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Trigonometric Ratio(sin,cos,tan)

If Sec7-2 a=c...

Question

If Sec(7-2a)=cosec(5a-7), then find the value of a.

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Solution

Sec(7-2a)=cosec(5a-7)
or, sec(7-2a)=sec{90°-(5a-7)}
or, 7-2a=90°-5a+7
or, -2a+5a=90°
or, 3a=90°
or, a=30°

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