This question is from trigonometry topic – trigonometric ratios on complementary angles in which we have to find the value of A, if sec4A = cosec(A-15°)
RS Aggarwal, Class 10, chapter 12, question no 14
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sec4A=cosec(A−15o) (given)
⇒cosec(90°−4A)=cosec(A−15°)
⇒90°−4A=A−15°
⇒A+4A=90°+15°
⇒5A=105°
⇒A=21°
The value of A=21°