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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​

Use the diagram below to match the ratios below. B a A b sin B COS B tan B tan A COS-example-1

1 Answer

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Answer:

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)

User Mikael Eliasson
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