If sec2A=cosec(A-27) where 2A is an acute angle,then the measure of - Maths - Introduction to Trigonometry

Question

If sec2A=cosec(A-27) where 2A is an acute angle,then the measure
of

Manbar Singh · Accepted Answer

We have,    sec 2A = cosec A -27°⇒cosec 90° - 2A =  cosec A -27°     as, sec θ = cosec90°-θ⇒90° - 2A = A - 27°⇒-2A - A = -27 - 90⇒-3A = -117⇒A = 39°