SATHEE: Quantitative Aptitude Ques 509

Quantitative Aptitude Ques 509

Question: If $ (\cos \theta +\sec \theta )=\frac{5}{2}, $ then $ ({{\cos }^{2}}\theta +{{\sec }^{2}}\theta ) $ is equal to

Options:

A) $ \frac{33}{4} $

B) $ \frac{21}{4} $

C) $ \frac{29}{4} $

D) $ \frac{17}{4} $

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Answer:

Correct Answer: D

Solution:

[d] $ {{(\cos \theta +sec\theta )}^{2}}=\frac{25}{4} $

$ \Rightarrow $ $ {{\cos }^{2}}\theta +{{\sec }^{2}}\theta +2\cos \theta \sec \theta =\frac{25}{4} $

$ \Rightarrow $ $ {{\cos }^{2}}\theta +{{\sec }^{2}}\theta +2=\frac{25}{4} $

$ \Rightarrow $ $ ({{\cos }^{2}}\theta +{{\sec }^{2}}\theta )=[ \frac{25}{4}-2 ]=\frac{17}{4} $

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Quantitative Aptitude Ques 509

Question: If $ (\cos \theta +\sec \theta )=\frac{5}{2}, $ then $ ({{\cos }^{2}}\theta +{{\sec }^{2}}\theta ) $ is equal to

Options:

Answer:

Solution:

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