Question

which shows the correct trig equation? tanθ = 14/8 cosθ = 8/14 sinθ = 8/14 cosθ = 14/8

Explanation:

Step1: Recall trigonometric ratios

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\), \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\), \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\).
For the given angle \(\theta\), the adjacent side is \(8\) and the hypotenuse is \(14\).

Step2: Calculate \(\cos\theta\)

Using the formula \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\), we substitute adjacent \( = 8\) and hypotenuse \(=14\). So, \(\cos\theta=\frac{8}{14}\).

Answer:

\(\cos\theta = 8/14\) (the blue option)