Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
51101	Convert from Radians to Degrees	4pi/3	$4 \frac{π}{3}$
51102	Solve for θ in Radians	4cos(theta)^2-3=0	$4 \cos^{2} (θ) - 3 = 0$
51103	Solve for θ in Degrees	3cos(theta)^2+cos(theta)=0	$3 \cos^{2} (θ) + \cos (θ) = 0$
51104	Expand Using Sum/Difference Formulas	(x+3)(x-3)	$(x + 3) (x - 3)$
51105	Convert from Radians to Degrees	(7pi)/6rad	$\frac{7 π}{6}$ rad
51106	Find Amplitude, Period, and Phase Shift	y=cos(x/2+pi/4)	$y = \cos (\frac{x}{2} + \frac{π}{4})$
51107	Convert from Radians to Degrees	pi÷3	$π \div 3$
51108	Verify the Identity	tan(u)-sec(u)=-(cos(u))/(1+sin(u))	$\tan (u) - \sec (u) = - \frac{\cos (u)}{1 + \sin (u)}$
51109	Find the Coterminal Angle	(51pi)/2	$\frac{51 π}{2}$
51110	Solve for x in Degrees	sin(x)=0.4	$\sin (x) = 0.4$
51111	Solve for x in Radians	4cos(x)=-sin(x)^2+1	$4 \cos (x) = - \sin^{2} (x) + 1$
51112	Find the Sine of the Angle	(5pi)/6	$\frac{5 π}{6}$
51113	Find the Reference Angle	sin(120 degrees )	$\sin (120 °)$
51114	Convert from Degrees to Radians	arctan(0)	$\arctan (0)$
51115	Convert to Trigonometric Form	sec(pi/2-u)	$\sec (\frac{π}{2} - u)$
51116	Solve for x in Degrees	cot(x)=( square root of 3)/3	$\cot (x) = \frac{\sqrt{3}}{3}$
51117	Find the Sine of the Angle	pi/4	$\frac{π}{4}$
51118	Find the Coterminal Angle	405	$405$
51119	Solve for x in Radians	cos(2x)=( square root of 2)/2	$\cos (2 x) = \frac{\sqrt{2}}{2}$
51120	Solve for θ in Degrees	cos(theta)=5/13	$\cos (θ) = \frac{5}{13}$
51121	Find the Other Trig Values in Quadrant III	sec(theta)=-2	$\sec (θ) = - 2$
51122	Find the Sine of the Angle	(5pi)/3	$\frac{5 π}{3}$
51123	Find the Cosecant Given the Point	(7/25,-24/25)	$(\frac{7}{25}, - \frac{24}{25})$
51124	Verify the Identity	(1+cos(3t))/(sin(3t))+(sin(3t))/(1+cos(3t))=2csc(3t)	$\frac{1 + \cos (3 t)}{\sin (3 t)} + \frac{\sin (3 t)}{1 + \cos (3 t)} = 2 \csc (3 t)$
51125	Solve for x in Radians	sin(x)(sin(x)+1)=0	$\sin (x) (\sin (x) + 1) = 0$
51126	Solve for θ in Degrees	cos(theta)=3/4	$\cos (θ) = \frac{3}{4}$
51127	Find the Reference Angle	arctan(1)	$\arctan (1)$
51128	Solve for x in Radians	sin(2x)+cos(x)=0	$\sin (2 x) + \cos (x) = 0$
51129	Solve for x in Degrees	cos(x)^2-1=0	$\cos^{2} (x) - 1 = 0$
51130	Find the Secant Given the Point	(3/5,-4/5)	$(\frac{3}{5}, - \frac{4}{5})$
51131	Find the Coterminal Angle	(-2pi)/3	$\frac{- 2 π}{3}$
51132	Solve for θ in Degrees	sin(2theta)=-1/2	$\sin (2 θ) = - \frac{1}{2}$
51133	Find Amplitude, Period, and Phase Shift	y=sin((6pix)/7)	$y = \sin (\frac{6 π x}{7})$
