Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48301	Solve the Triangle	tri{20}{}{25}{}{15}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 20 \\ c = & 25 \\ a = & 15 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48302	Solve the Triangle	tri{5}{}{7}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = & 7 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48303	Solve the Triangle	tri{}{30}{}{60}{10}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 10 \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
48304	Find the Sine Given the Point	(2, square root of 3)	$(2, \sqrt{3})$
48305	Find the Sine Given the Point	(20,48)	$(20, 48)$
48306	Convert Degrees, Minutes, Seconds to Decimal Degrees	270 degrees	$270 °$
48307	Convert Degrees, Minutes, Seconds to Decimal Degrees	180 degrees	$180 °$
48308	Find Trig Functions Using Triangle Sides	theta=-(3pi)/4	$θ = - \frac{3 π}{4}$
48309	Convert to Degrees, Minutes, and Seconds	278.24 degrees	$278.24 °$
48310	Find the Asymptotes	y=tan(2theta)	$y = \tan (2 θ)$
48311	Solve for A	tan(A)=73.7/39.4	$\tan (A) = \frac{73.7}{39.4}$
48312	Solve for a	cos(2a)=1/4	$\cos (2 a) = \frac{1}{4}$
48313	Solve for r	173=pi(r)^2	$173 = π {(r)}^{2}$
48314	Solve for t	0.4=cos(2pit)	$0.4 = \cos (2 π t)$
48315	Solve for y	3/2arccos(y/8)=pi	$\frac{3}{2} \cos^{-1} (\frac{y}{8}) = π$
48316	Convert to Polar Coordinates	(-(3 square root of 2)/2,(3 square root of 2)/2)	$(- \frac{3 \sqrt{2}}{2}, \frac{3 \sqrt{2}}{2})$
48317	Convert to Polar Coordinates	(6 square root of 3,6)	$(6 \sqrt{3}, 6)$
48318	Convert to Polar Coordinates	(5,pi/6)	$(5, \frac{π}{6})$
48319	Convert to Polar Coordinates	(4,pi)	$(4, π)$
48320	Convert to Polar Coordinates	(4,pi/2)	$(4, \frac{π}{2})$
48321	Convert to Polar Coordinates	(4,(2pi)/3)	$(4, \frac{2 π}{3})$
48322	Find the Cosine Given the Point	(-2,7)	$(- 2, 7)$
48323	Factor over the Complex Numbers	sin(arctan(w))	$\sin (\arctan (w))$
48324	Find the Domain	cot(theta)=cos(theta)csc(theta)	$\cot (θ) = \cos (θ) \csc (θ)$
48325	Find the Domain	y=1/(sin(x))	$y = \frac{1}{\sin (x)}$
48326	Find Amplitude, Period, and Phase Shift	4sin(2x)	$4 \sin (2 x)$
48327	Evaluate Using the Given Value	t=atan(theta) , square root of 1/(t^2+a^2)	$t = a \tan (θ)$ , $\sqrt{\frac{1}{t^{2} + a^{2}}}$
48328	Find the Tangent Given the Point	(35/37,-12/37)	$(\frac{35}{37}, - \frac{12}{37})$
48329	Find Amplitude, Period, and Phase Shift	f(x)=-6sin(3pix+4)-2	$f (x) = - 6 \sin (3 π x + 4) - 2$
48330	Find the Maximum/Minimum Value	f(x)=7cos(x)	$f (x) = 7 \cos (x)$
48331	Find Trig Functions Using Identities	(7/25,-24/25)	$(\frac{7}{25}, - \frac{24}{25})$
48332	Find Trig Functions Using Identities	(-10,24)	$(- 10, 24)$
48333	Find Trig Functions Using Identities	tan(theta)^2	$\tan^{2} (θ)$
48334	Find Trig Functions Using Identities	1-2sin(2theta)^2	$1 - 2 \sin^{2} (2 θ)$
48335	Convert to a Percentage	8/30	$\frac{8}{30}$
48336	Identify the Polar Equation	z=(-5 square root of 3)/2+5/2i	$z = \frac{- 5 \sqrt{3}}{2} + \frac{5}{2} i$
48337	Find the x and y Intercepts	y=sin(x)	$y = \sin (x)$
48338	Find the Supplement	98 degrees	$98 °$
48339	Find Three Ordered Pair Solutions	theta=pi/2	$θ = \frac{π}{2}$
