Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48201	Solve for z	z=(-5 square root of 3)/2+5/2i	$z = \frac{- 5 \sqrt{3}}{2} + \frac{5}{2} i$
48202	Find All Complex Solutions	2sin(theta)cos(theta)+cos(theta)=0	$2 \sin (θ) \cos (θ) + \cos (θ) = 0$
48203	Find the Domain	f(x)=9/(5x+10)	$f (x) = \frac{9}{5 x + 10}$
48204	Find the Domain	f(x) = ninth root of x-2	$f (x) = \sqrt[9]{x - 2}$
48205	Convert to Polar Coordinates	(- square root of 3,3)	$(- \sqrt{3}, 3)$
48206	Solve the Triangle	tri{7}{}{25}{}{24}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = & 25 \\ a = & 24 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48207	Solve the Triangle	tri{40}{}{41}{}{9}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 40 \\ c = & 41 \\ a = & 9 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48208	Solve the Triangle	tri{3}{}{}{}{2}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 3 \\ c = \\ a = & 2 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48209	Find the Other Trig Values in Quadrant IV	sec(theta)=12/5	$\sec (θ) = \frac{12}{5}$
48210	Convert to a Simplified Fraction	square root of 128	$\sqrt{128}$
48211	Find the Domain and Range	y=5sin(x)	$y = 5 \sin (x)$
48212	Expand the Trigonometric Expression	(sin(theta)+cos(theta))^2	${(\sin (θ) + \cos (θ))}^{2}$
48213	Find the Domain	f(x)=( square root of x)/(x^2-17x+72)	$f (x) = \frac{\sqrt{x}}{x^{2} - 17 x + 72}$
48214	Find Amplitude, Period, and Phase Shift	3sin(2x-1)+4	$3 \sin (2 x - 1) + 4$
48215	Convert to Polar Coordinates	(-3,-6)	$(- 3, - 6)$
48216	Find the Other Trig Values in Quadrant IV	cos(theta)=5/6	$\cos (θ) = \frac{5}{6}$
48217	Find the Other Trig Values in Quadrant IV	sin(theta_1)=-24/25	$\sin (θ_{1}) = - \frac{24}{25}$
48218	Find Amplitude, Period, and Phase Shift	f(x)=-2sin(3theta)	$f (x) = - 2 \sin (3 θ)$
48219	Solve the Triangle	tri{12}{}{20}{}{16}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = & 20 \\ a = & 16 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48220	Solve the Triangle	tri{12}{}{15}{}{9}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = & 15 \\ a = & 9 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48221	Solve the Triangle	tri{7}{}{}{}{5}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48222	Solve the Triangle	tri{}{30}{}{60}{1}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 1 \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
48223	Find the Domain and Range	y=2cos(x)	$y = 2 \cos (x)$
48224	Expand the Trigonometric Expression	cos(90 degrees -theta)	$\cos (90 ° - θ)$
48225	Find Amplitude, Period, and Phase Shift	5cos(pix)	$5 \cos (π x)$
48226	Factor	8x^2+11x-20	$8 x^{2} + 11 x - 20$
48227	Find the Other Trig Values in Quadrant IV	cot(theta)=-4/5	$\cot (θ) = - \frac{4}{5}$
48228	Find the Other Trig Values in Quadrant IV	tan(theta)=-4/3	$\tan (θ) = - \frac{4}{3}$
48229	Find Amplitude, Period, and Phase Shift	f(t)=-2cos(3t)	$f (t) = - 2 \cos (3 t)$
48230	Find the Maximum/Minimum Value	f(x)=-3sin(x-pi)+2	$f (x) = - 3 \sin (x - π) + 2$
