Question

If `(cos θ + sec θ) = 5/2` then the value of (cos²θ + sec²θ) is ______.

पर्याय

• `21/4`

• `17/4`

• `29/4`

• `33/4`

Answer 1

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`.