Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
50001	Rationalize the Denominator	(5 square root of 3-2)/( square root of 3-1)	$\frac{5 \sqrt{3} - 2}{\sqrt{3} - 1}$
50002	Solve over the Interval	sec((3theta)/2)=-2 , [0,2pi)	$\sec (\frac{3 θ}{2}) = - 2$ , $[0, 2 π)$
50003	Solve over the Interval	sin(x+pi/3)+sin(x-pi/3)=( square root of 3)/2 , [0,2pi)	$\sin (x + \frac{π}{3}) + \sin (x - \frac{π}{3}) = \frac{\sqrt{3}}{2}$ , $[0, 2 π)$
50004	Solve over the Interval	sin(x+pi/4)+sin(x-pi/4)=1 , [0,2pi)	$\sin (x + \frac{π}{4}) + \sin (x - \frac{π}{4}) = 1$ , $[0, 2 π)$
50005	Solve over the Interval	2cos(x)^2-sin(x)-1=0 , [0,2pi)	$2 \cos^{2} (x) - \sin (x) - 1 = 0$ , $[0, 2 π)$
50006	Solve over the Interval	square root of 3sec(theta)+2=0 , [0,2pi)	$\sqrt{3} \sec (θ) + 2 = 0$ , $[0, 2 π)$
50007	Solve over the Interval	3sec(x)^2-4=0[0,2pi)	$3 \sec^{2} (x) - 4 = 0 [0, 2 π)$
50008	Solve over the Interval	4sin(x)^2-3=0 , [0,2pi)	$4 \sin^{2} (x) - 3 = 0$ , $[0, 2 π)$
50009	Solve over the Interval	cos(2theta)=( square root of 3)/2 , [0,2pi)	$\cos (2 θ) = \frac{\sqrt{3}}{2}$ , $[0, 2 π)$
50010	Solve over the Interval	sin(x+pi/4)+sin(x-pi/4)=-1 , [0,2pi)	$\sin (x + \frac{π}{4}) + \sin (x - \frac{π}{4}) = - 1$ , $[0, 2 π)$
50011	Solve over the Interval	square root of 3csc(theta)-2=0 , [0,2pi)	$\sqrt{3} \csc (θ) - 2 = 0$ , $[0, 2 π)$
50012	Solve over the Interval	cos(theta)-4=-3 , [0,2pi)	$\cos (θ) - 4 = - 3$ , $[0, 2 π)$
50013	Solve over the Interval	cos(theta)-4=-3[0,2pi)	$\cos (θ) - 4 = - 3 [0, 2 π)$
50014	Solve over the Interval	csc(x)^2=3csc(x)+2[0,2pi)	$\csc^{2} (x) = 3 \csc (x) + 2 [0, 2 π)$
50015	Identify the Zeros and Their Multiplicities	f(x)=(x-1)(x- square root of 7i)(x+ square root of 7i)	$f (x) = (x - 1) (x - \sqrt{7 i}) (x + \sqrt{7 i})$
50016	Solve the Triangle	theta=240 degrees	$θ = 240 °$
50017	Solve the Triangle	theta=(4pi)/3	$θ = \frac{4 π}{3}$
50018	Solve the Triangle	a=2 , b=3 , c=4	$a = 2$ , $b = 3$ , $c = 4$
50019	Solve the Triangle	a=3 , b=4 , c=5	$a = 3$ , $b = 4$ , $c = 5$
50020	Solve the Triangle	A=30 degrees , a=13 , b=26	$A = 30 °$ , $a = 13$ , $b = 26$
50021	Find the Vertex	y^2=-9/8x	$y^{2} = - \frac{9}{8} x$
50022	Find the Vertex	(x^2)/16+(y^2)/36=1	$\frac{x^{2}}{16} + \frac{y^{2}}{36} = 1$
50023	Solve the Triangle	a=9 , b=7 , A=60	$a = 9$ , $b = 7$ , $A = 60$
50024	Solve the Triangle	A=60 degrees b=9 a=16	$A = 60 °$ $b = 9$ $a = 16$
50025	Find the x and y Intercepts	f(x)=2x^2+3x-4	$f (x) = 2 x^{2} + 3 x - 4$
50026	Find the x and y Intercepts	f(x)=cos(x)	$f (x) = \cos (x)$
50027	Find the x and y Intercepts	f(x)=-10^(x-1)-10	$f (x) = - 10^{x - 1} - 10$