51134	Find the Other Trig Values in Quadrant III	sin(theta)=-1	$\sin (θ) = - 1$
51135	Find the Sine of the Angle	(11pi)/6	$\frac{11 π}{6}$
51136	Find Amplitude, Period, and Phase Shift	y=1/4cos((2pix)/3)	$y = \frac{1}{4} \cos (\frac{2 π x}{3})$
51137	Solve for x in Degrees	2cos(x)-1=0	$2 \cos (x) - 1 = 0$
51138	Convert to Trigonometric Form	30 degrees	$30 °$
51139	Solve for x in Degrees	8cos(12x)+4=-4	$8 \cos (12 x) + 4 = - 4$
51140	Solve for x in Degrees	6sin(3x)+1=7	$6 \sin (3 x) + 1 = 7$
51141	Find the Other Trig Values in Quadrant IV	tan(theta)=-15/8	$\tan (θ) = - \frac{15}{8}$
51142	Expand Using Sum/Difference Formulas	cos(pi-x)	$\cos (π - x)$
51143	Find Amplitude, Period, and Phase Shift	y=1/2cos((8pix)/5)	$y = \frac{1}{2} \cos (\frac{8 π x}{5})$
51144	Solve for θ in Radians	sin(theta)=3/5	$\sin (θ) = \frac{3}{5}$
51145	Find the Secant Given the Point	(9/41,40/41)	$(\frac{9}{41}, \frac{40}{41})$
51146	Convert to Trigonometric Form	(cos(x))/(1+sin(x))	$\frac{\cos (x)}{1 + \sin (x)}$
51147	Find the Other Trig Values in Quadrant IV	tan(theta)=- square root of 3	$\tan (θ) = - \sqrt{3}$
51148	Find the Cosecant Given the Point	(0,-1)	$(0, - 1)$
51149	Solve for x in Radians	sin(x)-2sin(x)cos(x)=0	$\sin (x) - 2 \sin (x) \cos (x) = 0$
51150	Find the Secant Given the Point	(5/13,-12/13)	$(\frac{5}{13}, - \frac{12}{13})$
51151	Solve for θ in Radians	cot(theta)=-( square root of 3)/3	$\cot (θ) = - \frac{\sqrt{3}}{3}$
51152	Solve for x in Radians	csc(x)=2	$\csc (x) = 2$
51153	Find the Other Trig Values in Quadrant II	sin(theta)=0	$\sin (θ) = 0$
51154	Solve for θ in Radians	cos(theta)=1/( square root of 2)	$\cos (θ) = \frac{1}{\sqrt{2}}$
51155	Solve for θ in Radians	sec(theta)-1=0	$\sec (θ) - 1 = 0$
51156	Find the Reference Angle	arcsin(-1/2)	$\arcsin (- \frac{1}{2})$
51157	Solve for θ in Degrees	2tan(theta)^2+5tan(theta)=0	$2 \tan^{2} (θ) + 5 \tan (θ) = 0$
51158	Solve for x in Radians	tan(x)=2	$\tan (x) = 2$
51159	Find the Other Trig Values in Quadrant II	sec(theta)=-4	$\sec (θ) = - 4$
51160	Solve for x in Radians	-4cos(x)=-sin(x)^2+1	$- 4 \cos (x) = - \sin^{2} (x) + 1$
51161	Simplify Using Half-Angle Formula	sin(-(11pi)/12)	$\sin (- \frac{11 π}{12})$
51162	Convert to Trigonometric Form	cos(A)	$\cos (A)$
51163	Solve for θ in Degrees	5cos(theta)^2+cos(theta)=0	$5 \cos^{2} (θ) + \cos (θ) = 0$
51164	Solve for x in Radians	4sin(x)^2=3	$4 \sin^{2} (x) = 3$
51165	Convert to Trigonometric Form	sec(x)^2-tan(x)^2	$\sec^{2} (x) - \tan^{2} (x)$
51166	Find the Other Trig Values in Quadrant III	csc(theta)=-5/2	$\csc (θ) = - \frac{5}{2}$
