Question

If sec 4A = cosec (A − 20°) where 4A is an acute angle, then find the value of A.
OR
In Δ ABC right-angled at C, if $tan A = \frac{1}{\sqrt{3}}$ then find the value of sin A cos B + cos A sin B.

Answer 1

cosec(90-4a)=cosec(a-20)
90-4A=A-20.......{cosec is cancelled from both sides}
90+20=A+4A
110/5=A
22°=A