mathematics 90

please check attachment for full test

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

____ 1.
a.

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

b.

c.

d.

to the left

to the left

to the right

____ 2.

____ 3.

____ 4.

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

1. Betweenx=(2n–1) and1n ,wherenisanyinteger.
2. Between x = 2n and 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.

____ 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°]

b.
c.
d. cos62° + cos6°

[cos31° + cos12°] [cos62° + cos6°]

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.

{0, }

to the left

to the right

to the left

to the right

____ 9.

Find the amplitude of the equation: .

1. 1
2. 2

c.

d. −1

____ 10.
a.

____ 11.

____ 12.

. What is the second step equal to?

1. tan(44° + 16°)
2. tan(44° − 16°)

 

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