Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48501	Plot	theta=(4pi)/3	$θ = \frac{4 π}{3}$
48502	Find Amplitude, Period, and Phase Shift	-5sin((2pi)/5x-2pi)+17	$- 5 \sin (\frac{2 π}{5} x - 2 π) + 17$
48503	Find Amplitude, Period, and Phase Shift	-5cos(pi/8x)+3	$- 5 \cos (\frac{π}{8} x) + 3$
48504	Expand Using De Moivre's Theorem	(3(cos(27 degrees ))+isin(27 degrees ))^5	${(3 (\cos (27 °)) + i \sin (27 °))}^{5}$
48505	Expand Using De Moivre's Theorem	(4(cos(30 degrees )+isin(30 degrees )))^6	${(4 (\cos (30 °) + i \sin (30 °)))}^{6}$
48506	Expand Using De Moivre's Theorem	(3-3i)^4	${(3 - 3 i)}^{4}$
48507	Find the Inverse	f(x)=20x	$f (x) = 20 x$
48508	Graph the Interval	[-pi,pi]	$[- π, π]$
48509	Find the Intersection of the Sets	tri{}{}{}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48510	Solve for y	cos(64 degrees )=y/8	$\cos (64 °) = \frac{y}{8}$
48511	Solve for y	y=arcsin(3/2)	$y = \sin^{-1} (\frac{3}{2})$
48512	Solve for y	y=sec(165 degrees )	$y = \sec (165 °)$
48513	Solve for w	144=w^2+20^2-2w200.857	$144 = w^{2} + 20^{2} - 2 w \cdot 20 \cdot 0.857$
48514	Solve for t	t=-(26pi)/5	$t = - \frac{26 π}{5}$
48515	Solve for t	900=300e^(0.03t)	$900 = 300 e^{0.03 t}$
48516	Solve for s	cos(s)=-1/2	$\cos (s) = - \frac{1}{2}$
48517	Solve for B	(9.9sin(86.1))/11.2=sin(B)	$\frac{9.9 \sin (86.1)}{11.2} = \sin (B)$
48518	Solve for c	(9.9)^2=(8.4)^2+(8.7)^2-28.48.7cos(c)	${(9.9)}^{2} = {(8.4)}^{2} + {(8.7)}^{2} - 2 \cdot 8.4 \cdot 8.7 \cos (c)$
48519	Solve for a	a^2+28^2=35^2	$a^{2} + 28^{2} = 35^{2}$
48520	Solve for a	sin(a)=(( square root of 2)/2)	$\sin (a) = (\frac{\sqrt{2}}{2})$
48521	Find the Asymptotes	y=tan((2pi)/4x)	$y = \tan (\frac{2 π}{4} x)$
48522	Reduce the Fraction	24/25	$\frac{24}{25}$
48523	Find the Degree	tan(theta)=4	$\tan (θ) = 4$
48524	Determine if Odd, Even, or Neither	g(x)=cot(x)	$g (x) = \cot (x)$
48525	Find the Degree	60 degrees	$60 °$
48526	Expand the Logarithmic Expression	log base 6 of 2*11	$\log_{6} (2 \cdot 11)$
48527	Evaluate the Function	f(x)=arctan(x)	$f (x) = \arctan (x)$
48528	Determine if True	sin(pi/3)cos(pi/6)=1/2(sin(pi/2)+sin(pi/6))	$\sin (\frac{π}{3}) \cos (\frac{π}{6}) = \frac{1}{2} (\sin (\frac{π}{2}) + \sin (\frac{π}{6}))$
48529	Determine if True	cos(20-pi/2)=-1	$\cos (20 - \frac{π}{2}) = - 1$
48530	Determine if True	cos(60 degrees )=1/2	$\cos (60 °) = \frac{1}{2}$
48531	Find All Complex Number Solutions	z=3	$z = 3$
48532	Find Amplitude, Period, and Phase Shift	f(t)=0.2sin(t-0.3)+0.1	$f (t) = 0.2 \sin (t - 0.3) + 0.1$
48533	Find Amplitude, Period, and Phase Shift	f(t)=1.2cos(0.5t)	$f (t) = 1.2 \cos (0.5 t)$
48534	Find Amplitude, Period, and Phase Shift	f(x)=6cos(x/7+(2pi)/3)-2	$f (x) = 6 \cos (\frac{x}{7} + \frac{2 π}{3}) - 2$
48535	Find Amplitude, Period, and Phase Shift	f(x)=-4cos(5x-9)-7	$f (x) = - 4 \cos (5 x - 9) - 7$
48536	Find Amplitude, Period, and Phase Shift	f(x)=-4cos(2x-pi)+3	$f (x) = - 4 \cos (2 x - π) + 3$
48537	Find Amplitude, Period, and Phase Shift	f(x)=-2sin(5theta)+1	$f (x) = - 2 \sin (5 θ) + 1$
