Question

Sin θ = 12/37. Find tan θ.

Answer 1

Explanation:

using sin inverse rule to get theta

`sin^(-1) ((12)/(37) ) =18.9246` <---- theta

so tan(18.9246) =12 /35

Answer 2

B

Explanation:

Use SOHCAHTOA.

sinθ =
`(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 =
`(opposite)/(adjacent)` = 12/35

Choice B is the correct answer.