Trigonometric and Polar Functions
Which equation would have a solution that reflects rotational symmetry around the origin on its graph?
For which values of w does ;
w=
w=
w=
w=
What is the solution to the equation for ?
x = \pi/6, 5\pi/6
x = \pi/8, 7\pi/8
x = \pi/4, 3\pi/4
x = \pi/3, 2\pi/3
If a roller coaster's path over time can be represented by , at which values of x does the roller coaster begin to descend again?
x=-1 and x=3
x=1 and x=3
x=0 and x=2
There is no descent; it continues upwards indefinitely.
Which inequality represents all solutions where cosecant is positive?
If , what are the possible values of ?
, where is an integer
, where is an integer
, where is an integer
, where is an integer
If for , what is the value of ?
2
Undefined

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Which equation represents a basic sine function with a period of ?
y = sin(x)
y = sin(2x)
y = sin(x/2)
y = sin(4x)
Which expression gives all solutions for on the interval ?
where is any integer
where is any integer
where is any integer
where is any integer
What is the general solution to the trigonometric equation ?
x = \pi/n - \sqrt{3}/n, where n is a nonzero integer.
x = \pi/6 + n\pi or x = -\pi/6 + n\pi, where n is an integer.
x = \pi/3 + n(2\pi) or x = -\pi/3 + n(2\pi), where n is an integer.
x = (\pi/6 + n\pi)/2 or x = (11\pi/6 + n\pi)/2, where n is an integer.