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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. ____…

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?

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

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

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

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

2cos5xsin3x
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
2

c.
d. −1

____ 10.a.

____ 11.
____ 12.
. What is the second step equal to?

tan(44° + 16°)
tan(44° − 16°)

 
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mathematics 90 .

 

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