Right Triangle Trigonometry — Unit test Answers

Use the unit circle to find the value of .a.undefinedc.b.d.

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (6,-5) lies on its terminal side.a.c.b.d.

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (12, 5) lies on its terminal side.a.sin a = , cos a = , tan a = csc a = , sec a = , cot a = c.sin a = , cos a = , tan a = csc a = , sec a = , cot a = b.sin a = , cos a = , tan a = csc a = , sec a = , cot a = d.sin a = , cos a = , tan a = csc a = , sec a = , cot a =

An angle measuring (870n)° is in standard position. For which value of n will the terminal side fall on the y-axis?

A circle has a central angle measuring radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for .

Which values for have the same reference angles?

What is the approximate length of arc s on the circle below? Use 3.14 for . Round your answer to the nearest tenth.

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.

Which of the following represents the measures of all angles coterminal with a –220° angle?

For which value of is cot () undefined?

Earth revolves on its axis once every 24 hours. Which statements are true? Check all that apply.The angular velocity of Earth is π/12 radians per hour. The angular velocity of Earth is π/12 radians per day. The angular velocity of Earth is 2π radians per hour.The angular velocity of Earth is 2π radians per day. The angular velocity of Earth is 12π radians per day.

Angle B has a measure between 0° and 360° and is coterminal with a –865° angle. What is the measure of angle B?

The time it takes a spinner to stop completely is 12 seconds. If the spinner completes 6 revolutions in this time, what was the average angular velocity of the spinner, in radians per second, for the 12-second interval?