If 8sinA = 15cosA, find sec A =?
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Answer:
17/8
Step-by-step explanation:
=> 8sinA = 15cosA
=> sinA/cosA = 15/8
=> tanA = 15/8
Square on both sides,
=> tan²A = 15²/8²
=> sec²A - 1 = 15²/8² (tan²A = sec²A - 1)
=> sec²A = 15²/8² + 1
=> sec²A = (225 + 64)/64 = 289/64
=> secA = ± 17/8
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