Question

. If Sec 5A = Cosec ( A + °
) where 5A is an acute angle , find the value of A .

Answer 1

Sec5A = cosec(A - 36)

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We know,

Cosec(90 - ∅) = sec∅

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Then,

Sec5A = cosec(A - 36)

Cosec(90 - 5A) = cosec(A - 36)

90 - 5A = A - 36

90 + 36 = A + 5A

126 = 6A

126/6 = A

21 = A

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Value of A = 21°