50028	Find the x and y Intercepts	f(x)=-4cos(x-pi/2)	$f (x) = - 4 \cos (x - \frac{π}{2})$
50029	Find the x and y Intercepts	f(x)=4sin(2x-pi)-1	$f (x) = 4 \sin (2 x - π) - 1$
50030	Find the x and y Intercepts	f(x)=8cos(x)^2-4	$f (x) = 8 \cos^{2} (x) - 4$
50031	Find the x and y Intercepts	f(x)=5cos(3x)-5	$f (x) = 5 \cos (3 x) - 5$
50032	Find the x and y Intercepts	f(x)=6sin(x)	$f (x) = 6 \sin (x)$
50033	Find the x and y Intercepts	j(x)=10(2)^x	$j (x) = 10 {(2)}^{x}$
50034	Find the x and y Intercepts	g(x)=3cos(2x)+1	$g (x) = 3 \cos (2 x) + 1$
50035	Find the x and y Intercepts	(3x-12)/(9-x)	$\frac{3 x - 12}{9 - x}$
50036	Find the x and y Intercepts	(x,( square root of 110)/11)	$(x, \frac{\sqrt{110}}{11})$
50037	Find the Equation of the Circle	theta=-(3pi)/4	$θ = - \frac{3 π}{4}$
50038	Find the Equation of the Circle	r=10(8,6)	$r = 10 (8, 6)$
50039	Find the Equation of the Circle	r=-10cos(theta)	$r = - 10 \cos (θ)$
50040	Find the Axis of Symmetry	y=-3x^2+6x+5	$y = - 3 x^{2} + 6 x + 5$
50041	Find the Equation of the Circle	t=(5pi)/4	$t = \frac{5 π}{4}$
50042	Find Amplitude, Period, and Phase Shift	-2sec(x/2)+3	$- 2 \sec (\frac{x}{2}) + 3$
50043	Find Amplitude, Period, and Phase Shift	-2sin(pi/2x-3)+5	$- 2 \sin (\frac{π}{2} x - 3) + 5$
50044	Find Amplitude, Period, and Phase Shift	2sin(-4x)	$2 \sin (- 4 x)$
50045	Find Amplitude, Period, and Phase Shift	2sin(3x)	$2 \sin (3 x)$
50046	Find Amplitude, Period, and Phase Shift	2tan(3x-pi)	$2 \tan (3 x - π)$
50047	Find Amplitude, Period, and Phase Shift	2sin(pix)	$2 \sin (π x)$
50048	Find Amplitude, Period, and Phase Shift	2sin(2x)	$2 \sin (2 x)$
50049	Find Amplitude, Period, and Phase Shift	2cos(x-pi)	$2 \cos (x - π)$
50050	Find Amplitude, Period, and Phase Shift	2cos(theta)	$2 \cos (θ)$
50051	Find Amplitude, Period, and Phase Shift	2cos(1/2x)	$2 \cos (\frac{1}{2} x)$
50052	Find Amplitude, Period, and Phase Shift	2sin(x+pi/2)	$2 \sin (x + \frac{π}{2})$
50053	Find Amplitude, Period, and Phase Shift	-3cos((2pi)/5x)	$- 3 \cos (\frac{2 π}{5} x)$
50054	Find Amplitude, Period, and Phase Shift	-2cos(120pit)	$- 2 \cos (120 π t)$
50055	Find Amplitude, Period, and Phase Shift	2sin(2x+pi)	$2 \sin (2 x + π)$
50056	Find Amplitude, Period, and Phase Shift	3cos(t+pi/6)	$3 \cos (t + \frac{π}{6})$
50057	Find Amplitude, Period, and Phase Shift	3cos(2x)	$3 \cos (2 x)$
50058	Find Amplitude, Period, and Phase Shift	3cos(theta)	$3 \cos (θ)$
50059	Find Amplitude, Period, and Phase Shift	-3cos(x)	$- 3 \cos (x)$
50060	Find Amplitude, Period, and Phase Shift	3sin(2x-pi)	$3 \sin (2 x - π)$
50061	Find Amplitude, Period, and Phase Shift	cos(2x)	$\cos (2 x)$
50062	Find Amplitude, Period, and Phase Shift	cos(3x)	$\cos (3 x)$
