Evaluating the Six Trigonometric Functions — Unit test Answers
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Which of the following best explains the value of on the unit circle below?
A
The length opposite the angle is the vertical distance from the x-axis on the graph.
B
The length adjacent to the angle is the vertical distance from the x-axis on the graph.
C
The length opposite the angle is the horizontal distance from the y-axis on the graph.
D
The length adjacent to the angle is the horizontal distance from the y-axis on the graph.
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What is 270° converted to radians?
A
StartFraction pi Over 6 EndFraction
B
StartFraction 3 Over 2 EndFraction
C
StartFraction 3 pi Over 2 EndFraction
D
323
Consider the relationship below, given .Which of the following best explains how this relationship and the value of sin can be used to find the other trigonometric values?
A
The values of sin and cos represent the legs of a right triangle with a hypotenuse of 1; therefore, solving for cos finds the unknown leg, and then all other trigonometric values can be found.
B
The values of sin and cos represent the angles of a right triangle; therefore, solving the relationship will find all three angles of the triangle, and then all trigonometric values can be found.
C
The values of sin and cos represent the angles of a right triangle; therefore, other pairs of trigonometric ratios will have the same sum, 1, which can then be used to find all other values.
D
The values of sin and cos represent the legs of a right triangle with a hypotenuse of –1, since is in Quadrant II; therefore, solving for cos finds the unknown leg, and then all other trigonometric values can be found.
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