Second Derivatives Of Trigonometric Functions worksheets
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What is the period of
y=2\sec\left(\frac{1}{2}x\right)-1 ?2\pi
\pi
4\pi
3\pi
Which function is graphed here?
y=\csc\left(x\right)+2
y=2\csc\left(x\right)+2
y=2\sec\left(x\right)+2
y=\sec\left(x\right)+2
What is the period of
y=\cot\left(2x\right)-12\pi
\pi
\frac{\pi}{2}
\frac{\pi}{4}
What is the period of this function?
\frac{\pi}{2}
\pi
2\pi
What function is graphed here?
y=\csc\left(x\right)-2
y=\csc\left(x\right)
y=\sec\left(x\right)-2
y=\sec\left(x\right)
What's the range of y=\csc x ?
\left(-\infty,\infty\right)
\left(-\infty,-1\right]\cup\left[1,\infty\right)
\left(-\infty,-1\right)\cup\left(1,\infty\right)
\left[-1,1\right]
Which function below describes only the following transformations?
Left π/2
Period: π
y=\csc2(x+\frac{π}{2})
y=2\sec(x+\frac{π}{2})
y=\tan\frac{π}{2}(x+2)
y=2-\csc(x+\frac{π}{2})
csc x
sec x
What is the period of the function y=8\csc\left(4x-\frac{\pi}{4}\right)-3 ?
\frac{\pi}{4}
\frac{\pi}{2}
4\pi
8\pi
What is the amplitude of the function y=-9\sin\left(2x+\frac{3\pi}{2}\right)+5 ?
What is the domain of the function y=-7\cos\left(3x+\frac{2\pi}{3}\right)-2 ?
\left[-9,5\right]
\left(-\infty,\infty\right)
\left(-\infty,-7\right]\cup\left[7,\infty\right)
x\ne\frac{n\pi}{6}\ ,\ n\in Z
A sine function has a period of 4\pi . Which of the following could be its equation?
f\left(x\right)=5\sin\left(\frac{1}{2}x+3\right)+2
f\left(x\right)=5\sin\left(2x+3\right)+2
f\left(x\right)=2\sin\left(\frac{1}{4}x+1\right)+5
f\left(x\right)=4\pi\sin\left(2x+1\right)-7
What is the frequency of a function with period 2?
\pi
2\pi
1
2
Which of the following functions has the following properties?
1) Amplitude = 3
2) Period = \frac{\pi}{2}
3) Phase shift = \frac{\pi}{6} to the right
4) Vertical shift = 9 down
3\sin\left(2x-\frac{\pi}{3}\right)+9
-3\sin\left(4x-\frac{\pi}{6}\right)-9
f\left(x\right)=3\sin\left(4x-\frac{2\pi}{3}\right)-9
-3\sin\left(4x+\frac{\pi}{6}\right)-9
Which of the following could be the equation of the given graph?
f(x)=3sin 2x - 1
f(x)=3sin 2x - 1
f(x)=2sin 3x + 1
f(x)=3sin 2x + 1
Which of the following could be the equation of the given function?
f\left(x\right)=-2\sin\left(x-\frac{\pi}{6}\right)
f\left(x\right)=2\sin\left(x-\frac{\pi}{6}\right)
f\left(x\right)=-2\sin\left(x+\frac{\pi}{6}\right)
f\left(x\right)=2\sin\left(x+\frac{\pi}{6}\right)
Determine the period of the given graph.
3\pi
6\pi
3
6
What is the period of the function with equation
f\left(x\right)=7\cos\left(\frac{\pi}{2}x+1\right)-2 ?
What is the equation of graph?
y = sin 6x
y = cos 6x
y = 6 sin x
y = 6 cos x
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