Pre-Calculus
Name ___________________ period ____
1. A 12 foot ladder is leaning against the wall. The base of the ladder is 4 feet from the wall. What is
the angle in degrees that the ladder makes with the ground?
Using a calculator, find the following values in degrees and radians using the restricted domain.
2. arctan (8.123)
3. sin-1 (-.4281)
4. arccos (0.847)
5. tan-1 (-2.004)
Degrees:
Degrees:
Degrees:
Degrees:
Radians:
Radians:
Radians:
Radians:
Without using a calculator, find the following values in degrees and radians using the restricted domain.
√2
)
2
1
7. tan-1 (√3)
8. arcsin (2)
Degrees:
Degrees:
Degrees:
Degrees:
Radians:
Radians:
Radians:
Radians:
6. arccos (-
9. sin-1 (-1)
10. What are the domain and range for the following in restricted domain?
y = arcsin (x)
domain ____________
range ______________
y = arccos (x)
domain ____________
range ______________
Determine the amplitude, period, domain and range for each function.
11. y = 3 sin
2
x
3
1
3
1
2
1
2
12. Y = -4 cos 5x
13. y = sin (x + )
Amplitude: __________
Amplitude: __________
Amplitude: ___________
Period: ______
Period: ______
Period: ___________
Domain: ____________
Domain: ____________
Domain: ______________
Range: _____________
Range: _____________
Range: _______________
Give the amplitude and period of each function graphed below. Then write an equation of each graph.
14.
15.
Amplitude: ______________
Amplitude: ______________
Period: ________
Period: ________
Equation: ________________
Equation: ________________
16. Find an equation for a sine function that has amplitude of 4 and a period of .
17. Find an equation for a cosine function that has an amplitude of
3
5
and a period of
3
.
2