Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
51201	Solve for x in Radians	sin(x)^2-cos(x)^2=0	$\sin^{2} (x) - \cos^{2} (x) = 0$
51202	Solve for x in Radians	sec(x)^2-1=0	$\sec^{2} (x) - 1 = 0$
51203	Convert from Radians to Degrees	2/3pirad	$\frac{2}{3} π$ rad
51204	Solve for θ in Radians	cos(3theta)=-1	$\cos (3 θ) = - 1$
51205	Find the Coterminal Angle	-2pi	$- 2 π$
51206	Simplify Using Half-Angle Formula	sin(-(5pi)/12)	$\sin (- \frac{5 π}{12})$
51207	Convert from Radians to Degrees	(3pi)/2rad	$\frac{3 π}{2}$ radians
51208	Solve for x in Radians	2sin(x)=-1	$2 \sin (x) = - 1$
51209	Find the Reference Angle	arctan(( square root of 3)/3)	$\arctan (\frac{\sqrt{3}}{3})$
51210	Convert from Radians to Degrees	arccos(-1/2)	$\arccos (\frac{- 1}{2})$
51211	Convert to Trigonometric Form	cos(2x)^2	$\cos^{2} (2 x)$
51212	Solve for x in Radians	2cos(x)^2+3cos(x)+1=0	$2 \cos^{2} (x) + 3 \cos (x) + 1 = 0$
51213	Solve for x in Degrees	7cos(9x)-1=1	$7 \cos (9 x) - 1 = 1$
51214	Find the Other Trig Values in Quadrant II	cot(theta)=-3/4	$\cot (θ) = - \frac{3}{4}$
51215	Convert from Radians to Degrees	pi/9rad	$\frac{π}{9}$ rad
51216	Solve for θ in Degrees	2sin(theta)-1=0	$2 \sin (θ) - 1 = 0$
51217	Solve for θ in Radians	tan(theta)^2-1=0	$\tan^{2} (θ) - 1 = 0$
51218	Convert to Rectangular Coordinates	(3,300 degrees )	$(3, 300 °)$
51219	Convert from Radians to Degrees	3/4pirad	$\frac{3}{4} π$ rad
51220	Solve for θ in Radians	cos(theta)=1/4	$\cos (θ) = \frac{1}{4}$
51221	Find the Other Trig Values in Quadrant IV	cot(theta)=-1/5	$\cot (θ) = - \frac{1}{5}$
51222	Find the Other Trig Values in Quadrant IV	csc(theta)=-2	$\csc (θ) = - 2$
51223	Convert to Rectangular Coordinates	(6 square root of 3,(5pi)/3)	$(6 \sqrt{3}, \frac{5 π}{3})$
51224	Find the Reference Angle	cos((5pi)/6)	$\cos (\frac{5 π}{6})$
51225	Find the Other Trig Values in Quadrant II	tan(theta)=-2	$\tan (θ) = - 2$
51226	Solve for x in Radians	2cos(x)=-1	$2 \cos (x) = - 1$
51227	Find Amplitude, Period, and Phase Shift	y=7sin(theta/5-pi/3)+4	$y = 7 \sin (\frac{θ}{5} - \frac{π}{3}) + 4$
51228	Find the Reference Angle	4/3pi	$\frac{4}{3} π$
51229	Find the Reference Angle	csc((5pi)/6)	$\csc (\frac{5 π}{6})$
51230	Solve for x in Radians	-5sin(x)=-2cos(x)^2+4	$- 5 \sin (x) = - 2 \cos^{2} (x) + 4$
51231	Verify the Identity	sin(x)(1+cot(x))=sin(x)+cos(x)	$\sin (x) (1 + \cot (x)) = \sin (x) + \cos (x)$
51232	Find the Other Trig Values in Quadrant II	csc(theta)=5/4	$\csc (θ) = \frac{5}{4}$
51233	Solve for x in Radians	2cos(x)^2-3cos(x)+1=0	$2 \cos^{2} (x) - 3 \cos (x) + 1 = 0$
