What is the amplitude and period of
Amplitude 7
Period 12π
Write an equation for a cosine wave with a phase shift of -3 and a period of 3π/2 .
y=cos(4/3(x+3))
Find the phase shift, period, amplitude, and vertical shift of
phase shift -3π/10
period π/5
amplitude 5
vertical shift 3
Find all solutions to
between 0o and 720o, round your answers to the nearest hundredth.
o
45.58
1
o
34.42
4
o
05.58
4
o
94.42
Find the general solution to
in radians. (No Calculator)
π/3+2πn
-π/3+2πn
The function f(x) = cos-1(x) is defined for what angles?
0≤x≤π
Identify the functions that are graphed below.
-1
y=sec(x) y = sin (x)
What is the maximum and minimum of
Maximum 11
Minimum 1
Calculate the following without a calculator
Calculate the following without a calculator
π/3
Calculate the following without a calculator
5π/6
Calculate the following with a calculator
-0.0524
Graph
Solve 6 sin (5x) + 3 = 4
Find the general solution in radians
0.0335 + 2πn/5
0.5948 + 2πn/5
Find an equation for the following
situation. In one city in the southern
hemisphere, the lowest average temperature
is in April when it is 42o. The highest
average temperature occurs in October and
is 82o. Find an equation for a cosine wave
that matches the situation.
y = 20 cos (π/6(x - 10))+62
Between what two times is the
average temperature first above
o
78 ?
8.771 and 11.229 months
Simplify the following
(cot x)(sec x)(sin x) - (sin x)(tan x)(cos x)
cos2 x
Calculate cos(465O)
without a calculator
Calculate sin(-5π/12)
without a calculator
Given that sin x = 5/8 and that π/2 < x < π
find the following ratios without a calculator
cos x
sin -x
cos 2x
√39/8
-5/8
11/64