Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48401	Find the Sine Given the Point	(5,- square root of 11)	$(5, - \sqrt{11})$
48402	Find the Domain and Range	f(x)=3cot(2x)	$f (x) = 3 \cot (2 x)$
48403	Simplify/Condense	(cos(theta))/(sin(theta))+(sin(theta))/(cos(theta))	$\frac{\cos (θ)}{\sin (θ)} + \frac{\sin (θ)}{\cos (θ)}$
48404	Find the Center and Radius	x^2+y^2+10x+12y-39=0	$x^{2} + y^{2} + 10 x + 12 y - 39 = 0$
48405	Find the Center and Radius	(x-4)^2+y^2=49	${(x - 4)}^{2} + y^{2} = 49$
48406	Find the Directrix	(y-3)^2=20(x+1)	${(y - 3)}^{2} = 20 (x + 1)$
48407	Find All Complex Solutions	sec(x)(2cos(x)- square root of 2)=0	$\sec (x (2 \cos (x) - \sqrt{2})) = 0$
48408	Convert Degrees, Minutes, Seconds to Decimal Degrees	46 degrees 20'	$46 ° 20'$
48409	Convert Degrees, Minutes, Seconds to Decimal Degrees	149 degrees 20'	$149 ° 20'$
48410	Convert Degrees, Minutes, Seconds to Decimal Degrees	23 degrees 20'48''	$23 ° 20' 48''$
48411	Find the Cosine Given the Point	P=(-1/2,( square root of 3)/2)	$P = (- \frac{1}{2}, \frac{\sqrt{3}}{2})$
48412	Find Amplitude, Period, and Phase Shift	-4sin(2x-7)+3	$- 4 \sin (2 x - 7) + 3$
48413	Find Amplitude, Period, and Phase Shift	tan(2theta)	$\tan (2 θ)$
48414	Find the Domain	f(x) = log of x^2-12x+27	$f (x) = \log (x^{2} - 12 x + 27)$
48415	Reduce the Fraction	135/180	$\frac{135}{180}$
48416	Find the Asymptotes	y=tan(3theta)	$y = \tan (3 θ)$
48417	Solve for h	90=8 square root of h	$90 = 8 \sqrt{h}$
48418	Solve for H	15.2/(sin(H))=12.0/(sin(50 degrees ))	$\frac{15.2}{\sin (H)} = \frac{12}{\sin (50 °)}$
48419	Solve for C	(9.9)^2=(8.4)^2+(8.7)^2-28.48.7cos(C)	${(9.9)}^{2} = {(8.4)}^{2} + {(8.7)}^{2} - 2 \cdot 8.4 \cdot 8.7 \cos (C)$
48420	Solve for b	square root of 3=69/b	$\sqrt{3} = \frac{69}{b}$
48421	Solve for b	21^2+b^2=29^2	$21^{2} + b^{2} = 29^{2}$
48422	Solve for b	(2pi)/b=0.25	$\frac{2 π}{b} = 0.25$
48423	Solve for b	(2pi)/b=(4pi)/3	$\frac{2 π}{b} = \frac{4 π}{3}$
48424	Solve for t	cos(pi/2t)=-1/2	$\cos (\frac{π}{2} t) = - \frac{1}{2}$
48425	Solve for s	sin(s)=-1/2	$\sin (s) = - \frac{1}{2}$
48426	Solve for T	h=2pir^2+pirT	$h = 2 π r^{2} + π r T$
48427	Solve for t	500=100e^(0.04t)	$500 = 100 e^{(0.04 t)}$
48428	Solve for w	2pi=(2pi)/w	$2 π = \frac{2 π}{w}$
48429	Solve for y	y=cos(arcsin(5/9))	$y = \cos (\arcsin (\frac{5}{9}))$
48430	Solve for y	(-24/25)^2+y^2=1	${(- \frac{24}{25})}^{2} + y^{2} = 1$
48431	Solve for y	6/5arccos(y/4)=pi	$\frac{6}{5} \arccos (\frac{y}{4}) = π$
48432	Solve for y	sin(44 degrees )=y/17	$\sin (44 °) = \frac{y}{17}$
48433	Expand Using De Moivre's Theorem	( square root of 2(cos(10 degrees )+isin(10 degrees )))^6	${(\sqrt{2} (\cos (10 °) + i \sin (10 °)))}^{6}$
48434	Solve Using the Quadratic Formula	10x^2-10x=4x^2-3x+10	$10 x^{2} - 10 x = 4 x^{2} - 3 x + 10$
48435	Find the Degree	-20 degrees	$- 20 °$
48436	Find the x and y Intercepts	y=sec(x)	$y = \sec (x)$
48437	Find the x and y Intercepts	theta=pi/2	$θ = \frac{π}{2}$
