Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48901	Find Amplitude, Period, and Phase Shift	2sin(theta)	$2 \sin (θ)$
48902	Find Amplitude, Period, and Phase Shift	3sin(2x)+4cos(2x)	$3 \sin (2 x) + 4 \cos (2 x)$
48903	Find Amplitude, Period, and Phase Shift	-1/2sin(3t-2pi)	$- \frac{1}{2} \sin (3 t - 2 π)$
48904	Find Amplitude, Period, and Phase Shift	-1/2sin(4t-2pi)	$- \frac{1}{2} \sin (4 t - 2 π)$
48905	Find Amplitude, Period, and Phase Shift	-1/2cos(2x-2pi)	$- \frac{1}{2} \cos (2 x - 2 π)$
48906	Plot	x^2+y^2=9	$x^{2} + y^{2} = 9$
48907	Find Amplitude, Period, and Phase Shift	5tan(1/3x+pi/2)	$5 \tan (\frac{1}{3} x + \frac{π}{2})$
48908	Find Amplitude, Period, and Phase Shift	4sin(1/3x)	$4 \sin (\frac{1}{3} x)$
48909	Find Amplitude, Period, and Phase Shift	-5cos(x)	$- 5 \cos (x)$
48910	Evaluate the Function	f(t-6)=\|x+2\|-15	$f (t - 6) = \| x + 2 \| - 15$
48911	Find the Foci	(x^2)/12+(y^2)/16=1	$\frac{x^{2}}{12} + \frac{y^{2}}{16} = 1$
48912	Find the Foci	(x^2)/12+(y^2)/9=1	$\frac{x^{2}}{12} + \frac{y^{2}}{9} = 1$
48913	Find the Foci	(x^2)/121+y^2=1	$\frac{x^{2}}{121} + y^{2} = 1$
48914	Find the Foci	(x^2)/36+(y^2)/81=1	$\frac{x^{2}}{36} + \frac{y^{2}}{81} = 1$
48915	Find the Foci	25x^2+16y^2-64y-336=0	$25 x^{2} + 16 y^{2} - 64 y - 336 = 0$
48916	Find the Foci	25x^2+9y^2+100x-125=0	$25 x^{2} + 9 y^{2} + 100 x - 125 = 0$
48917	Convert to Degrees, Minutes, and Seconds	37.54 degrees	$37.54 °$
48918	Solve by Graphing	3^x=5x-1	$3^{x} = 5 x - 1$
48919	Find the Range	F(x)=5cos(x)	$F (x) = 5 \cos (x)$
48920	Solve by Graphing	0<=x<=2pi	$0 \leq x \leq 2 π$
48921	Find the x and y Intercepts	(4/5,y)	$(\frac{4}{5}, y)$
48922	Find the Equation of the Circle	theta=pi/2	$θ = \frac{π}{2}$
48923	Find the Range	F(x)=2cos(x-3)	$F (x) = 2 \cos (x - 3)$
48924	Convert to Radical Form	(3b)^(2/d)	${(3 b)}^{\frac{2}{d}}$
48925	Determine if Odd, Even, or Neither	y=sin(1/2)(x-pi)	$y = \sin (\frac{1}{2} (x - π))$
48926	Solve by Completing the Square	x^2+10x-107=-7	$x^{2} + 10 x - 107 = - 7$
48927	Add	b/a+1/b	$\frac{b}{a} + \frac{1}{b}$
48928	Add	sin(x)+cos(x)	$\sin (x) + \cos (x)$
48929	Expand the Logarithmic Expression	log base 2 of cube root of x^12y	$\log_{2} (\sqrt[3]{x^{12} y})$
48930	Expand the Logarithmic Expression	log base 5 of (m^2n^3)^4	$\log_{5} ({(m^{2} n^{3})}^{4})$
48931	Find the Roots (Zeros)	f(x)=-sin(2x)-sin(x)	$f (x) = - \sin (2 x) - \sin (x)$
48932	Expand the Logarithmic Expression	log base g of ( square root of st^2)/(r^3)	$\log_{g} (\frac{\sqrt{s} t^{2}}{r^{3}})$
48933	Factor	27x^4-x	$27 x^{4} - x$
48934	Factor	3x^4+12x^2+6x^3	$3 x^{4} + 12 x^{2} + 6 x^{3}$
48935	Find the Degree	cot(theta)=- square root of 3	$\cot (θ) = - \sqrt{3}$
48936	Find the Degree	tan(theta)=2/3	$\tan (θ) = \frac{2}{3}$
48937	Find the Degree	theta=( square root of 3)/2	$θ = \frac{\sqrt{3}}{2}$
48938	Find the Degree	theta=225 degrees	$θ = 225 °$
