Given 15 cot A = 8, find sin A and sec A.
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Answer: sin A = 5/√89 , sec A = √89/8
Step-by-step explanation:
given, 15 cot A = 8
=> cot A = 8/15 [ since , cot A = adjacent side/opposite side]
adjacent side = 8
opposite side = 15
(hypotenuse)² = (opposite side)² + (adjacent side )²
= (15)² + (8)²
= 225 + 64
(hypotenuse)² = 289
=> hypotenuse = 17
sin A = opposite side/hypotenuse sec A = hypotenuse/adjacent side
= 15/17 = 17/8
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