51234	Convert from Degrees to Radians	40deg	$40$ degrees
51235	Convert from Radians to Degrees	pi÷6	$π \div 6$
51236	Find the Coterminal Angle	-800 degrees	$- 800 °$
51237	Convert to Trigonometric Form	tan(2x)	$\tan (2 x)$
51238	Find the Reference Angle	tan(-150 degrees )	$\tan (- 150 °)$
51239	Solve for θ in Degrees	tan(theta)=12/5	$\tan (θ) = \frac{12}{5}$
51240	Convert from Radians to Degrees	(2pi)/5rad	$\frac{2 π}{5}$ rad
51241	Verify the Identity	(sec(x)^2-1)cos(x)=sin(x)^2sec(x)	$(\sec^{2} (x) - 1) \cos (x) = \sin^{2} (x) \sec (x)$
51242	Find the Reference Angle	sec(135 degrees )	$\sec (135 °)$
51243	Solve for x in Radians	sin(2x)=cos(x)	$\sin (2 x) = \cos (x)$
51244	Convert from Radians to Degrees	1.5pi Rad	$1.5 π$ Rad
51245	Find the Secant Given the Point	(0,-1)	$(0, - 1)$
51246	Solve for θ in Radians	tan(theta)^2-3=0	$\tan^{2} (θ) - 3 = 0$
51247	Solve for x in Radians	csc(x)-1=0	$\csc (x) - 1 = 0$
51248	Find Amplitude, Period, and Phase Shift	y=tan(2(x-pi/3))	$y = \tan (2 (x - \frac{π}{3}))$
51249	Convert from Radians to Degrees	arcsin(-1/2)	$\arcsin (\frac{- 1}{2})$
51250	Solve for θ in Radians	csc(theta)=-1	$\csc (θ) = - 1$
51251	Solve for θ in Radians	sin(theta)-1=-1	$\sin (θ) - 1 = - 1$
51252	Solve for θ in Radians	cos(3theta)=1	$\cos (3 θ) = 1$
51253	Solve for θ in Degrees	sin(theta)=8/17	$\sin (θ) = \frac{8}{17}$
51254	Solve for x in Radians	square root of 3csc(x)-2=0	$\sqrt{3} \csc (x) - 2 = 0$
51255	Find the Other Trig Values in Quadrant II	cot(theta)=-1	$\cot (θ) = - 1$
51256	Convert from Radians to Degrees	1/5pi	$\frac{1}{5} π$
51257	Find Amplitude, Period, and Phase Shift	y=5+3cos(4theta+(5pi)/3)	$y = 5 + 3 \cos (4 θ + \frac{5 π}{3})$
51258	Expand Using Sum/Difference Formulas	cos(pi/2+theta)	$\cos (\frac{π}{2} + θ)$
51259	Convert from Radians to Degrees	arccot(- square root of 3)	$arccot (- \sqrt{3})$
51260	Solve for x in Radians	cos(x)^3-cos(x)=0	$\cos^{3} (x) - \cos (x) = 0$
51261	Expand Using Sum/Difference Formulas	cos(90-x)	$\cos (90 - x)$
51262	Solve for θ in Degrees	cos(theta)=1/( square root of 2)	$\cos (θ) = \frac{1}{\sqrt{2}}$
51263	Solve for x in Radians	tan(x)=1/( square root of 3)	$\tan (x) = \frac{1}{\sqrt{3}}$
51264	Simplify Using Half-Angle Formula	sin(75)	$\sin (75)$
51265	Solve for θ in Degrees	sin(theta)cot(theta)-cos(theta)^2=0	$\sin (θ) \cot (θ) - \cos^{2} (θ) = 0$
51266	Find the Other Trig Values in Quadrant III	sec(theta)=-5/4	$\sec (θ) = - \frac{5}{4}$
51267	Verify the Identity	(1-sin(x))(1+sin(x))=1/(1+tan(x)^2)	$(1 - \sin (x)) (1 + \sin (x)) = \frac{1}{1 + \tan^{2} (x)}$
