Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
47901	Expand Using De Moivre's Theorem	sin(7x)	$\sin (7 x)$
47902	Convert to Degrees, Minutes, and Seconds	6.325	$6.325$
47903	Convert to Degrees, Minutes, and Seconds	0.023	$0.023$
47904	Identify the Polar Equation	r=10sin(theta)	$r = 10 \sin (θ)$
47905	Find Trig Functions Using Identities	tan(x)=4/3 , cos(x)=3/5	$\tan (x) = \frac{4}{3}$ , $\cos (x) = \frac{3}{5}$
47906	Find the Trig Value	sin(theta)=1/2 , csc(theta)	$\sin (θ) = \frac{1}{2}$ , $\csc (θ)$
47907	Find the Trig Value	sin(2theta)	$\sin (2 θ)$
47908	Find the Trig Value	sin(theta)=1/2 , cos(theta)	$\sin (θ) = \frac{1}{2}$ , $\cos (θ)$
47909	Convert to a Decimal	square root of 7	$\sqrt{7}$
47910	Find Trig Functions Using Identities	cos(x)=3/5 , cot(x)=3/4	$\cos (x) = \frac{3}{5}$ , $\cot (x) = \frac{3}{4}$
47911	Find Trig Functions Using Identities	sec(x)=13/12 , cot(x)=12/5	$\sec (x) = \frac{13}{12}$ , $\cot (x) = \frac{12}{5}$
47912	Write in Standard Form	x^2-y^2-2x+4y-6=0	$x^{2} - y^{2} - 2 x + 4 y - 6 = 0$
47913	Find the Maximum/Minimum Value	y=sin(x)	$y = \sin (x)$
47914	Find the Focus	x^2=-4y	$x^{2} = - 4 y$
47915	Convert to a Decimal	square root of 34	$\sqrt{34}$
47916	Find the Quadrant	(5,135 degrees )	$(5, 135 °)$
47917	Find the Length of a	tri{}{36}{10}{54}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = & 36 \\ B = & 54 \\ C = & 90 \end{matrix} \end{matrix}$
47918	Solve the Triangle	tri{4}{}{5}{}{3}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \\ c = & 5 \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
47919	Find the Focus	y^2=-20x	$y^{2} = - 20 x$
47920	Identify the Polar Equation	theta=pi/4	$θ = \frac{π}{4}$
47921	Solve the Triangle	tri{12}{}{13}{}{5}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = & 13 \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
47922	Solve the Triangle	tri{15}{}{17}{}{8}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 15 \\ c = & 17 \\ a = & 8 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
47923	Solve the Triangle	tri{5}{}{13}{}{12}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = & 13 \\ a = & 12 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
47924	Convert to a Simplified Fraction	square root of 32	$\sqrt{32}$
47925	Convert Degrees, Minutes, Seconds to Decimal Degrees	53 degrees 12'*45	$53 ° 12' \cdot 45$
47926	Find Trig Functions Using Triangle Sides	sec(x)=13/12 , cot(x)=12/5	$\sec (x) = \frac{13}{12}$ , $\cot (x) = \frac{12}{5}$
47927	Find Trig Functions Using Triangle Sides	csc(x)=5/3 , tan(x)=3/4	$\csc (x) = \frac{5}{3}$ , $\tan (x) = \frac{3}{4}$
47928	Find All Complex Solutions	sin(theta)=-( square root of 3)/2	$\sin (θ) = - \frac{\sqrt{3}}{2}$
47929	Find All Complex Solutions	x^3-8=0	$x^{3} - 8 = 0$
47930	Find the Roots (Zeros)	x^3-x=0	$x^{3} - x = 0$
47931	Solve the Triangle	tri{3}{}{5}{}{4}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 3 \\ c = & 5 \\ a = & 4 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
47932	Write in Standard Form	(2+3i)(2-i)	$(2 + 3 i) (2 - i)$
47933	Find the Domain	csc(theta)=1/(sin(theta))	$\csc (θ) = \frac{1}{\sin (θ)}$
47934	Find All Complex Solutions	x^3-64=0	$x^{3} - 64 = 0$
47935	Write in Standard Form	(- square root of 3+i)^6	${(- \sqrt{3} + i)}^{6}$
47936	Find the Quadrant	(4.6,213 degrees )	$(4.6, 213 °)$
47937	Find the Position Vector	(1,2) , (-5,7)	$(1, 2)$ , $(- 5, 7)$
47938	Convert to a Simplified Fraction	square root of 18	$\sqrt{18}$
47939	Find the Maximum/Minimum Value	y=cos(x)	$y = \cos (x)$
47940	Write in Standard Form	( square root of 3+i)^5	${(\sqrt{3} + i)}^{5}$
47941	Convert Degrees, Minutes, Seconds to Decimal Degrees	137 degrees 40'3''	$137 ° 40' 3''$
47942	Find the Roots (Zeros)	64i	$64 i$
47943	Solve by Factoring	2cos(x)^2+sin(x)=1	$2 \cos^{2} (x) + \sin (x) = 1$
47944	Solve the Triangle	tri{24}{}{25}{}{7}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 24 \\ c = & 25 \\ a = & 7 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
47945	Find the Slope	theta=(4pi)/3	$θ = \frac{4 π}{3}$
47946	Find the Quadrant	(4,(5pi)/3)	$(4, \frac{5 π}{3})$
