Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48101	Verify the Identity	tan(theta)^2cos(theta)^2=1/(csc(theta)^2)	$\tan^{2} (θ) \cos^{2} (θ) = \frac{1}{\csc^{2} (θ)}$
48102	Find Trig Functions Using Triangle Sides	sin(x)=4/5 , cos(x)=3/5	$\sin (x) = \frac{4}{5}$ , $\cos (x) = \frac{3}{5}$
48103	Convert from Degrees to Radians	1000 degrees	$1000 °$
48104	Verify the Identity	(sec(theta)^2-1)/(sec(theta)^2)=sin(theta)^2	$\frac{\sec^{2} (θ) - 1}{\sec^{2} (θ)} = \sin^{2} (θ)$
48105	Expand the Trigonometric Expression	2csc(2x)	$2 \csc (2 x)$
48106	Convert from Degrees to Radians	82 degrees	$82 °$
48107	Convert to a Decimal	( square root of 3)/3	$\frac{\sqrt{3}}{3}$
48108	Convert to Polar Coordinates	(-5,pi/4)	$(- 5, \frac{π}{4})$
48109	Convert to Polar Coordinates	(0,- square root of 3)	$(0, - \sqrt{3})$
48110	Factor	x^4-4x^2-4x+8	$x^{4} - 4 x^{2} - 4 x + 8$
48111	Convert to a Decimal	-( square root of 3)/2	$- \frac{\sqrt{3}}{2}$
48112	Find All Complex Solutions	x^3-2=0	$x^{3} - 2 = 0$
48113	Expand the Trigonometric Expression	cos(2x)-sin(2x)	$\cos (2 x) - \sin (2 x)$
48114	Multiply	5*180	$5 \cdot 180$
48115	Convert from Degrees to Radians	-144 degrees	$- 144 °$
48116	Convert from Degrees to Radians	107 degrees	$107 °$
48117	Verify the Identity	(cos(theta))(csc(theta))=cot(theta)	$(\cos (θ)) (\csc (θ)) = \cot (θ)$
48118	Verify the Identity	1-tan(x)tan(y)=(cos(x+y))/(cos(x)cos(y))	$1 - \tan (x) \tan (y) = \frac{\cos (x + y)}{\cos (x) \cos (y)}$
48119	Verify the Identity	csc(theta)-cos(theta)cot(theta)=sin(theta)	$\csc (θ) - \cos (θ) \cot (θ) = \sin (θ)$
48120	Convert to Rectangular	-1+i square root of 3	$- 1 + i \sqrt{3}$
48121	Convert from Degrees to Radians	-200 degrees	$- 200 °$
48122	Solve the Triangle	tri{4}{}{}{}{3}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \\ c = \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48123	Solve for n	9^(3n+2)=81^(-3n)	$9^{3 n + 2} = 81^{- 3 n}$
48124	Find the Trig Value	sin(theta)=8/17	$\sin (θ) = \frac{8}{17}$
48125	Verify the Identity	(csc(theta)-1)(csc(theta)+1)=cot(theta)^2	$(\csc (θ) - 1) (\csc (θ) + 1) = \cot^{2} (θ)$
48126	Verify the Identity	(cos(x))(tan(x))(csc(x))=1	$(\cos (x)) (\tan (x)) (\csc (x)) = 1$
48127	Verify the Identity	13sec(theta)sin(theta)=13cot(theta)tan(theta)^2	$13 \sec (θ) \sin (θ) = 13 \cot (θ) \tan^{2} (θ)$
48128	Convert to Rectangular	6(cos(330 degrees )+isin(330 degrees ))	$6 (\cos (330 °) + i \sin (330 °))$
48129	Convert to Rectangular	4(cos(120 degrees )+isin(120 degrees ))	$4 (\cos (120 °) + i \sin (120 °))$
48130	Convert to Rectangular	2(cos(45 degrees )+isin(45 degrees ))	$2 (\cos (45 °) + i \sin (45 °))$
48131	Convert to Rectangular Coordinates	(4,90 degrees )	$(4, 90 °)$
48132	Convert to Rectangular Coordinates	(7,120 degrees )	$(7, 120 °)$
