Question

which shows the correct trig equation? sin 20 = 5/12 sin 5 = 20/12 tan 12 = 20/5 cos 20 = 5/12

Explanation:

Step1: Recall trigonometric ratios

$\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$

Step2: Identify sides for $\theta = 20^{\circ}$

Opposite side $= 5$, hypotenuse $= 12$

Step3: Calculate $\sin20^{\circ}$

Using $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$, we get $\sin20^{\circ}=\frac{5}{12}$

Answer:

$\sin20 = 5/12$ (the orange - colored option)