Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15101	Find Amplitude, Period, and Phase Shift	y=-2cos(1/2x+pi/2)	$y = - 2 \cos (\frac{1}{2} x + \frac{π}{2})$
15102	Find Amplitude, Period, and Phase Shift	y=2cos(1/3)x	$y = 2 \cos (\frac{1}{3}) x$
15103	Find Amplitude, Period, and Phase Shift	y=2.3sin(3.6t)	$y = 2.3 \sin (3.6 t)$
15104	Find Amplitude, Period, and Phase Shift	y=2.5sin(x/2)	$y = 2.5 \sin (\frac{x}{2})$
15105	Find Amplitude, Period, and Phase Shift	y=2.5sin(x)	$y = 2.5 \sin (x)$
15106	Find Amplitude, Period, and Phase Shift	y=2csc(x-pi/3)	$y = 2 \csc (x - \frac{π}{3})$
15107	Find Amplitude, Period, and Phase Shift	y=2csc(3x)	$y = 2 \csc (3 x)$
15108	Find Amplitude, Period, and Phase Shift	y=2csc(pix-pi/3)	$y = 2 \csc (π x - \frac{π}{3})$
15109	Find Amplitude, Period, and Phase Shift	y=2cot(x+pi/4)	$y = 2 \cot (x + \frac{π}{4})$
15110	Find Amplitude, Period, and Phase Shift	y=2cot(1/3*(pix)-7)	$y = 2 \cot (\frac{1}{3} \cdot (π x) - 7)$
15111	Find Amplitude, Period, and Phase Shift	y=2cot(x/3)	$y = 2 \cot (\frac{x}{3})$
15112	Find Amplitude, Period, and Phase Shift	y=2cos(x/3)	$y = 2 \cos (\frac{x}{3})$
15113	Find Amplitude, Period, and Phase Shift	y=2cos(2pix+8pi)	$y = 2 \cos (2 π x + 8 π)$
15114	Find Amplitude, Period, and Phase Shift	y=2cos(x)-1	$y = 2 \cos (x) - 1$
15115	Find Amplitude, Period, and Phase Shift	y=2cos(x+pi/3)	$y = 2 \cos (x + \frac{π}{3})$
15116	Find Amplitude, Period, and Phase Shift	y=2cos(4x+3pi)+1	$y = 2 \cos (4 x + 3 π) + 1$
15117	Find Amplitude, Period, and Phase Shift	y=2cos(-2x+pi/3)-4	$y = 2 \cos (- 2 x + \frac{π}{3}) - 4$
15118	Find Amplitude, Period, and Phase Shift	y=2sec(2x-pi/2)	$y = 2 \sec (2 x - \frac{π}{2})$
15119	Find Amplitude, Period, and Phase Shift	y=2sin(1/2x-pi/2)	$y = 2 \sin (\frac{1}{2} x - \frac{π}{2})$
15120	Find Amplitude, Period, and Phase Shift	y=2sin(4pix)	$y = 2 \sin (4 π x)$
15121	Find Amplitude, Period, and Phase Shift	y=-2sin(2x)	$y = - 2 \sin (2 x)$
15122	Find Amplitude, Period, and Phase Shift	y=-2sin(-2x)	$y = - 2 \sin (- 2 x)$
15123	Find Amplitude, Period, and Phase Shift	y=2sin(5/3x-1/6)	$y = 2 \sin (\frac{5}{3} x - \frac{1}{6})$
15124	Find Amplitude, Period, and Phase Shift	y=-2sin(2pix+4pi)	$y = - 2 \sin (2 π x + 4 π)$
15125	Find Amplitude, Period, and Phase Shift	y=2sin(pi^2x-pi)	$y = 2 \sin (π^{2} x - π)$
15126	Find Amplitude, Period, and Phase Shift	y=2tan(pi/2x)	$y = 2 \tan (\frac{π}{2} x)$
15127	Find Amplitude, Period, and Phase Shift	y=-2sin(x-pi/4)	$y = - 2 \sin (x - \frac{π}{4})$
15128	Find Amplitude, Period, and Phase Shift	y=2sin(9x+pi)	$y = 2 \sin (9 x + π)$
15129	Find Amplitude, Period, and Phase Shift	y=2sin(pix+3/pi)	$y = 2 \sin (π x + \frac{3}{π})$
15130	Find Amplitude, Period, and Phase Shift	y=-3+5cos((pit)/12)	$y = - 3 + 5 \cos (\frac{π t}{12})$
15131	Find Amplitude, Period, and Phase Shift	f(x)=-sin(4x)	$f (x) = - \sin (4 x)$
15132	Find Amplitude, Period, and Phase Shift	f(x)=cos(pi/2-x)	$f (x) = \cos (\frac{π}{2} - x)$
15133	Find Amplitude, Period, and Phase Shift	f(x)=cos(pi/6x)	$f (x) = \cos (\frac{π}{6} x)$
15134	Find Amplitude, Period, and Phase Shift	f(x)=cos(3x+pi)	$f (x) = \cos (3 x + π)$
