Question

if tan 2A = cot 3A, find the value of A​

Answer 1

Answer:

A = 18

Step-by-step explanation:

$\tan(2A) = \cot(3A) \\ \\ by \: using \: \cot(x) = \tan(90 - x) \\ \\ \tan(2A) = \tan(90 - 3A) \\ \\ 2A = 90 - 3A \\ 2A + 3A = 90 \\ 5A = 90 \\ A = 18$