Aspire Faculty ID #15293 · Topic: JAMIA MCA 2016 · Just now
JAMIA MCA 2016

If $y = \log(\tan \theta)$, then $\dfrac{dy}{d\theta}$ is equal to …

Solution

$y=\log(\tan\theta)\ \Rightarrow\ \frac{dy}{d\theta} =\frac{1}{\tan\theta}\cdot\sec^{2}\theta =\frac{\sec^{2}\theta}{\tan\theta} =\frac{1}{\sin\theta\cos\theta} =\sec\theta\,\csc\theta.$
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