Download Convert the angle to degrees, minutes, and seconds.

Trigonometry -- Practice Test Ch. 1 -- Sarah Bannen
Name___________________________________
Each question is worth 1 point. You must show work to get credit.
Final Score________/25
Perform the calculation.
′
′
1) 85°28 - 16°40
Convert the angle to degrees, minutes, and seconds.
2) 255.07°
Convert the angle′ to ′decimal
degrees and round to the nearest hundredth of a degree.
′
3) 168°38 26
Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of
two other angles, one positive and one negative, coterminal with the given angle.
4) 10°
Provide an appropriate response.
5) Find the complement of an angle whose measure is 74°.
Find the angle of smallest possible positive measure coterminal with the given angle.
6) 914°
1
Trigonometry -- Practice Test Ch. 1 -- Sarah Bannen
Solve the problem.
7) Find the measure of the smaller angle formed by the hands of the clock shown.
Find the measure of each angle in the problem.
8)
Classify the triangle as acute, right, or obtuse and classify it as equilateral, isosceles, or scalene.
9)
Use the properties of angle measures to find the measure of each marked angle.
10) Find the measure of the marked angles.
a = (4x + 48)°
b = (2x + 100)°
2
Trigonometry -- Practice Test Ch. 1 -- Sarah Bannen
Find the measure of the third angle of a triangle if the measures of the other two angles are given.
11) 14° and 55°
The triangles are similar. Find the missing side, angle or value of the variable.
12) x and y
Solve the problem. Round answers to the nearest tenth if necessary.
13) A tree casts a shadow 15 m long. At the same time, the shadow cast by a 51-centimeter-tall statue is 60 cm long. Find
the height of the tree.
If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative.
14) III, r
x
Evaluate the expression.
15) cot 270°
3
Trigonometry -- Practice Test Ch. 1 -- Sarah Bannen
16) cos 360° - 4 sin 90°
An equation of the terminal side of an angle θ in standard position is given along with the quadrant of the angle θ. Find the
indicated trigonometric function value of θ. Do not use a calculator.
17) -7x - 5y = 0, x ≤ 0; Find sec θ.
Suppose that θ is in standard position and the given point is on the terminal side of θ. Give the exact value of the indicated trig
function for θ.
18) (6, 8); Find sin θ.
4
Trigonometry -- Practice Test Ch. 1 -- Sarah Bannen
Sketch an angle θ in standard position such that θ has the smallest positive measure and the given point is on the terminal side
of θ.
19) (0, -5)
y
x
Decide whether the statement is possible or impossible for an angle θ.
20) cos θ = 2 and sec θ = 11
11
2
Identify the quadrant for the angle θ satisfying the following conditions.
21) cos θ < 0 and csc θ < 0
Determine the signs of the given trigonometric functions of an angle in standard position with the given measure.
22) csc (580°) and cot (580°)
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Trigonometry -- Practice Test Ch. 1 -- Sarah Bannen
Use the fundamental identities to find the value of the trigonometric function.
23) Find tan θ, given that sin θ = 3 and θ is in quadrant II.
4
24) Find csc θ, given that cot θ = -
15 and θ is in quadrant II.
Use the appropriate identity to find the indicated function value. Rationalize the denominator, if applicable. If the given value
is a decimal, round your answer to three decimal places.
7
25) tan θ, given that cot θ =
6
6