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Question

If sec 5A° = cosec (A-30)°, then the value of A is ___.

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Solution

sec 5A° = cosec (A-30)°

cosec(90° - 5A°) = cosec(A - 30)° .....(As, secθ = cosec(90° - θ))

90° - 5A° = A° - 30°

6A° = 120°

A° = 20°


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