91Ó°ÊÓ

Find the remaining sides of a \(45^{\circ}-45^{\circ}-90^{\circ}\) triangle if the longest side is 12 .

Use the diagram in Figure 22 to help find the supplement of each of the following angles. \(150^{\circ}\)

Show that each of the following statements is an identity by transforming the left side of each one into the right side. $$ \cos \theta \tan \theta=\sin \theta $$

Find the remaining trigonometric functions of \(\theta\) if \(\sec \theta=13 / 5\) and \(\sin \theta<0\)

Recall from algebra that the slope of the line through \(\left(x_{1}, y_{1}\right)\) and \(\left(x_{2}, y_{2}\right)\) is $$ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} $$ It is the change in the \(y\)-coordinates divided by the change in the \(x\)-coordinates. The line \(y=3 x\) passes through the points \((0,0)\) and \((1,3)\). Find its slope.

Find the remaining trigonometric functions of \(\theta\) if \(\csc \theta=13 / 5\) and \(\cos \theta<0\)

Use the diagram in Figure 22 to help find the supplement of each of the following angles. \(45^{\circ}\)

Show that each of the following statements is an identity by transforming the left side of each one into the right side. \(\sin \theta \cot \theta=\cos \theta\)

Suppose the angle formed by the line \(y=3 x\) and the positive \(x\)-axis is \(\theta\). Find the tangent of \(\theta\) (Figure 1).

Find the remaining trigonometric functions of \(\theta\) if \(\cot \theta=1 / 2\) and \(\cos \theta>0\)