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Solnce55 [7]
4 years ago
7

Using the image below, please match the correct trigonometric function with the correct value.

Mathematics
1 answer:
Elina [12.6K]4 years ago
4 0

ANSWER

See explanation

EXPLANATION

The given triangle is a right angle triangle.

We use the mnemonics SOH CAH TOA.

The given angle is

\alpha

The opposite is 8 units, the adjacent is 15 units and the hypotenuse is 17 units.

\sin( \alpha )  =  \frac{opposite}{hypotenuse}  =  \frac{8}{17}

\csc( \alpha )  =  \frac{1}{ \sin( \alpha ) }  =  \frac{17}{8}

\tan( \alpha )  =  \frac{opposite}{adjacent}  =  \frac{8}{11}

\cot( \alpha )  =  \frac{1}{ \tan( \alpha ) }  =  \frac{15}{8}

\cos( \alpha )  =  \frac{adjacent}{hypotenuse}  =  \frac{15}{17}

\sec( \alpha )  =  \frac{1}{ \cos( \alpha ) }  =  \frac{17}{15}

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