Question

if tan theta =1, then find sec theta ​

Answer 1

Step-by-step explanation:

tan theta= 1= tan 45°

or, theta=45°

so, sec theta= sec 45°=1/cos45°=1/1/√2=√2

Answer 2

The value of $\sec \theta$ is equal to $\sqrt{2}$.

Step-by-step explanation:

We have, $\tan \theta$ = 1

To find, the value of $\sec \theta$ =?

∴ $\tan \theta$ = 1

⇒ $\tan \theta$ = $\tan 45$

We know that,

Using trigonometric,

$\tan 45$ = 1

⇒ $\theta$ = 45°

∴  $\sec \theta$

$=\sec 45$

= $\sqrt{2}$

The value of $\sec \theta$ = $\sqrt{2}$

Thus, the value of $\sec \theta$ is equal to $\sqrt{2}$.