Question

question 1 of 12
what is \\(\cos 23^\circ\\)?
image of a right triangle with angles 23°, 67°, 90°, hypotenuse 13, one leg 5, the other leg 12
\\(\bigcirc\\) a. \\(\frac{12}{5}\\)
\\(\bigcirc\\) b. \\(\frac{5}{13}\\)
\\(\bigcirc\\) c. \\(\frac{12}{13}\\)
\\(\bigcirc\\) d. \\(\frac{5}{12}\\)

Explanation:

Step1: Recall cosine definition

For an acute angle in a right triangle, $\cos(\theta) = \frac{\text{adjacent side}}{\text{hypotenuse}}$

Step2: Identify sides for 23°

Adjacent side to $23^\circ$ is 12, hypotenuse is 13.

Step3: Calculate $\cos23^\circ$

$\cos23^\circ = \frac{12}{13}$

Answer:

C. $\frac{12}{13}$