verify the identity: `[tan(x)+cot(y)]/[tan(x)cot(y)]=tan(y)+cot(x)`

Rewrite the left side of the equation as two fractions.



Simplify the left side of the equation using the following reciprocal identities:

1/cot(y)=tan(y)  and 1/tan(x)=cot(x)


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