Question

according to this diagram, what is cos 16°?
a. \\( \frac { 24 } { 25 } \\)
b. \\( \frac { 24 } { 7 } \\)
c. \\( \frac { 25 } { 24 } \\)
d. \\( \frac { 25 } { 7 } \\)
e. \\( \frac { 7 } { 24 } \\)
f. \\( \frac { 7 } { 25 } \\)

Explanation:

Step1: Recall cosine definition

In a right triangle, $\cos\theta = \frac{\text{adjacent side}}{\text{hypotenuse}}$.

Step2: Identify sides for $16^\circ$

For $\theta = 16^\circ$, adjacent side is $24$, hypotenuse is $25$.

Step3: Calculate $\cos 16^\circ$

$\cos 16^\circ = \frac{24}{25}$.

Answer:

A. $\frac{24}{25}$