If sec 6A = cosec (A – 29°), where 2A is an acute angle, then the measure of ∠A = ___°.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 17.
sec 6A = cosec (A – 29°)
We know that,
secθ = cosec(90 - θ)
So, for sec 6A = cosec(A − 29∘),
⇒ 6A = 90∘ - (A - 29∘)
⇒ 6A = 90∘ - A + 29∘
⇒ 6A + A = 29∘ + 90∘
⇒ 7A = 119∘
⇒ A = 119∘/7
⇒ A = 17∘
Therefore, the measure of ∠A is 17°