Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
20101	Expand Using Sum/Difference Formulas	sin(pi/2)	$\sin (\frac{π}{2})$
20102	Expand Using Sum/Difference Formulas	sin(pi/5)	$\sin (\frac{π}{5})$
20103	Expand Using Sum/Difference Formulas	sin(pi/6+pi/4)	$\sin (\frac{π}{6} + \frac{π}{4})$
20104	Expand Using Sum/Difference Formulas	sin(pi/7)	$\sin (\frac{π}{7})$
20105	Expand Using Sum/Difference Formulas	sin(pi/8)cos(pi/8)	$\sin (\frac{π}{8}) \cos (\frac{π}{8})$
20106	Expand Using Sum/Difference Formulas	sin(112.5)	$\sin (112.5)$
20107	Expand Using Sum/Difference Formulas	sin(7/24pi)cos(1/24pi)	$\sin (\frac{7}{24} \cdot π) \cos (\frac{1}{24} \cdot π)$
20108	Expand Using Sum/Difference Formulas	sin(arcsin(1/6)+arctan(-5))	$\sin (\arcsin (\frac{1}{6}) + \arctan (- 5))$
20109	Expand Using Sum/Difference Formulas	sin(4/9+pi/6)	$\sin (\frac{4}{9} + \frac{π}{6})$
20110	Expand Using Sum/Difference Formulas	sin((5pi)/4-pi/6)	$\sin (\frac{5 π}{4} - \frac{π}{6})$
20111	Expand Using Sum/Difference Formulas	sin((5pi)/6)	$\sin (\frac{5 π}{6})$
20112	Expand Using Sum/Difference Formulas	sin(5/6)	$\sin (\frac{5}{6})$
20113	Expand Using Sum/Difference Formulas	sin((4pi)/3)	$\sin (\frac{4 π}{3})$
20114	Expand Using Sum/Difference Formulas	sin(4/5)cos(12/13)	$\sin (\frac{4}{5}) \cos (\frac{12}{13})$
20115	Expand Using Sum/Difference Formulas	sin((3pi)/4)	$\sin (\frac{3 π}{4})$
20116	Expand Using Sum/Difference Formulas	sin(4/5+5/13)	$\sin (\frac{4}{5} + \frac{5}{13})$
20117	Expand Using Sum/Difference Formulas	sin(4/9)	$\sin (\frac{4}{9})$
20118	Expand Using Sum/Difference Formulas	sin(-3/5-5/13)	$\sin (- \frac{3}{5} - \frac{5}{13})$
20119	Expand Using Sum/Difference Formulas	sin(19/12*pi)	$\sin (\frac{19}{12} \cdot π)$
20120	Expand Using Sum/Difference Formulas	sin((19pi)/12)	$\sin (\frac{19 π}{12})$
20121	Expand Using Sum/Difference Formulas	tan(2.0503)	$\tan (2.0503)$
20122	Expand Using Sum/Difference Formulas	tan(-135)	$\tan (- 135)$
20123	Expand Using Sum/Difference Formulas	tan(2pi-0)	$\tan (2 π - 0)$
20124	Expand Using Sum/Difference Formulas	tan(35)	$\tan (35)$
20125	Expand Using Sum/Difference Formulas	tan(-210)	$\tan (- 210)$
20126	Expand Using Sum/Difference Formulas	tan(25)	$\tan (25)$
20127	Expand Using Sum/Difference Formulas	tan(3/4)	$\tan (\frac{3}{4})$
20128	Expand Using Sum/Difference Formulas	tan((5pi)/8)	$\tan (\frac{5 π}{8})$
20129	Expand Using Sum/Difference Formulas	tan(5/12)	$\tan (\frac{5}{12})$
20130	Expand Using Sum/Difference Formulas	tan(pi/2)	$\tan (\frac{π}{2})$
20131	Expand Using Sum/Difference Formulas	tan(0-(3pi)/4)	$\tan (0 - \frac{3 π}{4})$
20132	Expand Using Sum/Difference Formulas	sin(h(x+y))	$\sinh (x + y)$
20133	Expand Using Sum/Difference Formulas	sin(80)sin(50)	$\sin (80) \sin (50)$
20134	Expand Using Sum/Difference Formulas	tan((13pi)/12)	$\tan (\frac{13 π}{12})$
