Question

If Tan(tanA)= cot(cotB) then A+B

Answer 1

Answer:

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Answer 2

The correct question is: If tan A = cot B, then A+B is?

If tan A = cot B, then the value of A+B is 90.

Step-by-step Explanation

Given that $tan A=cot B$

To be found: To find the value of A+B

Solution:

We have, $tan A=cot B$  ------------(1)

Now using the trigonometric property, $cot\theta=tan(90-\theta)$, we get (1) as,

$tan A=tan(90-B)$          $[\because cot B=tan(90-B)]$

Simplifying, we get

$A=tan^{-1} tan(90-B)$

$\implies A=90-B\\\implies A+B=90$

Therefore, A+B equals 90 when tan A = cot B.

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