A) \[-1\]
B) \[1\]
C) \[2\]
D) \[\frac{1}{2}\]
Correct Answer: B
Solution :
[b]\[\sqrt{(1-{{\cos }^{2}}\theta )\,{{\sec }^{2}}\theta }=\sqrt{{{\sin }^{2}}\theta \cdot {{\sec }^{2}}\theta }\] \[[{{\sin }^{2}}\theta +{{\cos }^{2}}\theta =1]\] |
\[=\sqrt{{{\sin }^{2}}\theta \times \frac{1}{{{\cos }^{2}}\theta }}=\sqrt{{{\tan }^{2}}\theta }=\tan \theta \] |
\[=k\tan \theta \] |
On comparing, we get |
\[k=1\] |
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