Question on: JAMB Mathematics - 2011
Find the derivative of (\frac {\sin\theta}{\cos\theta})
A
sec2 \(\theta\)
B
tan \(\theta\) cosec \(\theta\)
C
cosec \(\theta\)sec \(\theta\)
D
cosec2\(\theta\)
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Correct Option: A
(\frac {\sin\theta}{\cos\theta})
(\frac{\cos \theta {\frac{d(\sin \theta)}{d \theta}} - \sin \theta {\frac{d(\cos \theta)}{d \theta}}}{\cos^2 \theta})
(\frac{\cos \theta. \cos \theta - \sin \theta (-\sin \theta)}{cos^2\theta})
(\frac{cos^2\theta + \sin^2 \theta}{cos^2\theta})
Recall that sin2 (\theta) + cos2 (\theta) = 1
(\frac{1}{\cos^2\theta}) = sec2 (\theta)
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