Trigonometric Functions on the Unit Circle Answers

Find cos q if q is an angle in standard position and the point with coordinates (3, –4) lies on the terminal side of the angle.

Use the unit circle to find the value of .

Find the exact values of the six trigonometric functions for angle in standard position if a point with the coordinates (-6, 6) lies on its terminal side.Note: A value such as can be entered as sr3/2.

Find the values of the six trigonometric functions for angle in standard position if a point with the coordinates lies on its terminal side.

Use the unit circle to find the value of .

On a separate sheet of paper, draw a unit circle. Use the drawing to complete the chart below that indicates the sign of the trigonometric functions in each quadrant.In the box below, state the quadrant in which the following conditions are met:a.The sine and tangent functions are both negative in this quadrant.b.The cosine and cotangent functions are both negative in this quadrant.

The distance from around the Earth along a given latitude can be found using the formula , where r is the radius of the Earth and L is the latitude. The radius of Earth is approximately 3960 miles. Describe the distances along the latitudes as you go from at the equator to at the poles.