48340	Write in Standard Form	square root of 2	$\sqrt{2}$
48341	Solve the Triangle	tri{}{60}{}{30}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 60 \\ B = & 30 \\ C = & 90 \end{matrix} \end{matrix}$
48342	Solve the Triangle	tri{}{45}{10}{45}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = & 45 \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
48343	Solve the Triangle	tri{}{30}{18}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 18 \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
48344	Solve by Substitution	x-2y=0 , x^2+y^2=125	$x - 2 y = 0$ , $x^{2} + y^{2} = 125$
48345	Solve the Triangle	tri{7}{}{}{}{3}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48346	Solve the Triangle	tri{12}{}{37}{}{35}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = & 37 \\ a = & 35 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48347	Solve the Triangle	tri{24}{}{25}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 24 \\ c = & 25 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48348	Solve the Triangle	tri{24}{}{25}{}{7}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 24 \\ c = & 25 \\ a = & 7 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48349	Solve the Triangle	tri{9}{}{6}{}{14}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 9 \\ c = & 6 \\ a = & 14 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48350	Simplify/Condense	square root of ((1-cos(theta))(1+cos(theta)))/(cos(theta)^2)	$\sqrt{\frac{(1 - \cos (θ)) (1 + \cos (θ))}{\cos^{2} (θ)}}$
48351	Find the Center and Radius	(x+14)^2+(y+8)^2=121	${(x + 14)}^{2} + {(y + 8)}^{2} = 121$
48352	Find the Center and Radius	x^2+y^2-12x+6y-19=0	$x^{2} + y^{2} - 12 x + 6 y - 19 = 0$
48353	Find the Sine Given the Point	p=(( square root of 3)/2,-1/2)	$p = (\frac{\sqrt{3}}{2}, - \frac{1}{2})$
48354	Find the Sine Given the Point	(3, square root of 3)	$(3, \sqrt{3})$
48355	Find the Sine Given the Point	(-1, square root of 3)	$(- 1, \sqrt{3})$
48356	Find All Complex Solutions	sin(x)+cos(2x)=1	$\sin (x) + \cos (2 x) = 1$
48357	Convert Degrees, Minutes, Seconds to Decimal Degrees	38 degrees 25'	$38 ° 25'$
48358	Convert Degrees, Minutes, Seconds to Decimal Degrees	42 degrees 40'	$42 ° 40'$
48359	Convert Degrees, Minutes, Seconds to Decimal Degrees	82 degrees 15'	$82 ° 15'$
48360	Write the Fraction in Simplest Form	3.1((5pi)/3)	$3.1 (\frac{5 π}{3})$
48361	Solve for y	square root of 1/2y+7=5	$\sqrt{\frac{1}{2} y + 7} = 5$
48362	Solve for y	(3/5)^2+y^2=1	${(\frac{3}{5})}^{2} + y^{2} = 1$
48363	Solve for t	t=-100 degrees	$t = - 100 °$
48364	Solve for s	tan(s)=( square root of 3)/3	$\tan (s) = \frac{\sqrt{3}}{3}$
48365	Solve for b	b/(sin(88.1 degrees ))=648/(sin(0.8 degrees ))	$\frac{b}{\sin (88.1 °)} = \frac{648}{\sin (0.8 °)}$
48366	Solve for c	21^2+20^2=c^2	$21^{2} + 20^{2} = c^{2}$
48367	Find the Cosine Given the Point	( square root of 7,3)	$(\sqrt{7}, 3)$
48368	Convert to Polar Coordinates	(5 square root of 3,15)	$(5 \sqrt{3}, 15)$
48369	Convert to Polar Coordinates	(3,(5pi)/3)	$(3, \frac{5 π}{3})$
48370	Convert to Polar Coordinates	(2,-pi/4)	$(2, - \frac{π}{4})$
48371	Convert to Polar Coordinates	(-2,pi/6)	$(- 2, \frac{π}{6})$
48372	Convert to Polar Coordinates	(-15,5 square root of 3)	$(- 15, 5 \sqrt{3})$
