Question

Value of 10 + 10 tan square theta, theta is equal to pi by 4

Answer 1

answer is 20

hope this may help you..

Answer 2

The value of 10 + 10$\tan^2 \theta$ = 20

Step-by-step explanation:

We have,

10 + 10$\tan^2 \theta$

To find, the value of 10 + 10$\tan^2 \theta$ = ?

∴ 10 + 10$\tan^2 \theta$

= 10(1 + $\tan^2 \theta$ )

= 10$\sec^2 \theta$

Using the trigonometric identity,

$\sec^2 \theta-sec^2 \theta=1$

Given by question,

$\theta=\dfrac{\pi}{4}$

= 10$\sec \dfrac{\pi}{4}$

= 10$\sec 45$

= 10 × 2 [ ∵ $\sec 45$ = 2]

= 20

Thus, the value of 10 + 10$\tan^2 \theta$ = 20