Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48001	Solve over the Interval	sin(2x)-2cos(x)=0 , (0,2pi)	$\sin (2 x) - 2 \cos (x) = 0$ , $(0, 2 π)$
48002	Convert Degrees, Minutes, Seconds to Decimal Degrees	14 degrees 20'	$14 ° 20'$
48003	Plot	theta=(3pi)/4	$θ = \frac{3 π}{4}$
48004	Find the Roots (Zeros)	27i	$27 i$
48005	Write in Standard Form	(-4-6i)-(5-i)	$(- 4 - 6 i) - (5 - i)$
48006	Find the x and y Intercepts	y=6tan(x/2)-3	$y = 6 \tan (\frac{x}{2}) - 3$
48007	Write in Standard Form	2x^2-12x+2y^2+24y+18=0	$2 x^{2} - 12 x + 2 y^{2} + 24 y + 18 = 0$
48008	Find Amplitude, Period, and Phase Shift	f(x)=3sin(2x)+4cos(3x)	$f (x) = 3 \sin (2 x) + 4 \cos (3 x)$
48009	Find Amplitude, Period, and Phase Shift	f(t)=-1/3sin(4t-3pi)	$f (t) = - \frac{1}{3} \sin (4 t - 3 π)$
48010	Describe the Transformation	f(x)=e^(2x)	$f (x) = e^{2 x}$
48011	Find the Center and Radius	x^2-16x+y^2-36=0	$x^{2} - 16 x + y^{2} - 36 = 0$
48012	Find the Maximum/Minimum Value	y=sin(x)-6	$y = \sin (x) - 6$
48013	Convert Degrees, Minutes, Seconds to Decimal Degrees	32 degrees 15'66''	$32 ° 15' 66''$
48014	Expand Using Pascal's Triangle	(x-y)^4	${(x - y)}^{4}$
48015	Find the Roots (Zeros)	3 square root of 3+3i	$3 \sqrt{3} + 3 i$
48016	Find the Roots (Zeros)	8i	$8 i$
48017	Evaluate Using the Given Value	cos(x)=12/13 , sin(x/2)	$\cos (x) = \frac{12}{13}$ , $\sin (\frac{x}{2})$
48018	Find the Domain and Range	f(x)=2x+cos(x)	$f (x) = 2 x + \cos (x)$
48019	Write in Standard Form	9y^2+41=4x^2+54y+8x	$9 y^{2} + 41 = 4 x^{2} + 54 y + 8 x$
48020	Eliminate the Parameter	x=t^2+3 , y=4t	$x = t^{2} + 3$ , $y = 4 t$
48021	Rationalize the Denominator	2/( square root of 3)	$\frac{2}{\sqrt{3}}$
48022	Convert Degrees, Minutes, Seconds to Decimal Degrees	57 degrees 30'	$57 ° 30'$
48023	Write in y=mx+b Form	theta=(4pi)/3	$θ = \frac{4 π}{3}$
48024	Reduce the Fraction	16/30	$\frac{16}{30}$
48025	Find the Equation of the Circle	r=12	$r = 12$
48026	Find the Distance Between Two Points	(0,0) , (0.829,0.559)	$(0, 0)$ , $(0.829, 0.559)$
48027	Find the Eccentricity	(x^2)/20+(y^2)/36=1	$\frac{x^{2}}{20} + \frac{y^{2}}{36} = 1$
48028	Find the Equation Given the Roots	-64i	$- 64 i$
48029	Find the Equation Given the Roots	-i	$- i$
48030	Write in Standard Form	theta=pi/4	$θ = \frac{π}{4}$
48031	Find the Domain and Range	f(x)=tan(x)	$f (x) = \tan (x)$
48032	Find the Maximum/Minimum Value	f(t)=-3cos(t)	$f (t) = - 3 \cos (t)$
48033	Convert to a Percentage	5/30	$\frac{5}{30}$
48034	Convert to a Percentage	3/30	$\frac{3}{30}$
48035	Find the Inverse	y=1/2arccos(pix)-3	$y = \frac{1}{2} \arccos (π x) - 3$
48036	Find the Reciprocal	pi/3	$\frac{π}{3}$
48037	Convert Degrees, Minutes, Seconds to Decimal Degrees	70 degrees 15'	$70 ° 15'$
48038	Plot	(2,-pi/4)	$(2, - \frac{π}{4})$
48039	Reduce the Fraction	16/34	$\frac{16}{34}$
48040	Reduce the Fraction	( square root of 3)/2	$\frac{\sqrt{3}}{2}$
48041	Find the Axis of Symmetry	x^2=8y	$x^{2} = 8 y$
48042	Find the Slope	theta=pi/4	$θ = \frac{π}{4}$
48043	Write in Standard Form	x^2+y^2-6x=0	$x^{2} + y^{2} - 6 x = 0$
48044	Find the Quadrant	(3,-pi/4)	$(3, - \frac{π}{4})$
48045	Find the Quadrant	(5/13,y)	$(\frac{5}{13}, y)$
48046	Determine if Rational	square root of 41	$\sqrt{41}$
48047	Find the Maximum/Minimum Value	f(t)=2/3cos(t)	$f (t) = \frac{2}{3} \cos (t)$
48048	Complete the Square	y^2-4y	$y^{2} - 4 y$
48049	Find the Degree	pi	$π$
48050	Expand Using Pascal's Triangle	(x-2)^6	${(x - 2)}^{6}$
48051	Find the Roots (Zeros)	f(x)=4cos(x)^2-3	$f (x) = 4 \cos^{2} (x) - 3$
48052	Convert Degrees, Minutes, Seconds to Decimal Degrees	35 degrees 18'	$35 ° 18'$
48053	Convert Degrees, Minutes, Seconds to Decimal Degrees	49 degrees 20'	$49 ° 20'$
