2010
Mathematics
67ca00ce0c643c71d77dee1f
If cotθ = 8/15, where θ is acute, find sinθ
A.
8/17
B.
15/17
C.
16/17
D.
13/17
Correct Answer: 15/17
Explanation
cotθ = 1/cosθ = 8/15(given) tanθ = 15/18 By Pythagoras theorem, x2 = 152 + 82 x2 = 225 + 64 = 289 x = √289 = 17 Hence sinθ = 15/x = 15/17
cotθ = 1/cosθ = 8/15(given) tanθ = 15/18 By Pythagoras theorem, x2 = 152 + 82 x2 = 225 + 64 = 289 x = √289 = 17 Hence sinθ = 15/x = 15/17THIS WEEK's
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