Unit Test — Unit test Answers

25 verified answers
21
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What is the exact value of ?

Question illustration
A
–1
B
Negative StartRoot 2 EndRoot
Option B
C
1
D
StartRoot 2 EndRoot
Option D
22
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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?

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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.
Option A
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.
Option B
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.
Option C
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.
Option D
23

If , which equation represents ?

Question illustration
A
cotangent theta = StartFraction StartRoot 15 EndRoot Over 8 EndFraction
Option A
B
cotangent theta = StartFraction StartRoot 15 EndRoot Over 7 EndFraction
Option B
C
cotangent theta = StartFraction 7 StartRoot 15 EndRoot Over 15 EndFraction
Option C
D
cotangent theta = StartFraction 8 StartRoot 15 EndRoot Over 15 EndFraction
Option D
24

What is the range of ?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D

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