48133	Convert to Rectangular Coordinates	(9,120 degrees )	$(9, 120 °)$
48134	Convert from Degrees to Radians	theta=(23pi)/20	$θ = \frac{23 π}{20}$
48135	Convert from Degrees to Radians	177 degrees	$177 °$
48136	Find the Other Trig Values in Quadrant III	cos(theta)=-2/3	$\cos (θ) = - \frac{2}{3}$
48137	Expand the Trigonometric Expression	sin(90 degrees -theta)	$\sin (90 ° - θ)$
48138	Convert to Rectangular	3(cos(30 degrees )+isin(30 degrees ))	$3 (\cos (30 °) + i \sin (30 °))$
48139	Convert from Degrees to Radians	134 degrees	$134 °$
48140	Verify the Identity	1/(1-sin(theta))+1/(1+sin(theta))=2cos(theta)^2	$\frac{1}{1 - \sin (θ)} + \frac{1}{1 + \sin (θ)} = 2 \cos^{2} (θ)$
48141	Verify the Identity	9(cot(theta)^2)/(csc(theta))sec(theta)^2=9tan(theta)cos(theta)csc(theta)^2	$9 \frac{\cot^{2} (θ)}{\csc (θ)} \sec^{2} (θ) = 9 \tan (θ) \cos (θ) \csc^{2} (θ)$
48142	Verify the Identity	sec(x)^2-tan(x)^2=tan(x)cot(x)	$\sec^{2} (x) - \tan^{2} (x) = \tan (x) \cot (x)$
48143	Find Trig Functions Using Identities	(-7,24)	$(- 7, 24)$
48144	Multiply	180*2	$180 \cdot 2$
48145	Find the Complement	(2pi)/5	$\frac{2 π}{5}$
48146	Find the Trig Value	sin(theta)=15/17	$\sin (θ) = \frac{15}{17}$
48147	Solve the Triangle	tri{12}{}{}{}{5}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48148	Solve the Triangle	tri{15}{}{}{}{8}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 15 \\ c = \\ a = & 8 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48149	Convert from Degrees to Radians	theta=(8pi)/9	$θ = \frac{8 π}{9}$
48150	Convert to Rectangular	4(cos(60 degrees )+isin(60 degrees ))	$4 (\cos (60 °) + i \sin (60 °))$
48151	Convert to Rectangular	4(cos(30 degrees )+isin(30 degrees ))	$4 (\cos (30 °) + i \sin (30 °))$
48152	Convert from Degrees to Radians	-142 degrees	$- 142 °$
48153	Convert from Degrees to Radians	104 degrees	$104 °$
48154	Convert from Degrees to Radians	theta=300 degrees	$θ = 300 °$
48155	Find the Other Trig Values in Quadrant III	cos(theta_1)=-13/30	$\cos (θ_{1}) = - \frac{13}{30}$
48156	Find the Domain and Range	y=cos(x+1)	$y = \cos (x + 1)$
48157	Solve for t	140=(165-70)e^(-0.046(t))+70	$140 = (165 - 70) e^{- 0.046 (t)} + 70$
48158	Solve for y	cos(21 degrees )=9/y	$\cos (21 °) = \frac{9}{y}$
48159	Convert to Rectangular	(5(cos(80 degrees )+isin(80 degrees )))^3	${(5 (\cos (80 °) + i \sin (80 °)))}^{3}$
48160	Convert to Rectangular	(5(cos(30 degrees )+isin(30 degrees )))^4	${(5 (\cos (30 °) + i \sin (30 °)))}^{4}$
48161	Convert to Rectangular	z=4(cos(120 degrees )+isin(120 degrees ))	$z = 4 (\cos (120 °) + i \sin (120 °))$
48162	Find the Trig Value	sin(theta)=3/4	$\sin (θ) = \frac{3}{4}$
48163	Convert from Degrees to Radians	theta=310 degrees	$θ = 310 °$
48164	Convert from Degrees to Radians	theta=100 degrees	$θ = 100 °$
