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Question
If 8 tan A = 15, find sin A – cos A.
Solution
8 tan A = 15 find. Sin A – cos A
`tan A = 15/8`
tan A = `"Opposite side"/"adjacent side"`
Let x be the hypotenuse By applying theorem
𝐴𝐶2 = 𝐴𝐵2 + 𝐵𝐶2
𝑥2 = 152 + 82
𝑥2 = 225 + 64
𝑥2 = 289 ⇒ x = 17
`sin A = (AB)/(AC) = 15/17`
`sin A - cos A = 15/17 - 8/17`
`= 7/17`
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