Question

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



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Answer 1

Step-by-step explanation:

Given:-

sec 2A = cosec (A – 27°) where 2A is an acute angle.

To find:-

Find the measure of ∠A.

Solution:-

Given that

sec 2A = cosec (A – 27°)

we know that

SecA=Cosec(90°-A)

=>Cosec(90°-2A)=Cosec (A-27°)

=>90°-2A=A-27°

=>A+2A=90°+27°

=>3A=117°

=>A=117°/3

=>A=39°

Answer:-

The measure of ∠A =39°

Used formulae:-

• SecA=Cosec(90°-A)