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

See explanation

Explanation:

Given

The attached triangle

Required

Complete the ratios

(a) sin B

`\sin(B)` is calculated as:

`\sin(B) = (Opposite)/(Hypotenuse)`

`\sin(B) = (b)/(c)`

(b) cos B

`\cos(B)` is calculated as:

`\cos(B) = (Adjacent)/(Hypotenuse)`

`\cos(B) = (a)/(c)`

(c) tan B

`\tan(B)` is calculated as:

`\tan(B) = (Opposite)/(Adjacent)`

`\tan(B) = (b)/(a)`

(d) tan A

`\tan(A)` is calculated as:

`\tan(A)= (Opposite)/(Adjacent)`

`\tan(A) = (a)/(b)`

(e) cos A

`\cos(A)` is calculated as:

`\cos(A) = (Adjacent)/(Hypotenuse)`

`\cos(A) = (b)/(c)`

(f) sin A

`\ain(B)` is calculated as:

`\sin(B) = (Opposite)/(Adjacent)`

`\sin(B) = (a)/(c)`