15135	Find Amplitude, Period, and Phase Shift	f(x)=7sin(pi/4x)+3	$f (x) = 7 \sin (\frac{π}{4} x) + 3$
15136	Find Amplitude, Period, and Phase Shift	f(x)=csc(4x)	$f (x) = \csc (4 x)$
15137	Find Amplitude, Period, and Phase Shift	f(x)=6sin(1/5*(pix)+pi)-4	$f (x) = 6 \sin (\frac{1}{5} \cdot (π x) + π) - 4$
15138	Find Amplitude, Period, and Phase Shift	f(x)=5sin(3(x-2))+7	$f (x) = 5 \sin (3 (x - 2)) + 7$
15139	Find Amplitude, Period, and Phase Shift	f(x)=5sin(86pix)	$f (x) = 5 \sin (86 π x)$
15140	Find Amplitude, Period, and Phase Shift	f(x)=5sin((2x)/5)	$f (x) = 5 \sin (\frac{2 x}{5})$
15141	Find Amplitude, Period, and Phase Shift	f(x)=5sin(pi/2*(x-1))-2	$f (x) = 5 \sin (\frac{π}{2} \cdot (x - 1)) - 2$
15142	Find Amplitude, Period, and Phase Shift	f(x)=5cos(pi/3x+pi)+2	$f (x) = 5 \cos (\frac{π}{3} x + π) + 2$
15143	Find Amplitude, Period, and Phase Shift	f(x)=6cos(x)	$f (x) = 6 \cos (x)$
15144	Find Amplitude, Period, and Phase Shift	f(x)=7csc(1/3(pix)+1/6pi)	$f (x) = 7 \csc (\frac{1}{3} \cdot (π x) + \frac{1}{6} \cdot π)$
15145	Find Amplitude, Period, and Phase Shift	f(x)=5tan(2)*(x-pi/3)	$f (x) = 5 \tan (2) \cdot (x - \frac{π}{3})$
15146	Find Amplitude, Period, and Phase Shift	f(x)=7sin(6x)	$f (x) = 7 \sin (6 x)$
15147	Find Amplitude, Period, and Phase Shift	f(x)=8cos(1/5*(pix)+pi)-4	$f (x) = 8 \cos (\frac{1}{5} \cdot (π x) + π) - 4$
15148	Find Amplitude, Period, and Phase Shift	f(x)=9cos(1/5*(pix)+pi)+3	$f (x) = 9 \cos (\frac{1}{5} \cdot (π x) + π) + 3$
15149	Find Amplitude, Period, and Phase Shift	f(x)=arccos(x)	$f (x) = \arccos (x)$
15150	Find Amplitude, Period, and Phase Shift	f(x)=arccos(x+2)-pi	$f (x) = \arccos (x + 2) - π$
15151	Find Amplitude, Period, and Phase Shift	f(x)=-cos(1/2x)	$f (x) = - \cos (\frac{1}{2} x)$
15152	Find Amplitude, Period, and Phase Shift	g(x)=cos(2x)	$g (x) = \cos (2 x)$
15153	Find Amplitude, Period, and Phase Shift	g(t)=-1/2*cos(2t)	$g (t) = - \frac{1}{2} \cdot \cos (2 t)$
15154	Find Amplitude, Period, and Phase Shift	y=(1/2)sin(x/3-pi)	$y = (\frac{1}{2}) \sin (\frac{x}{3} - π)$
15155	Find Amplitude, Period, and Phase Shift	y=0.3sin(3x+pi/2)	$y = 0.3 \sin (3 x + \frac{π}{2})$
15156	Find Amplitude, Period, and Phase Shift	y=1-2/3*sin(4x)	$y = 1 - \frac{2}{3} \cdot \sin (4 x)$
15157	Find Amplitude, Period, and Phase Shift	y=1+cos(2x+pi/3)	$y = 1 + \cos (2 x + \frac{π}{3})$
15158	Find Amplitude, Period, and Phase Shift	y=1+cos(4x+pi/3)	$y = 1 + \cos (4 x + \frac{π}{3})$
15159	Find Amplitude, Period, and Phase Shift	y=10cos(1/2x)	$y = 10 \cos (\frac{1}{2} x)$
15160	Find Amplitude, Period, and Phase Shift	y=-12cot(1/4x)	$y = - 12 \cot (\frac{1}{4} x)$
15161	Find Amplitude, Period, and Phase Shift	y=-arctan(-x)	$y = - \arctan (- x)$
15162	Find Amplitude, Period, and Phase Shift	y=-0.5sin(x)	$y = - 0.5 \sin (x)$
15163	Find Amplitude, Period, and Phase Shift	y=4/5*cos(x)	$y = \frac{4}{5} \cdot \cos (x)$
15164	Find Amplitude, Period, and Phase Shift	y=-arccos(x)	$y = - \arccos (x)$
15165	Find Amplitude, Period, and Phase Shift	y=1/8*tan(x)	$y = \frac{1}{8} \cdot \tan (x)$
15166	Find Amplitude, Period, and Phase Shift	y=4/3*cos(x/3)	$y = \frac{4}{3} \cdot \cos (\frac{x}{3})$