20135	Expand Using Sum/Difference Formulas	sin(70)	$\sin (70)$
20136	Expand Using Sum/Difference Formulas	sin(550)	$\sin (550)$
20137	Expand Using Sum/Difference Formulas	sin(pi)	$\sin (π)$
20138	Expand Using Sum/Difference Formulas	sin(45)	$\sin (45)$
20139	Expand Using Sum/Difference Formulas	sin(45)cos(30)	$\sin (45) \cos (30)$
20140	Expand Using Sum/Difference Formulas	sin(x)^2cos(x)^4	$\sin^{2} (x) \cos^{4} (x)$
20141	Expand Using Sum/Difference Formulas	arctan(0)	$\arctan (0)$
20142	Expand Using Sum/Difference Formulas	arctan(4/3)	$\arctan (\frac{4}{3})$
20143	Expand Using Sum/Difference Formulas	arcsin(sin((11pi)/8))	$\arcsin (\sin (\frac{11 π}{8}))$
20144	Expand Using Sum/Difference Formulas	(tan(pi/24)+tan(pi/8))/(1-tan(pi/24)tan(pi/8))	$\frac{\tan (\frac{π}{24}) + \tan (\frac{π}{8})}{1 - \tan (\frac{π}{24}) \tan (\frac{π}{8})}$
20145	Expand Using Sum/Difference Formulas	(tan(pi/3)+tan(pi/4))/(1-tan(pi/3)tan(pi/4))	$\frac{\tan (\frac{π}{3}) + \tan (\frac{π}{4})}{1 - \tan (\frac{π}{3}) \tan (\frac{π}{4})}$
20146	Expand Using Sum/Difference Formulas	(tan(80)+tan(55))/(1-tan(80)tan(55))	$\frac{\tan (80) + \tan (55)}{1 - \tan (80) \tan (55)}$
20147	Expand Using Sum/Difference Formulas	(tan(pi/18)+tan(pi/9))/(1-tan(pi/18)tan(pi/9))	$\frac{\tan (\frac{π}{18}) + \tan (\frac{π}{9})}{1 - \tan (\frac{π}{18}) \tan (\frac{π}{9})}$
20148	Expand Using Sum/Difference Formulas	arctan(20/15)	$\arctan (\frac{20}{15})$
20149	Expand Using Sum/Difference Formulas	2cos(20-1)^2	$2 \cos^{2} (20 - 1)$
20150	Expand Using Sum/Difference Formulas	arctan(tan(pi/6))	$\arctan (\tan (\frac{π}{6}))$
20151	Expand Using Sum/Difference Formulas	2sin(pi/6)cos(pi/3)	$2 \sin (\frac{π}{6}) \cos (\frac{π}{3})$
20152	Expand Using Sum/Difference Formulas	2sin(13)cos(13)	$2 \sin (13) \cos (13)$
20153	Expand Using Sum/Difference Formulas	2sin(142.5)cos(7.5)	$2 \sin (142.5) \cos (7.5)$
20154	Expand Using Sum/Difference Formulas	2sin(x)cos(2x)	$2 \sin (x) \cos (2 x)$
20155	Expand Using Sum/Difference Formulas	arccos(cos((7pi)/6))	$\arccos (\cos (\frac{7 π}{6}))$
20156	Expand Using Sum/Difference Formulas	(tan((7pi)/24)-tan(pi/8))/(1+tan((7pi)/24)tan(pi/8))	$\frac{\tan (\frac{7 π}{24}) - \tan (\frac{π}{8})}{1 + \tan (\frac{7 π}{24}) \tan (\frac{π}{8})}$
20157	Find Amplitude, Period, and Phase Shift	y=tan((3pi)/4x)	$y = \tan (\frac{3 π}{4} x)$
20158	Find Amplitude, Period, and Phase Shift	y=tan(pi/2x)	$y = \tan (\frac{π}{2} x)$
20159	Find Amplitude, Period, and Phase Shift	y=tan(3/2x)	$y = \tan (\frac{3}{2} x)$
20160	Find Amplitude, Period, and Phase Shift	y=tan((pix)/4)	$y = \tan (\frac{π x}{4})$
20161	Find Amplitude, Period, and Phase Shift	y=tan(x/4)	$y = \tan (\frac{x}{4})$
20162	Find Amplitude, Period, and Phase Shift	y=-sin(x-pi/3)-3	$y = - \sin (x - \frac{π}{3}) - 3$
