Math 240-Trigonometry 2/29/2016
Name: __________________
Exam I
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
questions.
1.
(10 points) For an angle measuring 140 10′, find the measure of (a) its complement and (b) its
supplements.
a) 75𝑜 50′ , 1650 40′
b) 70𝑜 40′ , 1650 50′
c) 75𝑜 50′ , 1650 50′
d) None of the above
2. (10 points) Find the measure of the smaller angle formed by the hands of a clock at 6:10 AM.
a) 1150
b) 1250
c) 1200 15′
d) No solution
3. (10 points) Find h.
a)
b)
c)
d)
101
120
110
None of the above
4. (10 points) Find the measure of marked angles.
a)
b)
c)
d)
750 , 1200
650 , 1200
750 , 1100
None of the above
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Math 240-Trigonometry 2/29/2016
5. (10 points) Find the exact value of 𝑡𝑎𝑛3600 + 2𝑠𝑖𝑛2700 + 4𝑐𝑜𝑠 2 2100
a) -1
b) 1
c) 2
d) No solution
6. (10 points) Fill in the blank.
a) 1 + 𝑡𝑎𝑛2 𝜃 = ______________
b) 𝑠𝑖𝑛2 𝜃 + _____________ = 1
c)
𝑠𝑖𝑛𝜃
𝑐𝑜𝑠𝜃
= ___________________
d) Cosine and secant are positive in Quadrant#__________
e) If 𝑥 = −8 and 𝑦 = 6, then 𝑟 =______________
7. (10 points) Determine whether each statement is true or false.
a)
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𝑠𝑖𝑛𝜃
= 𝑠𝑖𝑛−1 𝜃
___________?
b) 𝑠𝑖𝑛560 = 𝑐𝑜𝑠340 _________? (Hint: use a calculator)
c) 𝑠𝑖𝑛(600 + 300 ) = 𝑠𝑖𝑛(600 ) + 𝑠𝑖𝑛(300 )__________?
d) tan(−3000 ) = −√3 _______?
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e) If 𝑠𝑖𝑛𝜃 0 = − , then 𝜃 = 3300_______?
SHOW YOUR WORK
8. (10 points) In a right triangle 𝐵 = 300 and side 𝑐 = 10. Find the remaining angle and sides of
the triangle, that is, solve the triangle.
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Math 240-Trigonometry 2/29/2016
9. (10 points) Find all values of 𝜃, if 𝜃 is in the interval [0, 3600 ) and 𝑐𝑜𝑠𝜃 = −
√3
.
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10. (10 points) Find the six trigonometric function values of the angle  in standard position, if the
terminal side of  is defined by −√3𝑥 + 𝑦 = 0, 𝑥 ≤ 0.
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Math 240-Trigonometry 2/29/2016
11. (10 points) Extra Credit
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