48165	Find the Other Trig Values in Quadrant IV	sec(theta)=5/3	$\sec (θ) = \frac{5}{3}$
48166	Solve the Triangle	tri{6}{}{}{}{8}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 6 \\ c = \\ a = & 8 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48167	Convert from Degrees to Radians	theta=35 degrees	$θ = 35 °$
48168	Convert from Degrees to Radians	128 degrees	$128 °$
48169	Convert from Degrees to Radians	243 degrees	$243 °$
48170	Simplify	(12,-5)*(5,6)	$(12, - 5) \cdot (5, 6)$
48171	Solve the Triangle	tri{}{}{9}{}{5}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 9 \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48172	Find All Complex Solutions	cos(theta)-tan(theta)cos(theta)=0	$\cos (θ) - \tan (θ) \cos (θ) = 0$
48173	Find All Complex Solutions	sin(theta)=1	$\sin (θ) = 1$
48174	Convert from Degrees to Radians	192 degrees	$192 °$
48175	Convert from Degrees to Radians	101 degrees	$101 °$
48176	Convert from Degrees to Radians	theta=270 degrees	$θ = 270 °$
48177	Find the Degree	theta=(29pi)/15	$θ = \frac{29 π}{15}$
48178	Convert from Degrees to Radians	sin(theta)=1/2	$\sin (θ) = \frac{1}{2}$
48179	Convert from Degrees to Radians	theta=(9pi)/5	$θ = \frac{9 π}{5}$
48180	Factor	sin(theta)^2-2sin(theta)-3	$\sin^{2} (θ) - 2 \sin (θ) - 3$
48181	Find the Domain and Range	y=3cot(x)	$y = 3 \cot (x)$
48182	Find the Domain and Range	y=4sin(x)	$y = 4 \sin (x)$
48183	Solve for A	cos(A)=-0.39	$\cos (A) = - 0.39$
48184	Factor	x^2+3xy+3x^3+y	$x^{2} + 3 x y + 3 x^{3} + y$
48185	Convert from Degrees to Radians	theta=(29pi)/15	$θ = \frac{29 π}{15}$
48186	Convert from Degrees to Radians	(3pi)/5	$\frac{3 π}{5}$
48187	Convert from Degrees to Radians	theta=228 degrees	$θ = 228 °$
48188	Convert from Degrees to Radians	222 degrees	$222 °$
48189	Convert from Degrees to Radians	-5 degrees	$- 5 °$
48190	Find the Domain and Range	y=3sin(2x)	$y = 3 \sin (2 x)$
48191	Find the Domain and Range	y=3cos(x)	$y = 3 \cos (x)$
48192	Solve the Triangle	tri{33.2}{}{}{61}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 33.2 \\ c = \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 61 \\ C = & 90 \end{matrix} \end{matrix}$
48193	Solve for b	pi/2=(2pi)/b	$\frac{π}{2} = \frac{2 π}{b}$
48194	Solve for v	v=9i-12j	$v = 9 i - 12 j$
48195	Find All Complex Solutions	sec(x)=2	$\sec (x) = 2$
48196	Solve the Triangle	tri{15}{}{17}{}{8}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 15 \\ c = & 17 \\ a = & 8 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48197	Find the Other Trig Values in Quadrant IV	sin(theta_1)=-13/85	$\sin (θ_{1}) = - \frac{13}{85}$
48198	Find the Domain and Range	y=2tan(3x-pi)	$y = 2 \tan (3 x - π)$
48199	Identify the Polar Equation	r=4sin(8theta)	$r = 4 \sin (8 θ)$
48200	Solve for y	square root of y=2-y	$\sqrt{y} = 2 - y$