Question
Download Solution PDFWhat is \(\rm \lim_{x\rightarrow \frac{\pi}{2}}(\sec \theta-\tan \theta)\) equal to?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
\(\rm \lim_{x\rightarrow \frac{\pi}{2}}(\sec \theta-\tan \theta)\)
= \(\rm \lim_{x\rightarrow \frac{\pi}{2}} \frac{1-sin\theta }{cos\theta} [\frac{0}{0}\) Form]
= \(\rm \lim_{x\rightarrow \frac{\pi}{2}}( \frac{-cos\theta}{-sin\theta}) =0\) (using L' hospital rule)
∴ Option (b) is correct.
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