Question

practice with trigonometric ratios sp 26
true or false
$cos(b)=\frac{35}{37}$
true
false

Explanation:

Step1: Recall cosine definition for angle B

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

Step2: Identify sides for angle B

Adjacent side to $\angle B$ is $BC = 12$, hypotenuse is $AB = 37$.
So $\cos(B) = \frac{12}{37}$

Step3: Compare with given value

The given claim is $\cos(B) = \frac{35}{37}$, which does not match $\frac{12}{37}$.

Answer:

False