48538	Find Trig Functions Using Identities	135 degrees	$135 °$
48539	Find Trig Functions Using Identities	sec(theta)-sin(theta)tan(theta)	$\sec (θ) - \sin (θ) \tan (θ)$
48540	Find Trig Functions Using Identities	sin(4x)+2sin(2x)	$\sin (4 x) + 2 \sin (2 x)$
48541	Solve the Triangle	tri{9}{}{}{}{3}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 9 \\ c = \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48542	Solve the Triangle	tri{35}{}{37}{}{12}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 35 \\ c = & 37 \\ a = & 12 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48543	Solve the Triangle	tri(36)()()()(24)(90 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 36 \\ c = \\ a = & 24 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48544	Solve the Triangle	tri{13.7}{}{12.2}{}{11.4}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 13.7 \\ c = & 12.2 \\ a = & 11.4 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48545	Solve the Triangle	tri{20}{43}{}{}{}{72}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 20 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 43 \\ B = \\ C = & 72 \end{matrix} \end{matrix}$
48546	Solve the Triangle	tri{2}{45}{}{45}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 2 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 45 \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
48547	Solve the Triangle	tri(5 square root of 3)(30)()(60)()(90)	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \sqrt{3} \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
48548	Solve the Triangle	tri{5}{}{}{}{4}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = \\ a = & 4 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48549	Solve the Triangle	tri{54}{}{42}{52.1}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 54 \\ c = & 42 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 52.1 \\ C = \end{matrix} \end{matrix}$
48550	Solve the Triangle	tri{5}{}{8}{}{7}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = & 8 \\ a = & 7 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48551	Solve the Triangle	tri( square root of 3)(30)(2)(60)(1)(90)	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & \sqrt{3} \\ c = & 2 \\ a = & 1 \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
48552	Solve the Triangle	tri()(45)(4 square root of 2)(45)()(90)	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 4 \sqrt{2} \\ a = \end{matrix} & \begin{matrix} A = & 45 \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
48553	Solve the Triangle	tri{}{42}{}{87}{24}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 24 \end{matrix} & \begin{matrix} A = & 42 \\ B = & 87 \\ C = \end{matrix} \end{matrix}$
48554	Solve the Triangle	tri{}{60}{10}{30}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = & 60 \\ B = & 30 \\ C = & 90 \end{matrix} \end{matrix}$
