π π π - OpenStudy

Graded Assignment
MTH403B: Pre-Calculus/Trigonometry | Unit 1 | 1.4 Test Part 2
1. Explain the relationship(s) among angle measure in degrees, angle measure in radians, and
arc length.
Score
Answer:
s=rθ
s=arc length, r=radius of arc, θ= theta
2pi radians = 360 degrees
pi radians = 180 degrees
to convert---- radians to degrees: multiply by 180/pi
to convert---- degrees to radians you multiply by the reciprocal pi/180.
(15 points)
2. Find the exact value of each of the following. In each case, show your work and explain the
steps you take to find the value.
Score
17
6
17 x pi/ 6
17 x 0.52....
8.84.....
sin 8.84.... = -0.5
a. sin
b. tan
13
4
13 x pi/46
1 3x 0.78....
10.21.....
tan 10.21.... = 1 or 0.9
c.
sec
11
3
11 x pi/ 3
11 x 1.04....
11.51.....
sin 11.51.... = -0.86
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Graded Assignment
MTH403B: Pre-Calculus/Trigonometry | Unit 1 | 1.4 Test Part 2
Answer:
(10 points)
3. Consider the right triangle ABC given below: (5 points each)
Score
a. Find the length of side b to two decimal places.
b. Find the length of side a to two decimal places in three different
ways.
Answer:
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Copying or distributing without K12’s written consent is prohibited.
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Graded Assignment
MTH403B: Pre-Calculus/Trigonometry | Unit 1 | 1.4 Test Part 2
(15 points)
4. Consider the right triangle ABC given below:
Score
a. What is the length of the hypotenuse of
triangle ABC?
b. What is the length of the shorter leg of triangle ABC?
c.
What is the length of the longer leg of triangle ABC?
Answer:
Your Score
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Copying or distributing without K12’s written consent is prohibited.
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