48373	Find the x and y Intercepts	y=tan(x)	$y = \tan (x)$
48374	Find the Vertex	y=-1/4x^2+4x-19	$y = - \frac{1}{4} x^{2} + 4 x - 19$
48375	Find the Tangent Given the Point	(20,48)	$(20, 48)$
48376	Identify the Polar Equation	z=3-3i	$z = 3 - 3 i$
48377	Identify the Polar Equation	r=2/(1-cos(theta))	$r = \frac{2}{1 - \cos (θ)}$
48378	Find Amplitude, Period, and Phase Shift	f(t)=1/2sin(3t)	$f (t) = \frac{1}{2} \sin (3 t)$
48379	Find Amplitude, Period, and Phase Shift	f(t)=3(sin(t-pi/4)-4)	$f (t) = 3 (\sin (t - \frac{π}{4}) - 4)$
48380	Find Amplitude, Period, and Phase Shift	f(x)=-1/2sin(3x-2pi)	$f (x) = - \frac{1}{2} \sin (3 x - 2 π)$
48381	Find Amplitude, Period, and Phase Shift	f(t)=5tan(2t)	$f (t) = 5 \tan (2 t)$
48382	Find Amplitude, Period, and Phase Shift	f(x)=2cos(pix)	$f (x) = 2 \cos (π x)$
48383	Find Amplitude, Period, and Phase Shift	h(x)=5sin(4x-2)-3	$h (x) = 5 \sin (4 x - 2) - 3$
48384	Write in Exponential Form	log base 18 of 324=2	$\log_{18} (324) = 2$
48385	Find the Degree	theta=300 degrees	$θ = 300 °$
48386	Find Trig Functions Using Identities	sin(2x)	$\sin (2 x)$
48387	Find Trig Functions Using Identities	cos(theta)-tan(theta)cos(theta)=0	$\cos (θ) - \tan (θ) \cos (θ) = 0$
48388	Find Trig Functions Using Identities	sin(theta)=-3/5	$\sin (θ) = - \frac{3}{5}$
48389	Find Trig Functions Using Identities	(sin(theta))/(1+sin(theta))-(sin(theta))/(1-sin(theta))	$\frac{\sin (θ)}{1 + \sin (θ)} - \frac{\sin (θ)}{1 - \sin (θ)}$
48390	Find Trig Functions Using Identities	(-15,8)	$(- 15, 8)$
48391	Find the x and y Intercepts	f(x)=-3x-5	$f (x) = - 3 x - 5$
48392	Solve the Triangle	tri{8}{}{9}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 8 \\ c = & 9 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48393	Solve the Triangle	tri{9}{}{}{}{6}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 9 \\ c = \\ a = & 6 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48394	Solve the Triangle	tri{21}{}{29}{}{20}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 21 \\ c = & 29 \\ a = & 20 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48395	Solve the Triangle	tri(23)()()()(34 degrees )(90 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 23 \\ c = \\ a = & 34 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48396	Solve the Triangle	tri{20}{}{29}{}{21}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 20 \\ c = & 29 \\ a = & 21 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48397	Solve the Triangle	tri{15}{}{25}{}{20}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 15 \\ c = & 25 \\ a = & 20 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48398	Solve the Triangle	tri{7}{}{9}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = & 9 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48399	Solve the Triangle	tri(6 square root of 3)(30)()(60)()(90)	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 6 \sqrt{3} \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
48400	Solve the Triangle	tri{}{45}{9}{45}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 9 \\ a = \end{matrix} & \begin{matrix} A = & 45 \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$