$\"\"$

\

Observe the figure:

\

The sides of the triangle are $\"\"$ and $\"\"$ .

\

Consider $\"\"$ and $\"\"$ .

\

Find $\"\"$ .

\

$\"\"$ (Pythagorean theorem)

\

$\"\"$ (Substitute $\"\"$ and $\"\"$ )

\

$\"\"$ (Evaluate powers $\"\"$ and $\"\"$ )

\

$\"\"$ (Addition: $\"\"$ )

\

$\"\"$ (Take the square root of each side)

\

$\"\"$ (Cancel square and root)

\

$\"\"$ (Substitute: $\"\"$ )

\

Length can not be measure in negative values.

\

Therefore, the missing measures $\"\"$ .

\

$\"\"$

\

Find the trigonometric ratios for angle $\"\"$ :

\

Formulas for angles of sine, cosine and tangent:

\

$\"\"$ , $\"\"$ and $\"\"$ .

\

$\"\"$ (Substitute $\"\"$ and $\"\"$ )

\

$\"\"$ (Substitute $\"\"$ and $\"\"$ )

\

$\"\"$ (Substitute $\"\"$ and $\"\"$ )

\

$\"\"$ , $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$ , $\"\"$ and $\"\"$ .