Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48601	Solve for b	8^2+b^2=9^2	$8^{2} + b^{2} = 9^{2}$
48602	Solve for b	9^2+b^2=41^2	$9^{2} + b^{2} = 41^{2}$
48603	Solve for a	sec(2a)=5.5	$\sec (2 a) = 5.5$
48604	Solve for b	(2pi)/b=25/2	$\frac{2 π}{b} = \frac{25}{2}$
48605	Solve for s	cos(s)=1/2	$\cos (s) = \frac{1}{2}$
48606	Solve for t	0.75=cos(2pit)	$0.75 = \cos (2 π t)$
48607	Solve for t	1000=20(2)^t	$1000 = 20 {(2)}^{t}$
48608	Solve for t	10000=22500*10^(-t/12)	$10000 = 22500 \cdot 10^{- \frac{t}{12}}$
48609	Solve for r	rcos(theta)=4	$r \cos (θ) = 4$
48610	Solve for r	rsin(theta)=2	$r \sin (θ) = 2$
48611	Solve for t	462(t)=13t^2-73t	$462 (t) = 13 t^{2} - 73 t$
48612	Solve for t	-4cos(t)=-3	$- 4 \cos (t) = - 3$
48613	Solve for t	150=-16t^2+118t+4	$150 = - 16 t^{2} + 118 t + 4$
48614	Solve for t	V=cos(2pit)	$V = \cos (2 π t)$
48615	Solve for v	v=-10i+24j	$v = - 10 i + 24 j$
48616	Solve for y	y=5tan(54 degrees )	$y = 5 \tan (54 °)$
48617	Solve for y	y = plus or minus ( square root of 5)/3	$y = \pm \frac{\sqrt{5}}{3}$
48618	Solve for y	13^y=21	$13^{y} = 21$
48619	Find All Complex Solutions	x^4+8=0	$x^{4} + 8 = 0$
48620	Find All Complex Solutions	sin(x)^2-cos(x)^2=0	$\sin^{2} (x) - \cos^{2} (x) = 0$
48621	Convert Degrees, Minutes, Seconds to Decimal Degrees	38 degrees 11'	$38 ° 11'$
48622	Convert Degrees, Minutes, Seconds to Decimal Degrees	313 degrees 44'+271 degrees 56'	$313 ° 44' + 271 ° 56'$
48623	Convert Degrees, Minutes, Seconds to Decimal Degrees	45 degrees 30'	$45 ° 30'$
48624	Convert Degrees, Minutes, Seconds to Decimal Degrees	16 degrees 55'	$16 ° 55'$
48625	Convert Degrees, Minutes, Seconds to Decimal Degrees	30 degrees 44'	$30 ° 44'$
48626	Convert Degrees, Minutes, Seconds to Decimal Degrees	23 degrees 50'	$23 ° 50'$
48627	Convert Degrees, Minutes, Seconds to Decimal Degrees	85 degrees 47'	$85 ° 47'$
48628	Convert Degrees, Minutes, Seconds to Decimal Degrees	90 degrees -1 degrees 42'	$90 ° - 1 ° 42'$
48629	Convert Degrees, Minutes, Seconds to Decimal Degrees	58 degrees 20'	$58 ° 20'$
48630	Convert Degrees, Minutes, Seconds to Decimal Degrees	62 degrees 18'+21 degrees 41'	$62 ° 18' + 21 ° 41'$
48631	Find Trig Functions Using Triangle Sides	theta=300 degrees	$θ = 300 °$
48632	Convert Degrees, Minutes, Seconds to Decimal Degrees	1 degree 1'1''	$1 ° 1' 1''$
48633	Convert Degrees, Minutes, Seconds to Decimal Degrees	121 degrees 22'36''	$121 ° 22' 36''$
48634	Find the Cosine Given the Point	(-2,6)	$(- 2, 6)$
48635	Find the Cosine Given the Point	(2, square root of 5)	$(2, \sqrt{5})$
48636	Find the Cosine Given the Point	( square root of 5,-2)	$(\sqrt{5}, - 2)$
48637	Find the Cosine Given the Point	(- square root of 7,3)	$(- \sqrt{7}, 3)$
