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Choose the correct answer in each of the following questions:
If `(cos theta + sec theta) =(5)/(2) " then " (cos^(2)theta + sec^(2)theta)=?`

A

`(21)/(4)`

B

`(17)/(4)`

C

`(29)/(4)`

D

`(33)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
`(cos theta+sec theta)^(2)=(25)/(4) rArrcos^(2)theta+sec^(2)theta+2=(25)/(4)rArr cos^(2)theta+sec^(2)theta=(25)/(4)-2=(17)/(4).`
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