Nebraska High Formulas and Trigonometric Tables Assignment
Mathematics
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°)
