Advertisements
Advertisements
Question
If `(cos θ + sec θ) = 5/2` then the value of (cos2θ + sec2θ) is ______.
Options
`21/4`
`17/4`
`29/4`
`33/4`
MCQ
Fill in the Blanks
Advertisements
Solution
If `(cos θ + sec θ) = 5/2` then the value of (cos2θ + sec2θ) is `underlinebb(17/4)`.
Explanation:
`(cos θ + sec θ)^2 = 25/2`
⇒ `cos^2θ + sec^2θ + 2 = 25/4`
∴ `cos^2θ + sec^2θ = (25/4 - 2) = 17/4`.
shaalaa.com
Is there an error in this question or solution?