48231	Solve the Triangle	tri{}{}{7}{}{3}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 7 \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48232	Solve the Triangle	tri{24}{}{26}{}{10}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 24 \\ c = & 26 \\ a = & 10 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48233	Graph	f(x)=4cot(3x)	$f (x) = 4 \cot (3 x)$
48234	Determine if True	cos(pi/8)=cos((pi/4)/2)	$\cos (\frac{π}{8}) = \cos (\frac{\frac{π}{4}}{2})$
48235	Convert Degrees, Minutes, Seconds to Decimal Degrees	95 degrees 3'55''	$95 ° 3' 55''$
48236	Find All Complex Solutions	tan(theta)=( square root of 3)/3	$\tan (θ) = \frac{\sqrt{3}}{3}$
48237	Find All Complex Solutions	sec((5theta)/4)=2	$\sec (\frac{5 θ}{4}) = 2$
48238	Solve for r	s=rtheta	$s = r θ$
48239	Find the Asymptotes	y=tan((3pi)/4theta)	$y = \tan (\frac{3 π}{4} θ)$
48240	Find Amplitude, Period, and Phase Shift	8cos(5pix+(3pi)/2)-9	$8 \cos (5 π x + \frac{3 π}{2}) - 9$
48241	Convert to Degrees, Minutes, and Seconds	55.27 degrees	$55.27 °$
48242	Factor	24x^2-119x-48	$24 x^{2} - 119 x - 48$
48243	Find the Degree	sin(theta)=4/5	$\sin (θ) = \frac{4}{5}$
48244	Find Trig Functions Using Identities	sin(theta)=12/13	$\sin (θ) = \frac{12}{13}$
48245	Find the Other Trig Values in Quadrant IV	cos(theta)=3/8	$\cos (θ) = \frac{3}{8}$
48246	Find the Other Trig Values in Quadrant IV	sin(theta_1)=-10/13	$\sin (θ_{1}) = - \frac{10}{13}$
48247	Find the Sine Given the Point	(5, square root of 11)	$(5, \sqrt{11})$
48248	Solve the Triangle	tri{3}{}{4}{}{5}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 3 \\ c = & 4 \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48249	Solve the Triangle	tri{6}{}{7}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 6 \\ c = & 7 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48250	Solve the Triangle	tri{5}{30}{}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
48251	Solve the Triangle	tri{}{}{8}{}{3}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 8 \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48252	Find the Domain and Range	x^2-9y^2=900	$x^{2} - 9 y^{2} = 900$
48253	Expand the Trigonometric Expression	sin(arctan(u)+arcsin(v))	$\sin (\arctan (u) + \arcsin (v))$
48254	Solve for b	cos(b)=0.3125	$\cos (b) = 0.3125$
48255	Find All Complex Solutions	x^4=4	$x^{4} = 4$
48256	Find All Complex Solutions	tan(x)=-1	$\tan (x) = - 1$
48257	Convert to Polar Coordinates	(-12,12)	$(- 12, 12)$
48258	Find Amplitude, Period, and Phase Shift	f(t)=2sin(t)	$f (t) = 2 \sin (t)$
48259	Find Amplitude, Period, and Phase Shift	h(x)=-3cos(pix+2)-6	$h (x) = - 3 \cos (π x + 2) - 6$
48260	Find the Degree	sec(theta)=-2	$\sec (θ) = - 2$
48261	Factor	sec(theta)^2-1	$\sec^{2} (θ) - 1$
48262	Find Trig Functions Using Identities	theta=-(3pi)/4	$θ = - \frac{3 π}{4}$
48263	Find the Other Trig Values in Quadrant IV	cos(theta)=8/9	$\cos (θ) = \frac{8}{9}$
48264	Find the Other Trig Values in Quadrant IV	sin(theta)=-1/4	$\sin (θ) = - \frac{1}{4}$
48265	Find the Other Trig Values in Quadrant IV	tan(theta)=-5/12	$\tan (θ) = - \frac{5}{12}$
48266	Find the Other Trig Values in Quadrant IV	cos(theta_1)=3/5	$\cos (θ_{1}) = \frac{3}{5}$
48267	Find the Domain and Range	y=3cos(x-pi)	$y = 3 \cos (x - π)$
48268	Find the Domain and Range	y=-3cos(x)	$y = - 3 \cos (x)$
