if sec2alpha = cosec ( alpha - 24 ° ) , then the value of alpha is :- A) 35 B) 37 C) 36 D) 38
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Answer:
Correct option is
A (44°)
Step-by-step explanation:
Given, sec2A=cosec(A−42∘)
[∵secθ=cosec(90∘−θ)]
⇒cosec(90∘−2A)=cosec(A−42∘)
⇒(90∘−2A)=(A−42∘)
⇒90∘+42∘=A+2A
⇒132∘=3A
⇒A=44∘
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