4d Example 2 (Evaluating trig functions with the same reference angle)

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Mathematics
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the sine of π/3 based on the unit circle?
1/2
sqrt(3)/2
-sqrt(3)/2
sqrt(2)/2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the angle 4π/3 relate to the unit circle?
It is not a reflection.
It is a reflection about the origin.
It is a reflection about the y-axis.
It is a reflection about the x-axis.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the reference angle for 4π/3?
π/4
π/2
π/3
π/6
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the cosine of 5π/6?
-sqrt(3)/2
1/2
-1/2
sqrt(3)/2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the reference angle help in evaluating trigonometric functions?
It helps identify the quadrant of the angle.
It determines the exact value of the function.
It is not useful in trigonometry.
It simplifies the calculation by using known values from the first quadrant.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the tangent of π/4?
sqrt(2)/2
1
-1
0
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the tangent of -π/4 negative?
Because it is in the fourth quadrant.
Because it is in the third quadrant.
Because it is in the second quadrant.
Because it is in the first quadrant.
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