Attempt the problems below to help self-assess topics that may need attention. Use paper and pen/pencil. Do NOT use a calculator, graphing tool, or AI to assist you. Many of the topics addressed below can be reviewed in Chapter 9, Chapter 10, and Chapter 11 below. Ask your JumpStart mentor for more guidance as needed. Return to this pretest after you feel you have made sufficient progress.
How is the radian measure of an angle defined? How would you go about drawing an angle of roughly two radians? How big is an angle of \(\pi \approx 3.14159\) radians?
Suppose \(\theta\) is an angle in a right triangle whose opposite side is \(2\) inches long and whose cosecant is \(4\text{.}\) Find the remaining side lengths of the triangle.
Suppose \(\tau\) is an angle in standard position whose terminal ray is in Quadrant IV satisfying \(\tan(\tau) = -4\text{.}\) Find the sine and cosine of \(\tau\text{.}\)
6.Evaluating Trigonometric Functions Using Reference Angles.
Sketch the angle \(\theta = -\frac{13 \pi}{6}\) in standard position, determine its reference angle, and find the sine, cosine, and tangent of \(\theta\) using special triangles.