50063	Find Amplitude, Period, and Phase Shift	cos(-4pix+3)-7	$\cos (- 4 π x + 3) - 7$
50064	Find Amplitude, Period, and Phase Shift	cos(x-pi)	$\cos (x - π)$
50065	Find Amplitude, Period, and Phase Shift	cos(x+pi/2)	$\cos (x + \frac{π}{2})$
50066	Find Amplitude, Period, and Phase Shift	tan(2x+1)	$\tan (2 x + 1)$
50067	Find Amplitude, Period, and Phase Shift	sin(x+pi/2)	$\sin (x + \frac{π}{2})$
50068	Find Amplitude, Period, and Phase Shift	1/2sec(t+2)-pi	$\frac{1}{2} \sec (t + 2) - π$
50069	Plot	(4,(7pi)/4)	$(4, \frac{7 π}{4})$
50070	Plot	(3,(3pi)/2)	$(3, \frac{3 π}{2})$
50071	Plot	(-2,45 degrees )	$(- 2, 45 °)$
50072	Plot	pi/6	$\frac{π}{6}$
50073	Plot	(2,(2pi)/3)	$(2, \frac{2 π}{3})$
50074	Plot	square root of 3+i	$\sqrt{3} + i$
50075	Plot	6x-21>=-3 14x+11<-17	$6 x - 21 \geq - 3$ $14 x + 11 < - 17$
50076	Plot	r=4sin(2theta)	$r = 4 \sin (2 θ)$
50077	Plot	4 square root of 3-4i	$4 \sqrt{3} - 4 i$
50078	Plot	theta=(5pi)/4	$θ = \frac{5 π}{4}$
50079	Plot	sin(theta)<0 , tan(theta)<0	$\sin (θ) < 0$ , $\tan (θ) < 0$
50080	Find Amplitude, Period, and Phase Shift	-6cos(8x-pi/2)	$- 6 \cos (8 x - \frac{π}{2})$
50081	Find Amplitude, Period, and Phase Shift	8sin(2(x-4))+10	$8 \sin (2 (x - 4)) + 10$
50082	Find Amplitude, Period, and Phase Shift	5tan(2x)	$5 \tan (2 x)$
50083	Find Amplitude, Period, and Phase Shift	-5sin(pitheta)	$- 5 \sin (π θ)$
50084	Find Amplitude, Period, and Phase Shift	5sin(2x)	$5 \sin (2 x)$
50085	Find Amplitude, Period, and Phase Shift	5sin(4x)	$5 \sin (4 x)$
50086	Find Amplitude, Period, and Phase Shift	3sin(theta)	$3 \sin (θ)$
50087	Find Amplitude, Period, and Phase Shift	3sin(4theta)	$3 \sin (4 θ)$
50088	Find Amplitude, Period, and Phase Shift	3cos(6/5t)	$3 \cos (\frac{6}{5} t)$
50089	Find Amplitude, Period, and Phase Shift	-3sin(2x+pi/2)	$- 3 \sin (2 x + \frac{π}{2})$
50090	Find Amplitude, Period, and Phase Shift	3cot(t)	$3 \cot (t)$
50091	Find Amplitude, Period, and Phase Shift	-4sin(5x)	$- 4 \sin (5 x)$
50092	Find Amplitude, Period, and Phase Shift	4cos(pix)	$4 \cos (π x)$
50093	Find Amplitude, Period, and Phase Shift	-4sin(1/3x)	$- 4 \sin (\frac{1}{3} x)$
50094	Find Amplitude, Period, and Phase Shift	5cos(4x)	$5 \cos (4 x)$
50095	Find Amplitude, Period, and Phase Shift	5cos(x)	$5 \cos (x)$
50096	Find Amplitude, Period, and Phase Shift	5sin(pix)	$5 \sin (π x)$
50097	Find the Quadrant	(5,-30 degrees )	$(5, - 30 °)$
50098	Find the Vertices	((x-3)^2)/25+((y+4)^2)/9=1	$\frac{{(x - 3)}^{2}}{25} + \frac{{(y + 4)}^{2}}{9} = 1$
50099	Find the Vertices	(y^2)/16-(x^2)/81=1	$\frac{y^{2}}{16} - \frac{x^{2}}{81} = 1$
50100	Find the Vertices	11x^2-25y^2+22x+250y-889=0	$11 x^{2} - 25 y^{2} + 22 x + 250 y - 889 = 0$