91Ó°ÊÓ

Find the equation of the line in the \(x y\) -plane that contains the point (3,2) and makes an angle of \(41^{\circ}\) with the positive \(x\) -axis.

For \(\theta=4\) radians, evaluate each of the following: (a) \(\sin ^{2} \theta\) (b) \(\sin \left(\theta^{2}\right)\)

Give exact values for the quantities. Do not use a calculator for any of these exercises-otherwise you will likely get decimal approximations for some solutions rather than exact answers. More importantly, good understanding will come from working these exercises by hand. (a) \(\cos \frac{11 \pi}{4}\) (b) \(\sin \frac{11 \pi}{4}\)

In Exercises 1-8, convert each angle to radians. $$ -45^{\circ} $$

Find all numbers \(t\) such that \(\left(t,-\frac{2}{5}\right)\) is a point on the unit circle.

Give exact values for the quantities. Do not use a calculator for any of these exercises-otherwise you will likely get decimal approximations for some solutions rather than exact answers. More importantly, good understanding will come from working these exercises by hand. (a) \(\cos \frac{15 \pi}{4}\) (b) \(\sin \frac{15 \pi}{4}\)

Find all numbers \(t\) such that \(\left(t,-\frac{3}{7}\right)\) is a point on the unit circle.

Find the equation of the line in the \(x y\) -plane that contains the point (2,5) and makes an angle of \(73^{\circ}\) with the positive \(x\) -axis.

In Exercises 1-8, convert each angle to radians. $$ -60^{\circ} $$

In Exercises 1-8, convert each angle to radians. $$ 270^{\circ} $$