48438	Find the Vertex	y=3/4x^2-6x+15	$y = \frac{3}{4} x^{2} - 6 x + 15$
48439	Find the Tangent Given the Point	(3, square root of 3)	$(3, \sqrt{3})$
48440	Find the Tangent Given the Point	(5, square root of 11)	$(5, \sqrt{11})$
48441	Find the Tangent Given the Point	( square root of 11,-5)	$(\sqrt{11}, - 5)$
48442	Determine if True	-----(pi/3)sin(pi/6)=1/2(sin(pi/2)-sin(pi/6))	$- - - - - (\frac{π}{3}) \sin (\frac{π}{6}) = \frac{1}{2} (\sin (\frac{π}{2}) - \sin (\frac{π}{6}))$
48443	Solve over the Interval	4cos(x)^2+2cos(x)-2 square root of 2cos(x) = square root of 2 , [0,2pi)	$4 \cos^{2} (x) + 2 \cos (x) - 2 \sqrt{2} \cos (x) = \sqrt{2}$ , $[0, 2 π)$
48444	Find Amplitude, Period, and Phase Shift	f(x)=2sec(2x+3)	$f (x) = 2 \sec (2 x + 3)$
48445	Find Amplitude, Period, and Phase Shift	f(x)=1/2tan(2x+5)	$f (x) = \frac{1}{2} \tan (2 x + 5)$
48446	Find Amplitude, Period, and Phase Shift	f(t)=sin(pi)(t-3)+4	$f (t) = \sin (π (t - 3)) + 4$
48447	Find the Maximum/Minimum Value	f(x)=9cos(x)	$f (x) = 9 \cos (x)$
48448	Solve the Triangle	tri{}{45}{}{45}{5}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 5 \end{matrix} & \begin{matrix} A = & 45 \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
48449	Solve the Triangle	tri()(45)(6 square root of 2)(45)()(90)	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 6 \sqrt{2} \\ a = \end{matrix} & \begin{matrix} A = & 45 \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
48450	Solve the Triangle	tri{4}{45}{}{45}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 45 \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
48451	Solve the Triangle	tri{18}{}{30}{}{24}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 18 \\ c = & 30 \\ a = & 24 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48452	Solve the Triangle	tri{12}{}{15}{}{9}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = & 15 \\ a = & 9 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48453	Solve the Triangle	tri{9}{}{41}{}{40}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 9 \\ c = & 41 \\ a = & 40 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48454	Solve the Triangle	tri{9}{}{10}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 9 \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48455	Find Trig Functions Using Identities	150 degrees	$150 °$
48456	Find Trig Functions Using Identities	theta=(7pi)/4	$θ = \frac{7 π}{4}$
48457	Determine if Rational	square root of 361	$\sqrt{361}$
48458	Find All Complex Number Solutions	x^3-2=0	$x^{3} - 2 = 0$
48459	Find All Complex Number Solutions	x^2=4i	$x^{2} = 4 i$
48460	Find the Complement	53 degrees	$53 °$
48461	Write in Standard Form	((2+2i)^5(-3+3i)^3)/(( square root of 3+i)^10)	$\frac{{(2 + 2 i)}^{5} {(- 3 + 3 i)}^{3}}{{(\sqrt{3} + i)}^{10}}$
48462	Convert to a Simplified Fraction	square root of 56	$\sqrt{56}$
48463	Convert to a Simplified Fraction	square root of 82	$\sqrt{82}$
48464	Find the Complement	33 degrees	$33 °$