48555	Solve the Triangle	tri{}{65}{}{37}{105}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 105 \end{matrix} & \begin{matrix} A = & 65 \\ B = & 37 \\ C = \end{matrix} \end{matrix}$
48556	Find the Supplement	17 degrees	$17 °$
48557	Find the Supplement	(7pi)/12	$\frac{7 π}{12}$
48558	Find the Supplement	330 degrees	$330 °$
48559	Find the Supplement	300 degrees	$300 °$
48560	Find the Supplement	38 degrees	$38 °$
48561	Find the Supplement	40 degrees	$40 °$
48562	Find the Supplement	57 degrees	$57 °$
48563	Find the Supplement	32 degrees	$32 °$
48564	Find Where Increasing/Decreasing	f(x)=7cos(x)	$f (x) = 7 \cos (x)$
48565	Find Where Increasing/Decreasing	f(x)=4cos(x)	$f (x) = 4 \cos (x)$
48566	Reduce the Fraction	(2pi)/5	$\frac{2 π}{5}$
48567	Reduce the Fraction	10/26	$\frac{10}{26}$
48568	Write in Standard Form	-4i	$- 4 i$
48569	Find the Complement	28 degrees	$28 °$
48570	Find the Complement	49 degrees	$49 °$
48571	Find the Complement	-60 degrees	$- 60 °$
48572	Combine	(cos(theta))/(sin(theta))+(sin(theta))/(cos(theta))	$\frac{\cos (θ)}{\sin (θ)} + \frac{\sin (θ)}{\cos (θ)}$
48573	Convert to a Simplified Fraction	square root of 51	$\sqrt{51}$
48574	Convert to a Simplified Fraction	square root of 42	$\sqrt{42}$
48575	Convert to a Simplified Fraction	square root of 162	$\sqrt{162}$
48576	Find the Domain and Range	f(x)=120/(x^2)	$f (x) = \frac{120}{x^{2}}$
48577	Find the Domain and Range	f(x)=1/2cot(x)	$f (x) = \frac{1}{2} \cot (x)$
48578	Find the Domain and Range	F(x)=2cos(x-3)	$F (x) = 2 \cos (x - 3)$
48579	Find the Sine Given the Point	(( square root of 7)/4,3/4)	$(\frac{\sqrt{7}}{4}, \frac{3}{4})$
48580	Find the Sine Given the Point	(8/17,-15/17)	$(\frac{8}{17}, - \frac{15}{17})$
48581	Find the Sine Given the Point	(-7,-8)	$(- 7, - 8)$
48582	Find the Sine Given the Point	(-2,- square root of 5)	$(- 2, - \sqrt{5})$
48583	Simplify/Condense	1/2 log of x- log of y	$\frac{1}{2} \log (x) - \log (y)$
48584	Find the Center and Radius	x^2+y^2+8x-14y+56=0	$x^{2} + y^{2} + 8 x - 14 y + 56 = 0$
48585	Find the Center and Radius	x^2+y^2+12x+14y+69=0	$x^{2} + y^{2} + 12 x + 14 y + 69 = 0$
48586	Find the Center and Radius	x^2+y^2+14x+10y-7=0	$x^{2} + y^{2} + 14 x + 10 y - 7 = 0$
48587	Find the Center and Radius	9=2y-y^2-6x-x^2	$9 = 2 y - y^{2} - 6 x - x^{2}$
48588	Simplify/Condense	sin(theta)+cos(theta)cot(theta)	$\sin (θ) + \cos (θ) \cot (θ)$
48589	Find the Asymptotes	(y^2)/9-(x^2)/36=1	$\frac{y^{2}}{9} - \frac{x^{2}}{36} = 1$
48590	Find Where Increasing/Decreasing	y=sin(x)	$y = \sin (x)$
48591	Solve for A	sin(A)=0.29	$\sin (A) = 0.29$
48592	Solve for a	tan(a)=-1.64	$\tan (a) = - 1.64$
48593	Solve for A	A=pi*6^2	$A = π \cdot 6^{2}$
48594	Solve for a	a=pi(6)^2	$a = π {(6)}^{2}$
48595	Solve for a	a^2+21^2=29^2	$a^{2} + 21^{2} = 29^{2}$
48596	Solve for r	24pi=r(pi/4)	$24 π = r (\frac{π}{4})$
48597	Solve for m	1/m=(m-34)/(2m^2)	$\frac{1}{m} = \frac{m - 34}{2 m^{2}}$
48598	Solve for j	7j^2+2j-9=0	$7 j^{2} + 2 j - 9 = 0$
48599	Solve for c	9^2+40^2=c^2	$9^{2} + 40^{2} = c^{2}$
48600	Solve for c	21^2+28^2=c^2	$21^{2} + 28^{2} = c^{2}$