18.If 8 tan A = 15 then the value of ( sin A- cos A)/(sin A +cos A) = [ ] *
1 point
A.7/23
B. 11/23
C.13/23
D. 17/23
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Answer:
7/23
Step-by-step explanation:
tan^2 A = 225/64
sin^2 A/225 = cos^2 A /64 = (sin^2 A + cos^2 A)/(225+64) = 1/289
sin^2 A = 225/289 or sinA = 15/17
cos^2 A = 64/289 or cosA = 8/17
( sin A- cos A)/(sin A +cos A)
= (7/17) / (23/17)
= 7/23
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