48465	Find the Complement	17 degrees	$17 °$
48466	Find the Complement	29 degrees	$29 °$
48467	Solve by Factoring	cos(theta)-tan(theta)cos(theta)=0	$\cos (θ) - \tan (θ) \cos (θ) = 0$
48468	Write in Standard Form	(3-4i)/(5+3i)	$\frac{3 - 4 i}{5 + 3 i}$
48469	Write in Standard Form	cube root of -1+i square root of 3	$\sqrt[3]{- 1 + i \sqrt{3}}$
48470	Divide	(-4/7)/(( square root of 33)/7)	$\frac{- \frac{4}{7}}{\frac{\sqrt{33}}{7}}$
48471	Simplify/Condense	sin(x)(csc(x)-cot(x)cos(x))	$\sin (x (\csc (x) - \cot (x) \cos (x)))$
48472	Find the Center and Radius	(x-10)^2+(y-8)^2=256	${(x - 10)}^{2} + {(y - 8)}^{2} = 256$
48473	Find the Center and Radius	x^2+y^2-4x+12y+15=0	$x^{2} + y^{2} - 4 x + 12 y + 15 = 0$
48474	Find the Sine Given the Point	(-5,-9)	$(- 5, - 9)$
48475	Find the Sine Given the Point	(20,-15)	$(20, - 15)$
48476	Find the Sine Given the Point	((2 square root of 2)/3,-1/3)	$(\frac{2 \sqrt{2}}{3}, - \frac{1}{3})$
48477	Write in Standard Form	3x^2+4y^2+12x-8y-32=0	$3 x^{2} + 4 y^{2} + 12 x - 8 y - 32 = 0$
48478	Write in Standard Form	y^2+8y+4x+36=0	$y^{2} + 8 y + 4 x + 36 = 0$
48479	Write in Standard Form	x^2+y^2+22x+14y-55=0	$x^{2} + y^{2} + 22 x + 14 y - 55 = 0$
48480	Find the Roots (Zeros)	6x^4-x^3+3x^2-15x-25=0	$6 x^{4} - x^{3} + 3 x^{2} - 15 x - 25 = 0$
48481	Find the Roots (Zeros)	2sin(theta)cos(theta)+cos(theta)=0	$2 \sin (θ) \cos (θ) + \cos (θ) = 0$
48482	Find the Roots (Zeros)	y=cot(x)	$y = \cot (x)$
48483	Find the Cosine Given the Point	(35/37,-12/37)	$(\frac{35}{37}, - \frac{12}{37})$
48484	Factor over the Complex Numbers	4 square root of 3-4i	$4 \sqrt{3} - 4 i$
48485	Find the Cosine Given the Point	(-2,- square root of 5)	$(- 2, - \sqrt{5})$
48486	Find the Cosine Given the Point	p=(( square root of 3)/2,-1/2)	$p = (\frac{\sqrt{3}}{2}, - \frac{1}{2})$
48487	Find the Cosine Given the Point	(-7,-8)	$(- 7, - 8)$
48488	Find the Cosine Given the Point	(-5,-9)	$(- 5, - 9)$
48489	Find the Cosine Given the Point	(5,- square root of 11)	$(5, - \sqrt{11})$
48490	Convert to Interval Notation	0<=x<2pi	$0 \leq x < 2 π$
48491	Solve the System of @WORD	square root of 2sin(x)+ square root of 2cos(x)>0	$\sqrt{2} \sin (x) + \sqrt{2} \cos (x) > 0$
48492	Convert Degrees, Minutes, Seconds to Decimal Degrees	21 degrees 20'	$21 ° 20'$
48493	Convert Degrees, Minutes, Seconds to Decimal Degrees	29 degrees 50'	$29 ° 50'$
48494	Convert Degrees, Minutes, Seconds to Decimal Degrees	27 degrees 30'	$27 ° 30'$
48495	Convert Degrees, Minutes, Seconds to Decimal Degrees	19 degrees 19'	$19 ° 19'$
48496	Convert Degrees, Minutes, Seconds to Decimal Degrees	20 degrees 20'	$20 ° 20'$
48497	Convert Degrees, Minutes, Seconds to Decimal Degrees	43 degrees 30'	$43 ° 30'$
48498	Convert Degrees, Minutes, Seconds to Decimal Degrees	5 degrees 5'5''	$5 ° 5' 5''$
48499	Convert Degrees, Minutes, Seconds to Decimal Degrees	37 degrees 30'	$37 ° 30'$
48500	Expand Using the Binomial Theorem	(5x-9y)^2	${(5 x - 9 y)}^{2}$