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Q 1/20
Score 0
What is the exact value of csc60°?
30
22
33
23
323
Q 2/20
Score 0
<P>What is the exact value of <math>\cos\left(\frac{\pi}{6}\right)</math>?</P>
30
<P><math>\frac{\sqrt{2}}{2}</math></P>
<P><math>\frac{\sqrt{3}}{3}</math></P>
<P><math>\frac{2\sqrt{3}}{3}</math></P>
<P><math>\frac{\sqrt{3}}{2}</math></P>
Q 3/20
Score 0
<P>Which equation has no solution?</P>
30
<P><math>\sin\theta=5</math></P>
<P><math>\cos\theta=-\frac{1}{3}</math></P>
<P><math>\sin\theta=-\frac{1}{5}</math></P>
<P><math>\cos\theta=\frac{1}{5}</math></P>
Q 4/20
Score 0
<P>What is the period of the function <math>y=\frac{1}{4}\cos2x</math> ?</P>
30
<P><math>6\pi</math></P>
<P><math>2\pi</math></P>
<P><math>\pi</math></P>
<P><math>4\pi</math></P>
Q 5/20
Score 0
<P>What is the amplitude of the function <math>y=\frac{1}{4}\cos2x</math></P>
30
<P><math>-\frac{1}{4}</math></P>
<P><math>\frac{1}{4}</math></P>
<P><math>-2</math></P>
<P><math>2</math></P>
Q 6/20
Score 0
<P>What is the phase shift of the function <math>y=4\sin3\left(x-\frac{\pi}{3}\right)-\frac{1}{4}</math>?</P>
30
<P><math>\frac{1}{4}</math> to the right</P>
<P><math>\frac{\pi}{3}</math> to the left</P>
<P><math>\frac{\pi}{3}</math> to the right</P>
<P><math>\frac{1}{4}\ </math>to the left</P>
Q 7/20
Score 0
<P>What is the vertical shift of the function <math>y=4\sin3\left(x-\frac{\pi}{3}\right)-\frac{1}{4}</math>?</P>
30
<P><math>\frac{\pi}{3}</math> upwards</P>
<P><math>\frac{1}{4}</math>downwards</P>
<P><math>\frac{\pi}{3}</math> downwards</P>
<P><math>\frac{1}{4}\ </math>upwards</P>
Q 8/20
Score 0
<P>Which is a vertical asymptote on the main interval of the function <math>y=\tan6x</math>?</P>
30
<P><math>\frac{\pi}{8}</math></P>
<P><math>\frac{\pi}{10}</math></P>
<P><math>\frac{\pi}{12}</math></P>
<P><math>\frac{\pi}{6}</math></P>
Q 9/20
Score 0
<P> What is the domain of the function <math>y=4\tan\frac{1}{4}x</math>?</P>
30
<P><math>x\ne\pm4\pi+2\pi n</math></P>
<P><math>x\ne\pm2\pi-4\pi n</math></P>
<P><math>x\ne\pm4\pi-2\pi n</math></P>
<P><math>x\ne\pm2\pi+4\pi n</math></P>
Q 10/20
Score 0
<P>What is the phase shift of the function <math>y=2\ csc\ (x+\pi)-4</math>?</P>
30
<P><math>\pi</math> to the left</P>
<P><math>\pi</math> downwards</P>
<P><math>\pi</math> to the right</P>
<P><math>\pi</math> upwards</P>
Q 11/20
Score 0
<P>Which is the trigonometric function of the given graph?</P>
30
<P><math>y=2csc\frac{1}{4}x</math></P>
<P><math>y=2\tan\frac{1}{4}x</math></P>
<P><math>y=2\cot\frac{1}{4}x</math></P>
<P><math>y=2\sec\frac{1}{4}x</math></P>
Q 12/20
Score 0
<P>What is the exact value of <math>\sin^{-1}\left(-\frac{1}{2}\right)</math>?</P>
30
<P><math>-\frac{\pi}{6}</math></P>
<P><math>\frac{\pi}{6}</math></P>
<P><math>\frac{\pi}{3}</math></P>
<P><math>-\frac{\pi}{3}</math></P>
Q 13/20
Score 0
<P>What is the exact value of <math>\cos^{-1}(\cos\frac{6\pi}{7})</math>?</P>
30
<P><math>\frac{7\pi}{8}</math></P>
<P><math>\frac{8\pi}{9}</math></P>
<P><math>\frac{6\pi}{7}</math></P>
<P><math>\frac{5\pi}{6}</math></P>
Q 14/20
Score 0
<P>What is the exact value of <math>\cot(\cos^{-1}\ \frac{\sqrt{2}}{2})</math>?</P>
30
<P>2</P>
<P>-2</P>
<P>1</P>
<P>-1</P>
Q 15/20
Score 0
<P>What is the principal-value of the trigonometric equation <math>2\sin\left(3x\right)-1=0</math>?</P>
30
<P><math>\frac{\pi}{6}</math></P>
<P><math>\frac{\pi}{18}</math></P>
<P><math>\frac{\pi}{3}</math></P>
<P><math>\frac{\pi}{9}</math></P>
Q 16/20
Score 0
<P>What are the solutions of the trigonometric equation <math>\tan\theta\sin\theta-4\tan\theta=-3\tan\theta</math> in the interval <math>\left[0,\ 2\pi\right]</math>?</P>