Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
11401	Simplify	sin(175)	$\sin (175)$
11402	Simplify	sin(-135)	$\sin (- 135)$
11403	Simplify	sin(135)-cos(30)	$\sin (135) - \cos (30)$
11404	Simplify	sin(135)-cos(60)	$\sin (135) - \cos (60)$
11405	Simplify	sin(13)cos(47)+cos(13)sin(47)	$\sin (13) \cos (47) + \cos (13) \sin (47)$
11406	Simplify	sin(15)cos(75)+cos(15)sin(75)	$\sin (15) \cos (75) + \cos (15) \sin (75)$
11407	Simplify	sin(140)cos(50)+cos(140)sin(50)	$\sin (140) \cos (50) + \cos (140) \sin (50)$
11408	Simplify	sin(111)	$\sin (111)$
11409	Simplify	sin(10)cos(50)+cos(10)sin(50)	$\sin (10) \cos (50) + \cos (10) \sin (50)$
11410	Simplify	sin(10)cos(80)+cos(10)sin(80)	$\sin (10) \cos (80) + \cos (10) \sin (80)$
11411	Simplify	sin(120)cos(45)+cos(120)sin(45)	$\sin (120) \cos (45) + \cos (120) \sin (45)$
11412	Simplify	sin(110)*12	$\sin (110) \cdot 12$
11413	Simplify	sin(105)+sin(15)	$\sin (105) + \sin (15)$
11414	Simplify	sin(10)cos(35)+cos(10)sin(35)	$\sin (10) \cos (35) + \cos (10) \sin (35)$
11415	Simplify	sin(0)+tan(45)	$\sin (0) + \tan (45)$
11416	Simplify	sin(0.55)	$\sin (0.55)$
11417	Simplify	sin(0.85)+pi/4	$\sin (0.85) + \frac{π}{4}$
11418	Simplify	sin(1)*cos(2)	$\sin (1) \cdot \cos (2)$
11419	Simplify	sin(arctan(10x))	$\sin (\arctan (10 x))$
11420	Simplify	sin(x/8)cos((7x)/8)+cos(x/8)sin((7x)/8)	$\sin (\frac{x}{8}) \cos (\frac{7 x}{8}) + \cos (\frac{x}{8}) \sin (\frac{7 x}{8})$
11421	Simplify	sin(x/9)cos((8x)/9)+cos(x/9)sin((8x)/9)	$\sin (\frac{x}{9}) \cos (\frac{8 x}{9}) + \cos (\frac{x}{9}) \sin (\frac{8 x}{9})$
11422	Simplify	sin(u/2)	$\sin (\frac{u}{2})$
11423	Simplify	sin(x/1*9/23)	$\sin (\frac{x}{1} \cdot \frac{9}{23})$
11424	Simplify	sin(x/2)*cos((11x)/2)	$\sin (\frac{x}{2}) \cdot \cos (\frac{11 x}{2})$
11425	Simplify	sin(x/6)cos((5x)/6)+cos(x/6)sin((5x)/6)	$\sin (\frac{x}{6}) \cos (\frac{5 x}{6}) + \cos (\frac{x}{6}) \sin (\frac{5 x}{6})$
11426	Simplify	sin(pi/6)-x	$\sin (\frac{π}{6}) - x$
11427	Simplify	sin(pi/6x)	$\sin (\frac{π}{6} x)$
11428	Simplify	sin(pi/6)cos((2pi)/3)-cos(pi/6)sin((2pi)/3)	$\sin (\frac{π}{6}) \cos (\frac{2 π}{3}) - \cos (\frac{π}{6}) \sin (\frac{2 π}{3})$
11429	Simplify	sin(pi/6-x)	$\sin (\frac{π}{6} - x)$
11430	Simplify	sin(pi/7)cos((4pi)/21)+cos(pi/7)sin((4pi)/21)	$\sin (\frac{π}{7}) \cdot \cos (\frac{4 π}{21}) + \cos (\frac{π}{7}) \cdot \sin (\frac{4 π}{21})$
11431	Simplify	sin(pi/9)cos((2pi)/9)+cos(pi/9)sin((2pi)/9)	$\sin (\frac{π}{9}) \cos (\frac{2 π}{9}) + \cos (\frac{π}{9}) \sin (\frac{2 π}{9})$
11432	Simplify	sin(pi/8)	$\sin (\frac{π}{8})$
11433	Simplify	sin(pi/8)*cos(pi/8)	$\sin (\frac{π}{8}) \cdot \cos (\frac{π}{8})$
11434	Simplify	sin(pi/6)cos(pi/4)-tan(pi/4)	$\sin (\frac{π}{6}) \cos (\frac{π}{4}) - \tan (\frac{π}{4})$