51167	Verify the Identity	1/(csc(theta)-1)-1/(csc(theta)+1)=2tan(theta)^2	$\frac{1}{\csc (θ) - 1} - \frac{1}{\csc (θ) + 1} = 2 \tan^{2} (θ)$
51168	Solve for x in Radians	2cos(x)^2=1	$2 \cos^{2} (x) = 1$
51169	Solve for θ in Radians	2sin(theta)+3=2	$2 \sin (θ) + 3 = 2$
51170	Solve for x in Radians	2sin(x)^2-cos(x)-1=0	$2 \sin^{2} (x) - \cos (x) - 1 = 0$
51171	Convert from Radians to Degrees	(5pi)/3rad	$\frac{5 π}{3}$ radians
51172	Find the Other Trig Values in Quadrant II	cot(theta)=-2	$\cot (θ) = - 2$
51173	Solve for θ in Degrees	9tan(theta)^2-4=0	$9 \tan^{2} (θ) - 4 = 0$
51174	Find Amplitude, Period, and Phase Shift	y=1/4sin((2pix)/3)	$y = \frac{1}{4} \sin (\frac{2 π x}{3})$
51175	Solve for θ in Degrees	2sec(theta)^2-tan(theta)^4=-1	$2 \sec^{2} (θ) - \tan^{4} (θ) = - 1$
51176	Find the Sine of the Angle	pi/6	$\frac{π}{6}$
51177	Simplify Using Half-Angle Formula	cos(195 degrees )	$\cos (195 °)$
51178	Convert to Trigonometric Form	sec(x)-cos(x)	$\sec (x) - \cos (x)$
51179	Convert from Radians to Degrees	-(2pi)/7	$- \frac{2 π}{7}$
51180	Find the Other Trig Values in Quadrant III	cot(theta)=3	$\cot (θ) = 3$
51181	Expand Using Sum/Difference Formulas	sec(pi/2-u)	$\sec (\frac{π}{2} - u)$
51182	Find the Reference Angle	arccos(( square root of 3)/2)	$\arccos (\frac{\sqrt{3}}{2})$
51183	Find the Reference Angle	arcsin(-( square root of 3)/2)	$\arcsin (- \frac{\sqrt{3}}{2})$
51184	Convert to Trigonometric Form	(sin(theta)^2)/(1+cos(theta))	$\frac{\sin^{2} (θ)}{1 + \cos (θ)}$
51185	Solve for x in Degrees	4sin(x)^2-3=0	$4 \sin^{2} (x) - 3 = 0$
51186	Find the Reference Angle	sin(210 degrees )	$\sin (210 °)$
51187	Find the Reference Angle	arccos(-( square root of 3)/2)	$\arccos (- \frac{\sqrt{3}}{2})$
51188	Simplify Using Half-Angle Formula	sin(22.5)	$\sin (22.5)$
51189	Solve for θ in Radians	sec(theta)=-1	$\sec (θ) = - 1$
51190	Solve for x in Degrees	sin(x)=4/9	$\sin (x) = \frac{4}{9}$
51191	Convert from Radians to Degrees	(2pi)÷3	$2 π \div 3$
51192	Solve for θ in Radians	tan(theta)^2=3	$\tan^{2} (θ) = 3$
51193	Convert from Radians to Degrees	(10pi)/9rad	$\frac{10 π}{9}$ rad
51194	Find the Other Trig Values in Quadrant II	sec(theta)=-5/3	$\sec (θ) = - \frac{5}{3}$
51195	Solve for x in Radians	5cos(x)=-2sin(x)^2+4	$5 \cos (x) = - 2 \sin^{2} (x) + 4$
51196	Solve for x in Radians	sin(x)^2-cos(x)^2=0	$\sin^{2} (x) - \cos^{2} (x) = 0$
51197	Solve for x in Radians	sec(x)^2-1=0	$\sec^{2} (x) - 1 = 0$
51198	Convert from Radians to Degrees	2/3pirad	$\frac{2}{3} π$ rad
51199	Solve for θ in Radians	cos(3theta)=-1	$\cos (3 θ) = - 1$
51200	Find the Coterminal Angle	-2pi	$- 2 π$