Question

identifying trig ratios (diagram), level 1
score: 0/3 penalty: none
question
express cos m as a fraction in simplest terms.
answer attempt 1 out of 2
cos m =

Explanation:

Step1: Recall the cosine formula

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). For angle \(M\), the adjacent side to \(M\) is \(ML = 9\), and the hypotenuse \(MK=15\).

Step2: Calculate \(\cos M\)

Substitute the values into the formula: \(\cos M=\frac{ML}{MK}=\frac{9}{15}\). Then simplify the fraction. Divide both the numerator and the denominator by their greatest common divisor, which is 3. So \(\frac{9\div3}{15\div3}=\frac{3}{5}\).

Answer:

\(\frac{3}{5}\)