11435	Simplify	sin(pi/5)cos(pi/2)+cos(pi/5)sin(pi/2)	$\sin (\frac{π}{5}) \cos (\frac{π}{2}) + \cos (\frac{π}{5}) \sin (\frac{π}{2})$
11436	Simplify	sin(pi/4-x)	$\sin (\frac{π}{4} - x)$
11437	Simplify	sin(pi/5)	$\sin (\frac{π}{5})$
11438	Simplify	sin(pi/6)+tan(pi/3)^2	$\sin (\frac{π}{6}) + \tan^{2} (\frac{π}{3})$
11439	Simplify	sin(pi/5)cos(pi/7)-cos(pi/5)sin(pi/7)	$\sin (\frac{π}{5}) \cos (\frac{π}{7}) - \cos (\frac{π}{5}) \sin (\frac{π}{7})$
11440	Simplify	sin(pi/6)+cos(pi/3)+sin((5pi)/6)+cos((17pi)/6)	$\sin (\frac{π}{6}) + \cos (\frac{π}{3}) + \sin (\frac{5 π}{6}) + \cos (\frac{17 π}{6})$
11441	Simplify	sin(pi/4)cos(pi/4)-tan(pi/4)	$\sin (\frac{π}{4}) \cos (\frac{π}{4}) - \tan (\frac{π}{4})$
11442	Simplify	sin(pi/4)cos(pi/6)-tan(pi/4)	$\sin (\frac{π}{4}) \cos (\frac{π}{6}) - \tan (\frac{π}{4})$
11443	Simplify	sin(-pi/4-1000pi)	$\sin (- \frac{π}{4} - 1000 π)$
11444	Simplify	sin((2pi)/3-x)	$\sin (\frac{2 π}{3} - x)$
11445	Simplify	sin(x)cos(2x)+cos(x)sin(2x)	$\sin (x) \cos (2 x) + \cos (x) \sin (2 x)$
11446	Simplify	sin((2pi)/7)cos(pi/21)+cos((2pi)/7)sin(pi/21)	$\sin (\frac{2 π}{7}) \cos (\frac{π}{21}) + \cos (\frac{2 π}{7}) \sin (\frac{π}{21})$
11447	Simplify	sin((2pi)/9)	$\sin (\frac{2 π}{9})$
11448	Simplify	sin((19pi)/4)cos(pi/6)+cos((19pi)/4)sin(pi/6)	$\sin (\frac{19 π}{4}) \cos (\frac{π}{6}) + \cos (\frac{19 π}{4}) \sin (\frac{π}{6})$
11449	Simplify	sin((2pi)/3)cos(pi/12)+cos((2pi)/3)sin(pi/12)	$\sin (\frac{2 π}{3}) \cos (\frac{π}{12}) + \cos (\frac{2 π}{3}) \sin (\frac{π}{12})$
11450	Simplify	sin((3pi)/4)cos(pi/12)-cos((3pi)/4)sin(pi/12)	$\sin (\frac{3 π}{4}) \cos (\frac{π}{12}) - \cos (\frac{3 π}{4}) \sin (\frac{π}{12})$
11451	Simplify	sin((3pi)/4)+sin((5pi)/6)	$\sin (\frac{3 π}{4}) + \sin (\frac{5 π}{6})$
11452	Simplify	sin((3pi)/5)cos(pi/15)+cos((3pi)/5)sin(pi/15)	$\sin (\frac{3 π}{5}) \cos (\frac{π}{15}) + \cos (\frac{3 π}{5}) \sin (\frac{π}{15})$
11453	Simplify	sin((37pi)/42)cos((5pi)/7)-cos((37pi)/42)sin((5pi)/7)	$\sin (\frac{37 π}{42}) \cos (\frac{5 π}{7}) - \cos (\frac{37 π}{42}) \sin (\frac{5 π}{7})$
11454	Simplify	sin((4pi)/3)cos(2pi)-cos((4pi)/3)sin((3pi)/2)	$\sin (\frac{4 π}{3}) \cos (2 π) - \cos (\frac{4 π}{3}) \sin (\frac{3 π}{2})$
11455	Simplify	sin(5/13)	$\sin (\frac{5}{13})$
11456	Simplify	sin(4/5)	$\sin (\frac{4}{5})$
11457	Simplify	sin((3pi)/7)cos((2pi)/21)-cos((3pi)/7)sin((2pi)/21)	$\sin (\frac{3 π}{7}) \cos (\frac{2 π}{21}) - \cos (\frac{3 π}{7}) \sin (\frac{2 π}{21})$
11458	Simplify	sin(-4/3)cos(12/5)-cos(4/3)sin(12/5)	$\sin (- \frac{4}{3}) \cos (\frac{12}{5}) - \cos (\frac{4}{3}) \sin (\frac{12}{5})$
11459	Simplify	sin((43pi)/12)	$\sin (\frac{43 π}{12})$
11460	Simplify	sin((5pi)/6)+cos((5pi)/6)	$\sin (\frac{5 π}{6}) + \cos (\frac{5 π}{6})$
11461	Simplify	sin((5pi)/6-x)	$\sin (\frac{5 π}{6} - x)$
11462	Simplify	sin((3pi)/2-x)	$\sin (\frac{3 π}{2} - x)$
