Question

If sec5A = cosec(A-30), then the value of A is ___.

Answer 1

cosec(90 - 5A) = cosec(A - 30) (As, sec$\theta$ = cosec(90 - $\theta$))

$\Rightarrow$ 90 - 5A = A - 30

$\Rightarrow$ 6A = 120

$\Rightarrow$ A = 20