48269	Find the Domain and Range	y=-2sin(x)	$y = - 2 \sin (x)$
48270	Solve the Triangle	tri{}{}{5}{}{2}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 5 \\ a = & 2 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48271	Solve the Triangle	tri{}{30}{12}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 12 \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
48272	Solve the Triangle	tri{56}{}{65}{}{33}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 56 \\ c = & 65 \\ a = & 33 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48273	Solve the Triangle	tri{8}{}{10}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 8 \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48274	Solve the Triangle	tri{12}{}{}{}{9}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = \\ a = & 9 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48275	Solve the Triangle	tri{30}{}{34}{}{16}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 30 \\ c = & 34 \\ a = & 16 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48276	Solve the Triangle	tri{3}{30}{}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 3 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
48277	Solve the Triangle	tri{8}{45}{}{45}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 8 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 45 \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
48278	Find the Supplement	35 degrees	$35 °$
48279	Find the Domain and Range	F(x)=-4cos(2x)	$F (x) = - 4 \cos (2 x)$
48280	Expand the Trigonometric Expression	cos(x-pi/2)	$\cos (x - \frac{π}{2})$
48281	Find the Inverse	y=arcsin(3x)	$y = A r c \sin (3 x)$
48282	Solve for y	5.66/y+5.5/(4y)=4	$\frac{5.66}{y} + \frac{5.5}{4 y} = 4$
48283	Solve for y	y=arctan(7/2)	$y = \arctan (\frac{7}{2})$
48284	Solve for b	(9.9sin(86.1 degrees ))/11.2=sin(b)	$\frac{9.9 \sin (86.1 °)}{11.2} = \sin (b)$
48285	Solve for b	(2pi)/b=pi	$\frac{2 π}{b} = π$
48286	Solve for m	sin((pi/6)/2)=1/m	$\sin (\frac{\frac{π}{6}}{2}) = \frac{1}{m}$
48287	Solve for A	square root of 2sin(A)-1=0	$\sqrt{2} \sin (A) - 1 = 0$
48288	Solve for a	a^2+24^2=26^2	$a^{2} + 24^{2} = 26^{2}$
48289	Solve for a	a^2+16^2=20^2	$a^{2} + 16^{2} = 20^{2}$
48290	Find the Asymptotes	y=2tan(x/2)	$y = 2 \tan (\frac{x}{2})$
48291	Find Amplitude, Period, and Phase Shift	5sin(4x-2)-3	$5 \sin (4 x - 2) - 3$
48292	Convert to Polar Coordinates	(5,(2pi)/3)	$(5, \frac{2 π}{3})$
48293	Find Amplitude, Period, and Phase Shift	g(x)=2cos(7x+5)+1	$g (x) = 2 \cos (7 x + 5) + 1$
48294	Find Amplitude, Period, and Phase Shift	f(t)=-2sin(t-(2pi)/3)	$f (t) = - 2 \sin (t - \frac{2 π}{3})$
48295	Find Amplitude, Period, and Phase Shift	f(x)=2cos(3x+pi)	$f (x) = 2 \cos (3 x + π)$
48296	Find Trig Functions Using Identities	theta=(5pi)/3	$θ = \frac{5 π}{3}$
48297	Find Trig Functions Using Identities	1-cos(12x)	$1 - \cos (12 x)$
48298	Find Trig Functions Using Identities	sin(theta)=( square root of 7)/4 , cos(theta)=3/4	$\sin (θ) = \frac{\sqrt{7}}{4}$ , $\cos (θ) = \frac{3}{4}$
48299	Find Trig Functions Using Identities	(( square root of 2)/2,-( square root of 2)/2)	$(\frac{\sqrt{2}}{2}, - \frac{\sqrt{2}}{2})$
48300	Find Trig Functions Using Identities	(5,-12)	$(5, - 12)$