48939	Solve Using the Quadratic Formula	6x^2+x+4=0	$6 x^{2} + x + 4 = 0$
48940	Find the Quadrant	(3,225 degrees )	$(3, 225 °)$
48941	Find the Vertices	(x^2)/64+(y^2)/49=1	$\frac{x^{2}}{64} + \frac{y^{2}}{49} = 1$
48942	Find the Quadrant	(2,pi/6)	$(2, \frac{π}{6})$
48943	Solve the Triangle	A=32 , a=19 , b=14	$A = 32$ , $a = 19$ , $b = 14$
48944	Find the Vertex	y=1/6x^2+2x+11	$y = \frac{1}{6} x^{2} + 2 x + 11$
48945	Find the Vertex	y^2+8y+4x+36=0	$y^{2} + 8 y + 4 x + 36 = 0$
48946	Find the Vertex	y=2x^2-12x+5	$y = 2 x^{2} - 12 x + 5$
48947	Solve the Triangle	a=5 , b=8 , c=70	$a = 5$ , $b = 8$ , $c = 70$
48948	Find the x and y Intercepts	y=2x^2+x-15	$y = 2 x^{2} + x - 15$
48949	Find Trig Functions Using Identities	tan(52 degrees 45')	$\tan (52 ° 45')$
48950	Find Trig Functions Using Identities	sin(theta)=5/6 , cos(theta)=( square root of 11)/6	$\sin (θ) = \frac{5}{6}$ , $\cos (θ) = \frac{\sqrt{11}}{6}$
48951	Find Trig Functions Using Identities	2cos(4theta)^2-1	$2 \cos^{2} (4 θ) - 1$
48952	Find Trig Functions Using Identities	2sin(x)^2cos(x)^2	$2 \sin^{2} (x) \cos^{2} (x)$
48953	Find Trig Functions Using Identities	cot(theta)=cos(theta)csc(theta)	$\cot (θ) = \cos (θ) \csc (θ)$
48954	Find Trig Functions Using Identities	cos(theta)=-( square root of 3)/2	$\cos (θ) = - \frac{\sqrt{3}}{2}$
48955	Find Trig Functions Using Identities	sin(theta)=1/6 , cos(theta)=( square root of 35)/6	$\sin (θ) = \frac{1}{6}$ , $\cos (θ) = \frac{\sqrt{35}}{6}$
48956	Find Trig Functions Using Identities	sin(x+y)	$\sin (x + y)$
48957	Find Trig Functions Using Identities	sin((3pi)/2-theta)=-cos(theta)	$\sin (\frac{3 π}{2} - θ) = - \cos (θ)$
48958	Find Trig Functions Using Identities	sin(pi/12)	$\sin (\frac{π}{12})$
48959	Find Trig Functions Using Identities	(-( square root of 2)/2,-( square root of 2)/2)	$(- \frac{\sqrt{2}}{2}, - \frac{\sqrt{2}}{2})$
48960	Find Trig Functions Using Identities	(sec(theta))/(csc(theta))=1	$\frac{\sec (θ)}{\csc (θ)} = 1$
48961	Find Trig Functions Using Identities	(0,2)	$(0, 2)$
48962	Find Trig Functions Using Identities	1/(1+sin(x))-1/(1-sin(x))	$\frac{1}{1 + \sin (x)} - \frac{1}{1 - \sin (x)}$
48963	Find Trig Functions Using Identities	(1+tan(theta)^2)cos(theta)^2=1	$(1 + \tan^{2} (θ)) \cos^{2} (θ) = 1$
48964	Find Trig Functions Using Identities	(-7,-2)	$(- 7, - 2)$
48965	Find Trig Functions Using Identities	cos(theta)*csc(theta)=cot(theta)	$\cos (θ) \cdot \csc (θ) = \cot (θ)$
48966	Find Trig Functions Using Identities	cos(x-pi/2)	$\cos (x - \frac{π}{2})$
48967	Find the Roots (Zeros)	(x^2-4)(x^2+1)	$(x^{2} - 4) (x^{2} + 1)$
48968	Solve over the Interval	sin(x)=-1/2[0,2pi)	$\sin (x) = - \frac{1}{2} [0, 2 π)$
48969	Solve over the Interval	2sin(2x)-1=0 , [0,2pi)	$2 \sin (2 x) - 1 = 0$ , $[0, 2 π)$
48970	Solve over the Interval	square root of 3sec(theta)-2=0 , [0,2pi)	$\sqrt{3} \sec (θ) - 2 = 0$ , $[0, 2 π)$
