Question

If tanA = cot (A-35°) where 4A is an acute angle, find the value of A.

Answer 1

The value of A is 62.5°

Step-by-step explanation:

tanA = cot (A-35°)

Using formula, tan x = cot (90-x)

Therefore,

$\tan A=\cot(A-35^\circ)$

$cot(90^\circ-A)=\cot(A-35^\circ)$

So, $90^\circ-A=A-35^\circ$

2A=125

A = 62.5°

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