51268	Find the Other Trig Values in Quadrant II	sec(theta)=-3	$\sec (θ) = - 3$
51269	Solve for x in Radians	square root of 3sec(x)=-2	$\sqrt{3} \sec (x) = - 2$
51270	Solve for θ in Radians	cos(theta)-1=-1	$\cos (θ) - 1 = - 1$
51271	Find the Reference Angle	sin((11pi)/6)	$\sin (\frac{11 π}{6})$
51272	Convert from Radians to Degrees	arcsin(8/10)	$\arcsin (\frac{8}{10})$
51273	Convert to Trigonometric Form	1+sin(x)^2	$1 + \sin^{2} (x)$
51274	Find the Cotangent Given the Point	(8,6)	$(8, 6)$
51275	Solve for x in Radians	2cos(2x)-2cos(x)=0	$2 \cos (2 x) - 2 \cos (x) = 0$
51276	Find the Other Trig Values in Quadrant IV	cot(theta)=-3	$\cot (θ) = - 3$
51277	Find the Cosine Given the Point	(-1/3,(2 square root of 2)/3)	$(- \frac{1}{3}, \frac{2 \sqrt{2}}{3})$
51278	Simplify Using Half-Angle Formula	sin((7pi)/8)	$\sin (\frac{7 π}{8})$
51279	Solve for x in Radians	cos(2x)+sin(x)=0	$\cos (2 x) + \sin (x) = 0$
51280	Solve for θ in Degrees	sin(theta)=-0.35	$\sin (θ) = - 0.35$
51281	Find Amplitude, Period, and Phase Shift	y=cos((2pix)/7)	$y = \cos (\frac{2 π x}{7})$
51282	Solve for x in Radians	tan(x)-1=0	$\tan (x) - 1 = 0$
51283	Solve for θ in Degrees	tan(theta)^2+2tan(theta)=0	$\tan^{2} (θ) + 2 \tan (θ) = 0$
51284	Convert to Trigonometric Form	(tan(x)-cot(x))/(tan(x)+cot(x))	$\frac{\tan (x) - \cot (x)}{\tan (x) + \cot (x)}$
51285	Verify the Identity	(1+tan(x)^2)cos(x)=sec(x)	$(1 + \tan^{2} (x)) \cos (x) = \sec (x)$
51286	Solve for x in Radians	sec(x)^2-2=0	$\sec^{2} (x) - 2 = 0$
51287	Find the Other Trig Values in Quadrant II	tan(x)=-4/3	$\tan (x) = - \frac{4}{3}$
51288	Verify the Identity	sin(-x)+csc(x)=cot(x)cos(x)	$\sin (- x) + \csc (x) = \cot (x) \cos (x)$
51289	Solve for θ in Degrees	2cos(theta)- square root of 3=0	$2 \cos (θ) - \sqrt{3} = 0$
51290	Verify the Identity	1/(sin(x))-(sin(x))/(1+cos(x))=cot(x)	$\frac{1}{\sin (x)} - \frac{\sin (x)}{1 + \cos (x)} = \cot (x)$
51291	Find the Sine of the Angle	pi/3	$\frac{π}{3}$
51292	Find the Cosine of the Angle	pi/2	$\frac{π}{2}$
51293	Solve for x in Radians	2cos(x)^2-sin(x)-1=0	$2 \cos^{2} (x) - \sin (x) - 1 = 0$
51294	Solve for x in Radians	csc(x)=-2	$\csc (x) = - 2$
51295	Convert to Trigonometric Form	tan(x)^2-sec(x)^2	$\tan^{2} (x) - \sec^{2} (x)$
51296	Convert to Trigonometric Form	1-sin(x)	$1 - \sin (x)$
51297	Find the Reference Angle	2/3pi	$\frac{2}{3} π$
51298	Convert to Trigonometric Form	sin(3x)	$\sin (3 x)$
51299	Simplify Using Half-Angle Formula	cos(22.5)	$\cos (22.5)$
51300	Find the Length of c	tri{4}{}{}{}{3}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \\ c = \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$