20163	Find Amplitude, Period, and Phase Shift	y=-tan(3x+pi/2)	$y = - \tan (3 x + \frac{π}{2})$
20164	Find Amplitude, Period, and Phase Shift	y=tan(5x)	$y = \tan (5 x)$
20165	Find Amplitude, Period, and Phase Shift	y=tan(x-pi/6)	$y = \tan (x - \frac{π}{6})$
20166	Find Amplitude, Period, and Phase Shift	y=tan(x+pi/3)	$y = \tan (x + \frac{π}{3})$
20167	Find Amplitude, Period, and Phase Shift	y=tan(x)+1	$y = \tan (x) + 1$
20168	Find Amplitude, Period, and Phase Shift	y=tan(4x)	$y = \tan (4 x)$
20169	Find Amplitude, Period, and Phase Shift	y=tan(4x-pi)+1	$y = \tan (4 x - π) + 1$
20170	Expand Using Sum/Difference Formulas	cos(45+30)	$\cos (45 + 30)$
20171	Expand Using Sum/Difference Formulas	cos(a-b)	$\cos (a - b)$
20172	Expand Using Sum/Difference Formulas	cot(1/2)	$\cot (\frac{1}{2})$
20173	Expand Using Sum/Difference Formulas	cot((7pi)/12)	$\cot (\frac{7 π}{12})$
20174	Expand Using Sum/Difference Formulas	cot(1)	$\cot (1)$
20175	Expand Using Sum/Difference Formulas	cot(165)	$\cot (165)$
20176	Expand Using Sum/Difference Formulas	cot(45)	$\cot (45)$
20177	Expand Using Sum/Difference Formulas	cos(x-2pi)	$\cos (x - 2 π)$
20178	Expand Using Sum/Difference Formulas	csc(15/20)	$\csc (\frac{15}{20})$
20179	Expand Using Sum/Difference Formulas	csc(0)	$\csc (0)$
20180	Expand Using Sum/Difference Formulas	sec(-pi/3)	$\sec (- \frac{π}{3})$
20181	Expand Using Sum/Difference Formulas	sec(105)	$\sec (105)$
20182	Expand Using Sum/Difference Formulas	sec(2)	$\sec (2)$
20183	Expand Using Sum/Difference Formulas	sec((3pi)/10)	$\sec (\frac{3 π}{10})$
20184	Expand Using Sum/Difference Formulas	csc(3/7)	$\csc (\frac{3}{7})$
20185	Expand Using Sum/Difference Formulas	sec(495.23)	$\sec (495.23)$
20186	Expand Using Sum/Difference Formulas	sec(270)	$\sec (270)$
20187	Expand Using Sum/Difference Formulas	sin(-(13pi)/12)	$\sin (- \frac{13 π}{12})$
20188	Expand Using Sum/Difference Formulas	sin((11pi)/6)	$\sin (\frac{11 π}{6})$
20189	Expand Using Sum/Difference Formulas	sin((11pi)/8)	$\sin (\frac{11 π}{8})$
20190	Expand Using Sum/Difference Formulas	sin(12/13)	$\sin (\frac{12}{13})$
20191	Expand Using Sum/Difference Formulas	cos(-pi/12)	$\cos (- \frac{π}{12})$
20192	Expand Using Sum/Difference Formulas	cos(pi/4+pi/6)	$\cos (\frac{π}{4} + \frac{π}{6})$
20193	Expand Using Sum/Difference Formulas	cos(-105)	$\cos (- 105)$
20194	Expand Using Sum/Difference Formulas	cos(-1)	$\cos (- 1)$
20195	Expand Using Sum/Difference Formulas	cos(210)	$\cos (210)$
20196	Expand Using Sum/Difference Formulas	cos(225)	$\cos (225)$
20197	Expand Using Sum/Difference Formulas	cos(255)	$\cos (255)$
20198	Expand Using Sum/Difference Formulas	cos(2x)	$\cos (2 x)$
20199	Expand Using Sum/Difference Formulas	cos(310)	$\cos (310)$
20200	Expand Using Sum/Difference Formulas	cos(37.5)	$\cos (37.5)$