If cot(theta) = (frac{8}{15}), where (theta) is acute, find sin(theta)
-
A.
(frac{8}{17}) -
B.
(frac{15}{17}) -
C.
(frac{16}{17}) -
D.
(frac{13}{17})
Correct Answer: Option B
Explanation
cot(theta) = (frac{1}{cos theta})
= (frac{8}{15})(given)
tan(theta) = (frac{15}{18})
By Pythagoras theorem,
x2 = 152 + 82
x2 = 225 + 64 = 289
x = (sqrt{289})
= 17
Hence sin(theta) = (frac{15}{x})
= (frac{15}{17})