Nebraska High Formulas and Trigonometric Tables Assignment

please check attachment for full test

The Summary of Formulas and Trigonometric Tables from the Appendix is included for your use during the test.

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____ 1.
a.

What is the phase shift of y = cos (x + )? to the right

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b.

c.

d.

to the left

to the left

to the right

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____ 2.

____ 3.

____ 4.

Between what values of x is cos x a increasing function?

  1. Betweenx=(2n–1) and1n ,wherenisanyinteger.
  2. Between x = 2n page1image1768672and 2n, where n is any integer.
  3. Betweenx=(2n and2n–1 ),wherenisanyinteger.
  4. Betweenx=(2n–1) and2n ,wherenisanyinteger.

Find the inverse of h = {(5,1), (4, 8), (3, 7), (9, 3)}.

  1. {(5,1), (4, 8), (3, 7), (9, 3)}
  2. {(1, 5), (8, 4), (7, 3), (3, 9)}
  3. {(5, 4), (3, 9), (8, 7), (1, 3)}
  4. {(4, 5), (3, 8), (1, 9), (3, 3)}

Express the algebraic sum of sin 4x − sin x as a product.

  1. 2cos5xsin3x
  2. 2cos4xsin2x

c.

d.

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____ 5.

____ 6.

____ 7.

____ 8.

Evaluate sin 54° cos 9° – cos 54° sin 9°. What is the value? a.
b.

c. 0.8910 d. 0.4540

Express the following product as an algebraic sum: cos28°cos34° a. 2[cos62° + cos6°]

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b.
c.
d. cos62° + cos6°

[cos31° + cos12°] [cos62° + cos6°]

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Findthesolutionsetof0≤x<2 intheinterval1−cosx=sinx. a. { ,2 }

b.

c. {0,2 } d. 0

Give the size and direction of the phase shift of the second equation relative to the first equation. y = 3 sin4x; y=3sin(4x–2 )

a.

b.

c.

d.

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{0, }

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to the left

to the right

to the left

to the right

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____ 9.

Find the amplitude of the equation: page2image1790848.

  1. 1
  2. 2

c.

d. −1

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____ 10.
a.

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____ 11.

____ 12.

. What is the second step equal to?

  1. tan(44° + 16°)
  2. tan(44° − 16°)
 

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