A) \[\frac{33}{4}\]
B) \[\frac{21}{4}\]
C) \[\frac{29}{4}\]
D) \[\frac{17}{4}\]
Correct Answer: D
Solution :
\[\cos \theta +\sec \theta =\frac{5}{2}\] Taking square both side,\[{{\cos }^{2}}\theta +{{\sec }^{2}}\theta +2=\frac{25}{4}\] \[{{\cos }^{2}}\theta +{{\sec }^{2}}\theta =\frac{25}{4}\] \[{{\cos }^{2}}\theta +{{\sec }^{2}}\theta =\frac{25-2}{4}\] \[{{\cos }^{2}}\theta +{{\sec }^{2}}\theta =\frac{17}{4}\]
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