Question

If $\sec \theta +\cos \theta =\sqrt{5}$, the value of ${\sec }^2\theta +{\cos }^2\theta$ is

• A. $5$
• B. $7$
• C. $25$
• D. $3$

Answer 1

Answer: (D)

$3$

$\sec \theta +\cos \theta =\sqrt{5}$
S.O.B.S
${\sec }^2\theta +{\cos }^2\theta +2=5$
${\sec }^2\theta +{\cos }^2\theta =3$