MATH 150 TEST #1 NAME
Chapters 1 – 4 (Form B2-S) (Print) _______________________
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There are 18 questions in this exam (Max 60 points).
To receive credit, you must show ALL your work on this exam and your work must justify your answer. NO
CREDIT WILL BE GIVEN WHERE NO WORK IS SHOWN.
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Problem # 1 – 6: 2 points each
1) Evaluate: sin2
38° + cos2
38°
2) Convert
17??
12 to degrees.
3) Identify the quadrant (or possible quadrants) an angle ?? that satisfies the given conditions:
sec ?? < 0 , csc ?? > 0
4) Find the reference angle for −298∘
5) Find the value t to four decimal places in the interval �0, ??
2
� if csc ?? = 5.487
6) Convert −16.327∘
to degrees, minutes, and seconds to the nearest second.
Problem # 7 – 12: 3 points each
7) The terminal side of an angle ?? in standard position passes through the point �−2 , √11�.
Find the exact values of sec ??. (No decimal answer allowed.)
Must label the 3 sides of the triangle on the x-y plane to receive credit.
8) Find one solution to the following equation. Assume all angles involved are acute angles.
cot(3?? − 10∘) = tan(5?? + 28∘)
9) Find the area of a sector of a circle having radius ?? = 37.4 ft and central angle ?? = 185∘
.
Answer must include UNITS.
10) Find the linear speed ?? of the tip of the hour hand of a clock if the hand is 9 cm long.
Answer must include UNITS.
11) Find the exact value for tan �− 19??
6 �. (No decimal answer allowed.)
Must show the reference angle on the x-y plane with the correct labelling on all 3 sides of the
reference triangle to receive credit.
12) Find the exact value for cot 11??
2 . (No decimal answer allowed.)
Problem # 13 – 18: 5 points each
13) Assume ?? = 90∘
. Solve right triangle ??????, if ?? = 24.16 ft and ?? = 65.37 ft.
14) Radar stations ?? and ?? are on an east-west line, 9.4 km apart. Station ?? detects a plane at ??, on a
bearing of 47∘
. Station ?? simultaneously detects the same plane, on a bearing of 317∘
. Find the
distance from ?? to ??. Answer must include UNITS.
15) From a window 50.0 ft above the street, the angle of elevation to the top of the building across the street
is 60.0∘
and the angle of depression to the base of this building is 10.0∘
. Find the height of the building
across the street. Answer must include UNITS.
16) Graph ?? = 3sin(2?? + ??) − 1 over a two-period interval. Give the following information.
Label 5 key points in one period based on this question.
Period: _________ Amplitude: _______ Domain: _________ Range: __________
17) Graph ?? = −7 sec �
??
4
� over a one-period interval.
Label vertical asymptotes and 2 key points in the period based on this question.
18) Graph ?? = 2 cot �?? − ??
4
� over a one-period interval.
Label vertical asymptotes and 3 key points in the period based on this question.