48054	Convert Degrees, Minutes, Seconds to Decimal Degrees	52 degrees 47'	$52 ° 47'$
48055	Convert Degrees, Minutes, Seconds to Decimal Degrees	8 degrees 15'	$8 ° 15'$
48056	Convert Degrees, Minutes, Seconds to Decimal Degrees	59 degrees 50'	$59 ° 50'$
48057	Convert Degrees, Minutes, Seconds to Decimal Degrees	6 degrees 14'48''	$6 ° 14' 48''$
48058	Convert Degrees, Minutes, Seconds to Decimal Degrees	54 degrees 30'	$54 ° 30'$
48059	Convert Degrees, Minutes, Seconds to Decimal Degrees	57 degrees 10'	$57 ° 10'$
48060	Find the Reciprocal	( square root of 3)/2	$\frac{\sqrt{3}}{2}$
48061	Find the Inverse	y=\|x\|+6	$y = \| x \| + 6$
48062	Find the Inverse	y=arccos(x-pi)	$y = \arccos (x - π)$
48063	Find the x and y Intercepts	f(x)=2sin(x)	$f (x) = 2 \sin (x)$
48064	Find the Slope	theta=(5pi)/6	$θ = \frac{5 π}{6}$
48065	Find the Standard Form of the Parabola	y^2-12y+16x+36=0	$y^{2} - 12 y + 16 x + 36 = 0$
48066	Convert to Interval Notation	(4x-8)/(x-7)>=0	$\frac{4 x - 8}{x - 7} \geq 0$
48067	Find the Roots (Zeros)	3+3 square root of 3i	$3 + 3 \sqrt{3} i$
48068	Find the Roots (Zeros)	1+ square root of 3i	$1 + \sqrt{3} i$
48069	Find the Roots (Zeros)	5 square root of 3+5i	$5 \sqrt{3} + 5 i$
48070	Find the Roots (Zeros)	6 square root of 3+6i	$6 \sqrt{3} + 6 i$
48071	Find the Maximum/Minimum Value	y=tan(x)	$y = \tan (x)$
48072	Write in y=mx+b Form	theta=pi/6	$θ = \frac{π}{6}$
48073	Solve by Substitution	x^2+y^2=52y-x=2	$x^{2} + y^{2} = 52 y - x = 2$
48074	Split Using Partial Fraction Decomposition	(2x-9)/(x(x+3))	$\frac{2 x - 9}{x (x + 3)}$
48075	Find the Exact Value	-4cot(-405)	$- 4 \cot (- 405)$
48076	Graph	theta=pi/2	$θ = \frac{π}{2}$
48077	Find the Length of the Third Side	tri{}{90}{}{2}{2}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 2 \end{matrix} & \begin{matrix} A = & 90 \\ B = & 2 \\ C = \end{matrix} \end{matrix}$
48078	Find the Quadrant of the Angle	82	$82$
48079	Graph	theta=(2pi)/3	$θ = \frac{2 π}{3}$
48080	Solve for x	sin(x)-2sin(x)cos(x)=0	$\sin (x) - 2 \sin (x) \cos (x) = 0$
48081	Solve for x	sin(2x)+sin(x)=0	$\sin (2 x) + \sin (x) = 0$
48082	Expand Using De Moivre's Theorem	cos(6x)	$\cos (6 x)$
48083	Verify the Identity	tan(theta)+cot(theta)=1/(sin(theta)cos(theta))	$\tan (θ) + \cot (θ) = \frac{1}{\sin (θ) \cos (θ)}$
48084	Convert to Degrees, Minutes, and Seconds	0.235	$0.235$
48085	Find the Complement	87 degrees	$87 °$
48086	Find the Trig Value	sin(theta)=1/2 , cot(theta)	$\sin (θ) = \frac{1}{2}$ , $\cot (θ)$
48087	Find the Trig Value	sin(x) , tan(x)=1/2	$\sin (x)$ , $\tan (x) = \frac{1}{2}$
48088	Find Trig Functions Using Identities	tan(x)=4/3 , sin(x)=4/5	$\tan (x) = \frac{4}{3}$ , $\sin (x) = \frac{4}{5}$
48089	Solve for p	-56=-8 square root of 1-24p	$- 56 = - 8 \sqrt{1 - 24 p}$
48090	Find the Trig Value	sin(theta)=1/2 , tan(theta)	$\sin (θ) = \frac{1}{2}$ , $\tan (θ)$
48091	Solve by Substitution	x^2+(y^2)/4=1y=4-4x	$x^{2} + \frac{y^{2}}{4} = 1 y = 4 - 4 x$
48092	Convert from Degrees to Radians	arcsin(0.65)	$\arcsin (0.65)$
48093	Find Trig Functions Using Triangle Sides	sec(x)=13/12 , csc(x)=13/5	$\sec (x) = \frac{13}{12}$ , $\csc (x) = \frac{13}{5}$
48094	Solve by Factoring	(2x+3)^2-(2x-3)^2=24x	${(2 x + 3)}^{2} - {(2 x - 3)}^{2} = 24 x$
48095	Convert to Trigonometric Form	-2+6i	$- 2 + 6 i$
48096	Find the Other Trig Values in Quadrant III	tan(theta)=2	$\tan (θ) = 2$
48097	Convert to Trigonometric Form	3+6i	$3 + 6 i$
48098	Convert to Trigonometric Form	-2+5i	$- 2 + 5 i$
48099	Verify the Identity	cos(theta)^2(tan(theta)^2+1)=1	$\cos^{2} (θ (\tan^{2} (θ) + 1)) = 1$
48100	Convert from Degrees to Radians	-500 degrees	$- 500 °$