Question

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

Answer 1

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.

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

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

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

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

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

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