48638	Find the Cosine Given the Point	(8/17,-15/17)	$(\frac{8}{17}, - \frac{15}{17})$
48639	Find Amplitude, Period, and Phase Shift	-5sin(7t-1)	$- 5 \sin (7 t - 1)$
48640	Find Amplitude, Period, and Phase Shift	4tan(x)+9	$4 \tan (x) + 9$
48641	Find Amplitude, Period, and Phase Shift	3cos(1/3t-(5pi)/6)	$3 \cos (\frac{1}{3} t - \frac{5 π}{6})$
48642	Plot	theta=pi/2	$θ = \frac{π}{2}$
48643	Plot	pi/4	$\frac{π}{4}$
48644	Find Amplitude, Period, and Phase Shift	-sin(8x-3)+5	$- \sin (8 x - 3) + 5$
48645	Find Amplitude, Period, and Phase Shift	1/3cos(72x+90)	$\frac{1}{3} \cos (72 x + 90)$
48646	Find Amplitude, Period, and Phase Shift	-100sin(50t-20)	$- 100 \sin (50 t - 20)$
48647	Find Amplitude, Period, and Phase Shift	10sin(pi/6x-pi)+34	$10 \sin (\frac{π}{6} x - π) + 34$
48648	Find Amplitude, Period, and Phase Shift	2cos(2t-pi/4)+1	$2 \cos (2 t - \frac{π}{4}) + 1$
48649	Find Amplitude, Period, and Phase Shift	2sin(1/2x)	$2 \sin (\frac{1}{2} x)$
48650	Expand Using De Moivre's Theorem	( square root of 2(cos(15 degrees )+isin(15 degrees )))^6	${(\sqrt{2} (\cos (15 °) + i \sin (15 °)))}^{6}$
48651	Find the Number of Possibilities	2 choose 0	${}_{2}C_{0}$
48652	Find the Equation of the Circle	theta=(4pi)/3	$θ = \frac{4 π}{3}$
48653	Find the Foci	(y^2)/25-(x^2)/36=1	$\frac{y^{2}}{25} - \frac{x^{2}}{36} = 1$
48654	Find the Foci	(x^2)/256+(y^2)/400=1	$\frac{x^{2}}{256} + \frac{y^{2}}{400} = 1$
48655	Determine if Odd, Even, or Neither	g(x)=2x^5-7x^3+4x	$g (x) = 2 x^{5} - 7 x^{3} + 4 x$
48656	Determine if Odd, Even, or Neither	f(x)=1-x^3	$f (x) = 1 - x^{3}$
48657	Find the Degree	theta=120 degrees	$θ = 120 °$
48658	Find the Degree	theta=(3pi)/5	$θ = \frac{3 π}{5}$
48659	Find the Degree	theta=(133pi)/72	$θ = \frac{133 π}{72}$
48660	Find the Degree	sec(theta)=- square root of 2	$\sec (θ) = - \sqrt{2}$
48661	Find the Degree	sin(theta)=1/4	$\sin (θ) = \frac{1}{4}$
48662	Find the Degree	sin(theta)=3/4	$\sin (θ) = \frac{3}{4}$
48663	Find the Vertex	x=1/36y^2	$x = \frac{1}{36} y^{2}$
48664	Solve the Triangle	a=11 , b=12 , c=17	$a = 11$ , $b = 12$ , $c = 17$
48665	Find the x and y Intercepts	y=1/2sin(3theta)	$y = \frac{1}{2} \sin (3 θ)$
48666	Find the x and y Intercepts	y=-( square root of 5)/3	$y = - \frac{\sqrt{5}}{3}$
48667	Find the x and y Intercepts	y=2x^2-3x+1	$y = 2 x^{2} - 3 x + 1$
48668	Find the Roots (Zeros)	F(X)=-sin(2x)+cos(x)	$F (X) = - S I n (2 x) + \cos (x)$
48669	Add	180+90	$180 + 90$
48670	Evaluate Using the Given Value	sin(a+b) , a=-3/5 , b=-5/13	$\sin (a + b)$ , $a = - \frac{3}{5}$ , $b = - \frac{5}{13}$
48671	Evaluate the Function	f(2n)=(6+4(2n))/(5+2n)	$f (2 n) = \frac{6 + 4 (2 n)}{5 + 2 n}$
48672	Solve over the Interval	cos(2x)=1/2[0,2pi)	$\cos (2 x) = \frac{1}{2} [0, 2 π)$
