Question

Use the diagram below to match the ratios below. B a A b sin B COS B tan B tan A COS A sin A​

Answer 1

Answer:

See explanation

Step-by-step explanation:

Given

The attached triangle

Required

Complete the ratios

(a) sin B

$\sin(B)$ is calculated as:

$\sin(B) = \frac{Opposite}{Hypotenuse}$

$\sin(B) = \frac{b}{c}$

(b) cos B

$\cos(B)$ is calculated as:

$\cos(B) = \frac{Adjacent}{Hypotenuse}$

$\cos(B) = \frac{a}{c}$

(c) tan B

$\tan(B)$ is calculated as:

$\tan(B) = \frac{Opposite}{Adjacent}$

$\tan(B) = \frac{b}{a}$

(d) tan A

$\tan(A)$ is calculated as:

$\tan(A)= \frac{Opposite}{Adjacent}$

$\tan(A) = \frac{a}{b}$

(e) cos A

$\cos(A)$ is calculated as:

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

$\cos(A) = \frac{b}{c}$

(f) sin A

$\ain(B)$ is calculated as:

$\sin(B) = \frac{Opposite}{Adjacent}$

$\sin(B) = \frac{a}{c}$