Question

which shows the correct trig equation? tanθ = 14/5 sinθ = 5/14 sinθ = 14/5 cosθ = 5/14

Explanation:

Step1: Recall trigonometric ratios

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$.

Step2: Identify sides relative to $\theta$

The side opposite to $\theta$ is $5$, the hypotenuse is $14$.

Step3: Calculate $\sin\theta$

Using the formula $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$, we get $\sin\theta=\frac{5}{14}$.

Answer:

$\sin\theta = 5/14$ (the blue - colored option)