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Prove the Following Trigonometric Identities. (Cot a + Tan B)/(Cot B + Tan A) = Cot a Tan B - CBSE Class 10 - Mathematics

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Question

Prove the following trigonometric identities.

`(cot A + tan B)/(cot B + tan A) = cot A tan B`

Solution

We have to prove `(cot A + tan B)/(cot B + tan A) = cot A tan B`

Now

`(cot A + tan B)/(cot B + tan A) = (cot A + 1/cot B)/(cot B + 1/cot A)`

`= ((cot A cot B + 1)/cot B)/((cot A cot B +1)/cot A)`

`= cot A/cot B`

`= cot A 1/cot B`

= cot A tan B

Hence proved 

  Is there an error in this question or solution?

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Solution Prove the Following Trigonometric Identities. (Cot a + Tan B)/(Cot B + Tan A) = Cot a Tan B Concept: Trigonometric Identities.
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