Question

If tan theta=root 3, then the value of sin theta is what?

Answer 1

Hii friend,

Tan theta = ✓3 /1 = Perpendicular/ Base

Perpendicular = ✓3 , Base = 1 , Hypotenuse = ?

We know that,

(H)² = (B)² + (P)²

(H)² = (1)² + (✓3)²

(H)² = 1 + 3

(H)² = 4

H = ✓4 = 2

Therefore,

Sin Theta = Perpendicular/ Hypotenuse = ✓3/2

HOPE IT WILL HELP YOU..... :-)

Answer 2

$\tan( \theta) = \sqrt{3}$
implies,
θ = 60°,
so,
$sin \theta = \sin(60 \degree) = \frac{ \sqrt{3} }{2}$

Hope you got help from my answer, if yes, then mark my answer as brainliest ☺️☺️.