If sec 4A = cosec (A – 20°), where 4A is an acute angle, find the value of A.

Asked by Abhisek | 1 year ago |  88

1 Answer

Solution :-

sec 4A = cosec (A – 20°)

We know that sec 4A = cosec (90° – 4A)

To find the value of A, substitute the above equation in the given problem

cosec (90° – 4A) = cosec (A – 20°)

Now, equate the angles

90° – 4A= A- 20°

110° = 5A

A = \( \dfrac{110°}{5}\) = 22°

Therefore, the value of A = 22°

Answered by Pragya Singh | 1 year ago

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