If sec 2θ = cosec (θ – 36°), where 2θ is an acute angle, find the value of θ.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 42°.
Formula used:
If A + B = 90 then
sec A = cosec B ---- (1)
Calculations:
Using equation (1), we get
A = 2θ and B = θ - 26
⇒ 2θ + θ - 36 = 90
⇒ 3θ = 126
⇒ θ = 42°