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Question

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


Solution

Here,

sec 4A = cosec (A - 20°)
So, sec 4A = sec (90° - (A - 20°))
So, sec 4A = sec (70° - A)

So, 4A = 70° - A
So, 5A = 70°
So, A = 705
So, A = 14°

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