Question on: JAMB Mathematics - 2010
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
\(\frac{13}{17}\)
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Correct Option: B
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})
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