Question on: JAMB Mathematics - 1992
Given that (\theta) is an acute angle and sin (\theta) = (\frac{m}{n}), find cos (\theta)
A
\(\frac{\sqrt{n^2 - m^2}{m}\)
B
\(\frac{\sqrt{(n + m)(n - m)}{n}\)
C
\(\frac{m}{\sqrt{n^2 - m^2}\)
D
\(\sqrt{\frac{n}{n^2 - m^2}}\)
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Correct Option: B
sin (\theta) = (\frac{m}{n}) x x2
= n2 - m2
x = n2 - m2 cos (\theta)
(\frac{x}{n}) = (\frac{n^2 - m^2}{n})
cos (\theta) = (\frac{n^2 - m^2}{n})
= (\frac{(n + m)(n - m)}{n})
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