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Given that theta is an acute angle and sin thet... - JAMB Mathematics 1992 Question

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
\(\sqrt{\frac{n}{n^2 - m^2}}\)
Ask EduPadi AI...
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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