48673	Find the Tangent Given the Point	(5,- square root of 11)	$(5, - \sqrt{11})$
48674	Find the Tangent Given the Point	(-20,21)	$(- 20, 21)$
48675	Find the Tangent Given the Point	(9,3)	$(9, 3)$
48676	Find the Tangent Given the Point	(-( square root of 21)/5,-2/5)	$(- \frac{\sqrt{21}}{5}, - \frac{2}{5})$
48677	Find the Tangent Given the Point	(- square root of 5,2)	$(- \sqrt{5}, 2)$
48678	Find the Tangent Given the Point	(- square root of 5,-2)	$(- \sqrt{5}, - 2)$
48679	Find the Tangent Given the Point	(-40/41,-9/41)	$(- \frac{40}{41}, - \frac{9}{41})$
48680	Find the Tangent Given the Point	(35/37,12/37)	$(\frac{35}{37}, \frac{12}{37})$
48681	Find Amplitude, Period, and Phase Shift	f(x)=-2sin(3pitheta)	$f (x) = - 2 \sin (3 π θ)$
48682	Find Amplitude, Period, and Phase Shift	f(x)=3cos(theta/2)	$f (x) = 3 \cos (\frac{θ}{2})$
48683	Find Amplitude, Period, and Phase Shift	f(x)=3cos(2x)+2	$f (x) = 3 \cos (2 x) + 2$
48684	Find Amplitude, Period, and Phase Shift	f(x)=5tan(2x-pi)	$f (x) = 5 \tan (2 x - π)$
48685	Find Amplitude, Period, and Phase Shift	f(x)=7cos(x+3)	$f (x) = 7 \cos (x + 3)$
48686	Find Amplitude, Period, and Phase Shift	f(t)=1/3sec(pit)	$f (t) = \frac{1}{3} \sec (π t)$
48687	Find the Maximum/Minimum Value	g(x)=4cos(2x-pi)-2	$g (x) = 4 \cos (2 x - π) - 2$
48688	Find the Maximum/Minimum Value	f(x)=(x+7)^2-1	$f (x) = {(x + 7)}^{2} - 1$
48689	Find All Complex Number Solutions	z=12-9i	$z = 12 - 9 i$
48690	Determine if True	log of 30 = log of 235	$\log (30) = \log (2 \cdot 3 \cdot 5)$
48691	Determine if True	cos(47 degrees )^2=(1+cos(94 degrees ))/2	$\cos^{2} (47 °) = \frac{1 + \cos (94 °)}{2}$
48692	Determine if True	cos(pi/4)cos(pi/6)=1/2(cos(pi/12)+cos((5pi)/12))	$\cos (\frac{π}{4}) \cos (\frac{π}{6}) = \frac{1}{2} (\cos (\frac{π}{12}) + \cos (\frac{5 π}{12}))$
48693	Identify the Polar Equation	r=3/(1+cos(theta))	$r = \frac{3}{1 + \cos (θ)}$
48694	Find the x and y Intercepts	f(x)=7sin(x)	$f (x) = 7 \sin (x)$
48695	Find the x and y Intercepts	f(x)=4x+5	$f (x) = 4 x + 5$
48696	Find the x and y Intercepts	f(x)=40/(1+15e^(2.1x))	$f (x) = \frac{40}{1 + 15 e^{2.1 x}}$
48697	Find the x and y Intercepts	f(x)=3cos(2x)+1	$f (x) = 3 \cos (2 x) + 1$
48698	Solve the Triangle	tri{10}{}{}{}{10}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 10 \\ c = \\ a = & 10 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48699	Solve the Triangle	tri{11}{}{}{80}{}{54}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 11 \\ c = \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 80 \\ C = & 54 \end{matrix} \end{matrix}$
48700	Solve the Triangle	tri{10}{}{}{}{7}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 10 \\ c = \\ a = & 7 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$