8 TanA=15, then find SinA- CosA *
8/17
17/7
1/17
7/17
Other:
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Answer:
using tan²A+ 1 = sec²A
Step-by-step explanation:
8 tan A = 15
tan A = 15/8
squaring both sides
tan²A = 225/64
sec²A - 1 = 225/ 64
sec²A = 225/64 +1
sec² A = 225+ 64/ 64
sec²A =289/64
sec A = √289/√64
sec A = 17 /8
cos A = 8/17
squaring both sides
cos²A = 64/289
1 - sin²A = 64/289
1 - 64/289 = sin²A
sin²A = 289 - 64/ 289
sin²A = 225/289
sin A = 15/17
sin A - cos A
15/17 - 8/17
15 - 8
17
7/17
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