47947	Find the Roots (Zeros)	square root of 3+i	$\sqrt{3} + i$
47948	Convert to Radians per Second	65rev/min	$65 r p m$
47949	Find the Quadrant	(6,-30 degrees )	$(6, - 30 °)$
47950	Find the Quadrant	(2,60 degrees )	$(2, 60 °)$
47951	Find the Quadrant	(-8,pi/4)	$(- 8, \frac{π}{4})$
47952	Write in Standard Form	theta=(11pi)/6	$θ = \frac{11 π}{6}$
47953	Find the Slope	theta=(7pi)/6	$θ = \frac{7 π}{6}$
47954	Find the Slope	theta=(3pi)/4	$θ = \frac{3 π}{4}$
47955	Find the Position Vector	(-3,1) , (2,14)	$p (- 3, 1)$ , $q (2, 14)$
47956	Find the Vertex	y^2=12x	$y^{2} = 12 x$
47957	Solve the Triangle	tri{}{30}{}{60}{3}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 3 \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
47958	Find the Slope	theta=(5pi)/3	$θ = \frac{5 π}{3}$
47959	Find the Slope	theta=(11pi)/6	$θ = \frac{11 π}{6}$
47960	Find Trig Functions Using Triangle Sides	tan(x)=4/3 , sin(x)=4/5	$\tan (x) = \frac{4}{3}$ , $\sin (x) = \frac{4}{5}$
47961	Find Amplitude, Period, and Phase Shift	f(t)=-5sin(7t-1)	$f (t) = - 5 \sin (7 t - 1)$
47962	Convert to Degrees, Minutes, and Seconds	95.61 degrees	$95.61 °$
47963	Write in Standard Form	theta=(5pi)/3	$θ = \frac{5 π}{3}$
47964	Find the Roots (Zeros)	-36+36 square root of 3i	$- 36 + 36 \sqrt{3 i}$
47965	Convert to a Simplified Fraction	square root of 41	$\sqrt{41}$
47966	Find the Slope	theta=pi/6	$θ = \frac{π}{6}$
47967	Solve the Triangle	tri{15}{}{17}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 15 \\ c = & 17 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
47968	Solve the Triangle	tri{}{30}{}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
47969	Solve the Triangle	tri{8}{}{}{}{5}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 8 \\ c = \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
47970	Solve the Triangle	tri{8}{}{10}{}{6}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 8 \\ c = & 10 \\ a = & 6 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
47971	Convert to Radians per Second	60rev/min	$60 r p m$
47972	Find Amplitude, Period, and Phase Shift	f(x)=cos(x)	$f (x) = \cos (x)$
47973	Find the Domain and Range	f(x)=2-x+sin(x)	$f (x) = 2 - x + \sin (x)$
47974	Convert to a Simplified Fraction	square root of 34	$\sqrt{34}$
47975	Convert Degrees, Minutes, Seconds to Decimal Degrees	59 degrees 28'	$59 ° 28'$
47976	Find Amplitude, Period, and Phase Shift	f(t)=2.5tan(t)	$f (t) = 2.5 \tan (t)$
47977	Simplify	4(2,5)-5(2,-2)	$4 (2, 5) - 5 (2, - 2)$
47978	Find the Vertex	x^2=-16y	$x^{2} = - 16 y$
47979	Find the Equation Given the Roots	-8i	$- 8 i$
47980	Find Amplitude, Period, and Phase Shift	f(x)=3sin(x-4)+9	$f (x) = 3 \sin (x - 4) + 9$
47981	Find the Quadrant	(-7,-pi/4)	$(- 7, - \frac{π}{4})$
47982	Find the Vertices	(x^2)/225-(y^2)/64=1	$\frac{x^{2}}{225} - \frac{y^{2}}{64} = 1$
47983	Find the Roots (Zeros)	y=cos(x)	$y = \cos (x)$
47984	Find All Complex Number Solutions	x^3+8i=0	$x^{3} + 8 i = 0$
47985	Convert Degrees, Minutes, Seconds to Decimal Degrees	112 degrees 30'	$112 ° 30'$
47986	Find the Vertex	y^2=20x	$y^{2} = 20 x$
47987	Find the Equation Given the Roots	square root of 3+i	$\sqrt{3} + i$
47988	Find Amplitude, Period, and Phase Shift	f(t)=-1/2sin(4t-2pi)	$f (t) = - \frac{1}{2} \sin (4 t - 2 π)$
47989	Convert to Degrees, Minutes, and Seconds	42.54 degrees	$42.54 °$
47990	Find the Inverse	f(x)=1/7x+3	$f (x) = \frac{1}{7} x + 3$
47991	Write in y=mx+b Form	theta=pi/3	$θ = \frac{π}{3}$
47992	Convert to Interval Notation	0<=theta<2pi	$0 \leq θ < 2 π$
47993	Find the Roots (Zeros)	4 square root of 3+4i	$4 \sqrt{3} + 4 i$
47994	Write in Standard Form	8i	$8 i$
47995	Find the x and y Intercepts	y=tan(x-(5pi)/6)	$y = \tan (x - \frac{5 π}{6})$
47996	Write in Standard Form	theta=pi/6	$θ = \frac{π}{6}$
47997	Find Amplitude, Period, and Phase Shift	f(x)=-3cos(4x+pi)+6	$f (x) = - 3 \cos (4 x + π) + 6$
47998	Find Amplitude, Period, and Phase Shift	f(x)=-3cos(2x+pi/4)	$f (x) = - 3 \cos (2 x + \frac{π}{4})$
47999	Simplify	(4,4)*(4,4)	$(4, 4) \cdot (4, 4)$
48000	Find the Range	y=cos(2x)-1	$y = \cos (2 x) - 1$