Trigonometry test
life15juicy
ch_14_test.pdf
Name _______________________________________ Date ___________________ Class __________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
1 Holt Algebra 2
Chapter Test Form B
Select the best answer. 1. What is the period of the function shown
below?
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2. Using f (x) = sinx as a guide, find g(x) such that the amplitude is doubled and the period is halved.
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3. The speed of radio waves can be approximated to be 299,790,000 meters per second. The wavelength of a particular radio station’s signal is 3.03 meters. What is the frequency, in millions of Hertz (megahertz), of this radio station? Round your answer to the nearest tenth of a megahertz.
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4. Find an expression to represent all the x-intercepts of the function
( ) sin . 4
g x x π
= +
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5. Find the smallest positive asymptote of the function y = tan 2x.
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6. What is the period of 1
( ) sec 2
g x xπ= ?
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7. Using y = tanx as a guide, find the equation of the graph below.
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8. A construction worker has placed bricks on a plank of wood and is trying to carry the plank up a ladder. The coefficient of friction, µ, between the brick and the wood 0.60. Using the equation mg sinφ = µmg cosφ, what is the angle φ at which the brick begins to slide off the wooden plank? Round your answer to the nearest tenth of a degree.
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9. Simplify θ θ 1
csc tan .
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10. From the Pythagorean Identity, what is the sum cot2δ + 1?
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CHAPTER
14
Name _______________________________________ Date ___________________ Class __________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
2 Holt Algebra 2
Chapter Test Form B continued
11. What is the value of x if ( )° + =tan 150 3x ?
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12. Find the coordinates, to the nearest hundredth, of point A after a 70° rotation about the origin.
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13. Find the exact value of the expression
π
−
sin 6
.
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14. Find cos(A + B) if ( ) = 5sin 13
A with
90° < A < 180° and ( ) = 5cos 13
B with
270° < B < 360°.
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15. An outfielder throws a baseball toward home plate. The horizontal distance traveled by the ball is given by the function d = 68sinθ cosθ. Rewrite the function in terms of the double angle 2θ.
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16. Find φ
sin 2
if φ = − 12
sin 13
and
270° < φ < 360°.
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17. Use a half-angle identity to find the
exact value of π
cos 12
.
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18. At the end of each week for 10 weeks, Ms. Passo gives Auburn his grade in her class. His grade fluctuates according to the function
( ) π= +10 sin 80 8
g w w where w is the
week number. After which week does Auburn have a grade of 90?
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19. Solve sin2θ − 4 = −3sinθ for the domain 0 ≤ θ < 2π.
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CHAPTER
14
