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Introduction to Trigonometry
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13/06/2021 11:51 am
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If sec 4A = cosec (A – 20°), where 4A is an acute angle, find the value of A.
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13/06/2021 11:58 am
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 = 110°/ 5 = 22°
Therefore, the value of A = 22°