15167	Find Amplitude, Period, and Phase Shift	y=-2/3*cos(x)	$y = - \frac{2}{3} \cdot \cos (x)$
15168	Find Amplitude, Period, and Phase Shift	y=2/3*cos((x-3)/4)+1	$y = \frac{2}{3} \cdot \cos (\frac{x - 3}{4}) + 1$
15169	Find Amplitude, Period, and Phase Shift	y=3/4*cos(1/2x)	$y = \frac{3}{4} \cdot \cos (\frac{1}{2} x)$
15170	Find Amplitude, Period, and Phase Shift	y=3/4*sin(10x-10pi)-25	$y = \frac{3}{4} \cdot \sin (10 x - 10 π) - 25$
15171	Find Amplitude, Period, and Phase Shift	y=-1/6*cos(1/6x)	$y = - \frac{1}{6} \cdot \cos (\frac{1}{6} x)$
15172	Find Amplitude, Period, and Phase Shift	y=1/5*cos(pi/2x)	$y = \frac{1}{5} \cdot \cos (\frac{π}{2} x)$
15173	Find Amplitude, Period, and Phase Shift	y=-1/6*cos(x)	$y = - \frac{1}{6} \cdot \cos (x)$
15174	Find Amplitude, Period, and Phase Shift	y=-1/7*tan(x)	$y = - \frac{1}{7} \cdot \tan (x)$
15175	Find Amplitude, Period, and Phase Shift	y=1/4*cos(pi/5x)	$y = \frac{1}{4} \cdot \cos (\frac{π}{5} x)$
15176	Find Amplitude, Period, and Phase Shift	y=1/3*sin(8x)	$y = \frac{1}{3} \cdot \sin (8 x)$
15177	Find Amplitude, Period, and Phase Shift	y=1/3*sin(x/5)	$y = \frac{1}{3} \cdot \sin (\frac{x}{5})$
15178	Find Amplitude, Period, and Phase Shift	y=1/3*cos(7x)	$y = \frac{1}{3} \cdot \cos (7 x)$
15179	Find Amplitude, Period, and Phase Shift	f(x)=-tan(4x)	$f (x) = - \tan (4 x)$
15180	Find Amplitude, Period, and Phase Shift	y(t)=6000(cos(pi/45)(t-10))	$y (t) = 6000 (\cos (\frac{π}{45}) (t - 10))$
15181	Find Amplitude, Period, and Phase Shift	y=1/2*cos(6x)	$y = \frac{1}{2} \cdot \cos (6 x)$
15182	Find Amplitude, Period, and Phase Shift	y=-1/2*cos(x)	$y = - \frac{1}{2} \cdot \cos (x)$
15183	Find Amplitude, Period, and Phase Shift	y=1/2*sin(pix-pi/2)	$y = \frac{1}{2} \cdot \sin (π x - \frac{π}{2})$
15184	Find Amplitude, Period, and Phase Shift	y=1/2*cos(x-pi/6)	$y = \frac{1}{2} \cdot \cos (x - \frac{π}{6})$
15185	Expand Using Sum/Difference Formulas	sin((11pi)/14-(11pi)/60)	$\sin (\frac{11 π}{14} - \frac{11 π}{60})$
15186	Expand Using Sum/Difference Formulas	csc((5pi)/12)	$\csc (\frac{5 π}{12})$
15187	Expand Using Sum/Difference Formulas	csc((15pi)/8)	$\csc (\frac{15 π}{8})$
15188	Expand Using Sum/Difference Formulas	sec((13pi)/12)	$\sec (\frac{13 π}{12})$
15189	Expand Using Sum/Difference Formulas	sin(2a)	$\sin (2 a)$
15190	Expand Using Sum/Difference Formulas	cos((3pi)/4-(7pi)/4)	$\cos (\frac{3 π}{4} - \frac{7 π}{4})$
15191	Expand Using Sum/Difference Formulas	sin((2pi)/3+pi/4)	$\sin (\frac{2 π}{3} + \frac{π}{4})$
15192	Expand Using Sum/Difference Formulas	sin(-(7pi)/12)	$\sin (- \frac{7 π}{12})$
15193	Expand Using Sum/Difference Formulas	sin(arcsin(x)+arccos(x))	$\sin (\arcsin (x) + \arccos (x))$
15194	Expand Using Sum/Difference Formulas	tan((23pi)/12)	$\tan (\frac{23 π}{12})$
15195	Find the Reference Angle	-(15pi)/17	$- \frac{15 π}{17}$
15196	Find the Reference Angle	-(17pi)/4	$- \frac{17 π}{4}$
15197	Find the Reference Angle	(13pi)/9	$\frac{13 π}{9}$
15198	Find the Reference Angle	-(7p)/4	$- \frac{7 p}{4}$
15199	Find the Reference Angle	(8p)/3	$\frac{8 p}{3}$
15200	Find the Reference Angle	(11p)/3	$\frac{11 p}{3}$