Question

practice with trigonometric ratios sp 26
true or false.
$sin(b) = \frac{12}{37}$
true
false

Explanation:

Step1: Recall sine definition

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

Step2: Identify sides for $\angle B$

Opposite side to $\angle B$ is $AC = 35$, hypotenuse $AB = 37$

Step3: Calculate $\sin(B)$

$\sin(B) = \frac{35}{37}$

Step4: Compare to given value

Given $\sin(B) = \frac{12}{37}$, which does not match $\frac{35}{37}$

Answer:

False