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Question
Question 5
If sec4A=cosec(A−20∘), where 4A is an acute angle, find the value of A.
If sec4A=cosec(A−20∘), where 4A is an acute angle, find the value of A.
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Solution
According to the question,
sec 4A=cosec(A−20∘)
Since cosec (90−θ)=secθ
⇒cosec(90∘−4A)=cosec(A−20∘)
Equating angles,
90∘−4A=A−20∘
⇒110∘=5A
⇒A=22∘,( an acute angle).
sec 4A=cosec(A−20∘)
Since cosec (90−θ)=secθ
⇒cosec(90∘−4A)=cosec(A−20∘)
Equating angles,
90∘−4A=A−20∘
⇒110∘=5A
⇒A=22∘,( an acute angle).
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