Question

sin θ = 12/37. Find tan θ.

Answer 1

Answer:

B

Step-by-step explanation:

Use SOHCAHTOA.

sinθ = $\frac{opposite}{hypotenuse}$

Opposite side length= 12

Hypotenuse length = 37

Find the adjacent side length (b) using the Pythagorean theorem.

$12^2 + b^2 = 37^2$

b = 35

tanθ = $\frac{opposite}{adjacent}$ = 12/35

Choice B is the correct answer.

Answer 2

Answer:

Step-by-step explanation:

using sin inverse rule to get  theta

$sin^{-1} (\frac{12}{37} ) =18.9246$  <---- theta

so tan(18.9246) =12 /35