Question

if 3 tan theta = 1 then sin theta is equal to

Answer 1

sin theta =1/
$\sqrt{10}$

Answer 2

Answer:

1/√10

Step-by-step explanation:

Given,

$3 tan \theta = 1$

$\implies tan \theta = \frac{1}{3}$

Since, we know that,

$tan\theta = \frac{\text{P}}{\text{B}}$

Where, P shows the perpendicular and B shows the base,

$\implies \frac{\text{P}}{\text{B}}=\frac{1}{3}$

$\implies \text{P}=1$ and $\text{B}=3$

By the Pythagoras theorem,

H² = P² + B², Where, H shows the hypotenuses,

⇒ H² = 1 + 9 = 10 ⇒ H = √10,

Hence,

$sin\theta=\frac{P}{H}=\frac{1}{\sqrt{10}}$