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Question
If `(cos θ + sec θ) = 5/2` then (cos2θ + sec2θ) = ?
Options
`17/4`
`21/4`
`29/4`
`33/4`
MCQ
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Solution
`bb(17/4)`
Explanation:
`(cos θ + sec θ)^2 = (5/2)^2`
⇒ `cos^2θ + sec^2θ + 2 cos θ sec θ = 25/4`
⇒ `(cos^2θ + sec^2θ) + 2 = 25/4`
⇒ `(cos^2θ + sec^2θ) = (25/4 - 2) = 17/4`
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