Mathematics
JAMB 1984
If sin \(\theta\) = \(\frac{x}{y}\) and 0
o < 90
o then find \(\frac{1}{tan\theta}\)
-
A.
\(\frac{x}{\sqrt{y^2 - x^2}}\)
-
B.
\(\frac{y}{x}\)
-
C.
\(\frac{\sqrt{y^2 + x^2}}{y^2 - x^2}\)
-
D.
\(\frac{y^2 - x^2}{x}\)
Correct Answer: Option D
Explanation
\(\frac{1}{tan\theta}\) = \(\frac{cos\theta}{sin\theta}\)
sin\(\theta\) = \(\frac{x}{y}\)
cos\(\theta\) = \(\frac{\sqrt{y^2 - x^2}}{y}\)
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