Question

If sec 2A = cosec (A – 27°) where 2A is an acute angle, find the measure of ∠A. ​

Answer 1

Step-by-step explanation:

2A is measure of acture angle 2A∠90

∘

⇒A∠45

∘

sec2A=cosec(A−42)

cos(2A)

1

=

sin(A−42)

1

sin(A−42)=cos(2A)=sin(90−2A)

(∵2A∠90

∘

)

⇒sin(A−42)=sin(90−2A)

⇒A−42=90−2A

3A=132

A=

3

132

=44

∘