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Name:
Math 3C
Mr. Nickels
Graphing Trigonometric Equations Practice Test
1) State the range of the equation y = – 7cos 3x + 5
2) State the range of the equation y = 12 –8sin ½ x
3) Given an amplitude of 2, period of 3 , and cos, write the equation.
4) Given the following arcsin curve, in which interval
will arcsin be a function?
a) -1 &1 b) 0 &


3
c) 0 &  d)
&
2
2
2
5) ) y = 2cos
Amplitude =
Frequency =
Period =
6) If the period is
5
, find the frequency.
4
7) Write the equation of the following graph:
8) Find, to the nearest tenth of a degree,
the angle whose measure is 2.5 radians
Recognize the following graphs:
9)
10)
11)
12)
13)
14)
15) If f(x) = -2sinx + 1 graph f 1 ( x) between 0 & 2π
f(x)
f 1 ( x)
Is f 1 ( x) a function? Why or why not?
16) Graph y = tanx & y = 2cos2x - 1 in the domain 0  x  2
Determine the values of x, to the nearest hundredth satisfy the equation tanx = 2cos2x-1 ?
17) Graph y = sec x and -3csc x in the domain 0  x  2
18) If f(x)= 3sin
1
x & g(x) = cos2x + 1 Graph f-1(x) and g-1(x)
2
How many values of x satisfy the equation f-1(x) = g-1(x)