48971	Solve over the Interval	square root of 2cos(x)-1=0 , (0,2pi)	$\sqrt{2} \cos (x) - 1 = 0$ , $(0, 2 π)$
48972	Find the Tangent Given the Point	(-1/( square root of 17),4/( square root of 17))	$(- \frac{1}{\sqrt{17}}, \frac{4}{\sqrt{17}})$
48973	Find the Tangent Given the Point	( square root of 5,2)	$(\sqrt{5}, 2)$
48974	Find the Tangent Given the Point	(( square root of 77)/9,2/9)	$(\frac{\sqrt{77}}{9}, \frac{2}{9})$
48975	Find the Tangent Given the Point	(2, square root of 5)	$(2, \sqrt{5})$
48976	Determine if True	sin(60 degrees )=( square root of 3)/2	$\sin (60 °) = \frac{\sqrt{3}}{2}$
48977	Determine if True	cos(29 degrees )^2=(1-cos(58 degrees ))/2	$\cos^{2} (29 °) = \frac{1 - \cos (58 °)}{2}$
48978	Determine if True	tan(75 degrees )=tan(30 degrees )+tan(45 degrees )	$\tan (75 °) = \tan (30 °) + \tan (45 °)$
48979	Determine if True	2^2.5=-2(2.5)+11	$2^{2.5} = - 2 (2.5) + 11$
48980	Determine if True	( square root of 3)/2=34 1/2	$\frac{\sqrt{3}}{2} = 34 \frac{1}{2}$
48981	Determine if True	(8^2+3^2)^2=(8^2-3^2)^2+(283)^2	${(8^{2} + 3^{2})}^{2} = {(8^{2} - 3^{2})}^{2} + {(2 \cdot 8 \cdot 3)}^{2}$
48982	Determine if True	sin(pi/4)=cos(pi/4)	$\sin (\frac{π}{4}) = \cos (\frac{π}{4})$
48983	Determine if True	sin(30 degrees )=1/2	$\sin (30 °) = \frac{1}{2}$
48984	Find Amplitude, Period, and Phase Shift	f(t)=pisin(pit-pi)+pi	$f (t) = π \sin (π t - π) + π$
48985	Find Amplitude, Period, and Phase Shift	f(x)=1/2cos(2x)	$f (x) = \frac{1}{2} \cos (2 x)$
48986	Find Amplitude, Period, and Phase Shift	f(x)=-1/2sin(4x-2pi)	$f (x) = - \frac{1}{2} \sin (4 x - 2 π)$
48987	Find Amplitude, Period, and Phase Shift	f(t)=40cos(80t+20)	$f (t) = 40 \cos (80 t + 20)$
48988	Find Amplitude, Period, and Phase Shift	g(x)=cos((2pi)/3x)+1	$g (x) = \cos (\frac{2 π}{3} x) + 1$
48989	Find Amplitude, Period, and Phase Shift	g(x)=8cos(5pix+(3pi)/2)-9	$g (x) = 8 \cos (5 π x + \frac{3 π}{2}) - 9$
48990	Find Amplitude, Period, and Phase Shift	f(x)=7cos(x)-4	$f (x) = 7 \cos (x) - 4$
48991	Find Amplitude, Period, and Phase Shift	f(x)=7sin(8x)+3	$f (x) = 7 \sin (8 x) + 3$
48992	Find Amplitude, Period, and Phase Shift	f(x)=-cos(pitheta)	$f (x) = - \cos (π θ)$
48993	Find Amplitude, Period, and Phase Shift	f(x)=-4sec(1/2x)	$f (x) = - 4 \sec (\frac{1}{2} x)$
48994	Find Amplitude, Period, and Phase Shift	f(x)=4sin(1/pix-2)+8	$f (x) = 4 \sin (\frac{1}{π} x - 2) + 8$
48995	Find Amplitude, Period, and Phase Shift	f(x)=-4sin(2x+pi)-5	$f (x) = - 4 \sin (2 x + π) - 5$
48996	Find Amplitude, Period, and Phase Shift	f(x)=3tan(4x+pi)	$f (x) = 3 \tan (4 x + π)$
48997	Find Amplitude, Period, and Phase Shift	f(x)=-1cos(x-pi)+2	$f (x) = - 1 \cos (x - π) + 2$
48998	Find Amplitude, Period, and Phase Shift	f(x)=3/4cos(3x)+4	$f (x) = \frac{3}{4} \cos (3 x) + 4$
48999	Find Amplitude, Period, and Phase Shift	f(x)=4/5cos(theta)	$f (x) = \frac{4}{5} \cos (θ)$
49000	Find All Complex Number Solutions	z=-2-2 square root of 3i	$z = - 2 - 2 \sqrt{3 i}$