11463	Simplify	sin((7pi)/4)cos(pi)-cos((7pi)/4)sin(pi/2)	$\sin (\frac{7 π}{4}) \cos (π) - \cos (\frac{7 π}{4}) \sin (\frac{π}{2})$
11464	Simplify	sin(pi/2)cos(pi/3)-cos(pi/2)sin(pi/3)	$\sin (\frac{π}{2}) \cos (\frac{π}{3}) - \cos (\frac{π}{2}) \sin (\frac{π}{3})$
11465	Simplify	sin(pi/4)cos((11pi)/12)-cos(pi/4)sin((11pi)/12)	$\sin (\frac{π}{4}) \cos (\frac{11 π}{12}) - \cos (\frac{π}{4}) \sin (\frac{11 π}{12})$
11466	Simplify	sin(pi/4)+tan(pi/6)	$\sin (\frac{π}{4}) + \tan (\frac{π}{6})$
11467	Simplify	sin(pi/4)cos((7pi)/12)+cos(pi/4)sin((7pi)/12)	$\sin (\frac{π}{4}) \cos (\frac{7 π}{12}) + \cos (\frac{π}{4}) \sin (\frac{7 π}{12})$
11468	Simplify	sin(pi/3)cos((5pi)/12)+cos(pi/3)sin((5pi)/12)	$\sin (\frac{π}{3}) \cos (\frac{5 π}{12}) + \cos (\frac{π}{3}) \sin (\frac{5 π}{12})$
11469	Simplify	sin(pi/3)*cos(pi/6)	$\sin (\frac{π}{3}) \cdot \cos (\frac{π}{6})$
11470	Simplify	sin(pi/3-x)+sin(pi/3+x)	$\sin (\frac{π}{3} - x) + \sin (\frac{π}{3} + x)$
11471	Simplify	sin((-pi)/4)	$\sin (\frac{- π}{4})$
11472	Simplify	sin(pi/3)cos((2pi)/3)-cos(pi/3)sin((2pi)/3)	$\sin (\frac{π}{3}) \cos (\frac{2 π}{3}) - \cos (\frac{π}{3}) \sin (\frac{2 π}{3})$
11473	Simplify	sin((7pi)/12)cos(pi/4)-cos((7pi)/12)sin(pi/4)	$\sin (\frac{7 π}{12}) \cos (\frac{π}{4}) - \cos (\frac{7 π}{12}) \sin (\frac{π}{4})$
11474	Simplify	sin((5pi)/2)	$\sin (\frac{5 π}{2})$
11475	Simplify	sin(7/x)	$\sin (\frac{7}{x})$
11476	Simplify	sin((7pi)/6)cos(pi)-cos((7pi)/6)sin(pi/2)	$\sin (\frac{7 π}{6}) \cos (π) - \cos (\frac{7 π}{6}) \sin (\frac{π}{2})$
11477	Simplify	sin((7x)/3)cos((5x)/2)-cos((7x)/3)sin((5x)/2)	$\sin (\frac{7 x}{3}) \cos (\frac{5 x}{2}) - \cos (\frac{7 x}{3}) \sin (\frac{5 x}{2})$
11478	Simplify	sin(8/17)	$\sin (\frac{8}{17})$
11479	Simplify	sin(-8/9)	$\sin (- \frac{8}{9})$
11480	Simplify	sin(pi/12)cos((3pi)/4)+cos(pi/12)sin((3pi)/4)	$\sin (\frac{π}{12}) \cos (\frac{3 π}{4}) + \cos (\frac{π}{12}) \sin (\frac{3 π}{4})$
11481	Simplify	sin(arccot(x/2))	$\sin (arccot (\frac{x}{2}))$
11482	Simplify	sin(arccot(u))	$\sin (arccot (u))$
11483	Simplify	sin((7pi)/8)cos(pi/8)	$\sin (\frac{7 π}{8}) \cos (\frac{π}{8})$
11484	Simplify	sin((9pi)/4)	$\sin (\frac{9 π}{4})$
11485	Simplify	sin((9pi)/8)	$\sin (\frac{9 π}{8})$
11486	Simplify	sin(arccos(1/3)+arcsin(1/2))	$\sin (\arccos (\frac{1}{3}) + \arcsin (\frac{1}{2}))$
11487	Simplify	sin(1/2)x	$\sin (\frac{1}{2}) x$
11488	Simplify	sin(1/2*arcsin(16/19))	$\sin (\frac{1}{2} \cdot \arcsin (\frac{16}{19}))$
11489	Simplify	sin(1/3x)	$\sin (\frac{1}{3} x)$
11490	Simplify	sin(1/(sin(x))-(cos(x))/(cot(x)))	$\sin (\frac{1}{\sin (x)} - \frac{\cos (x)}{\cot (x)})$
11491	Simplify	sin(x/3)cos(x/3)	$\sin (\frac{x}{3}) \cos (\frac{x}{3})$
11492	Simplify	sin(1/2x)	$\sin (\frac{1}{2} x)$
11493	Simplify	sin(11/2x)cos(5x)-cos(11/2x)sin(5x)	$\sin (\frac{11}{2} x) \cos (5 x) - \cos (\frac{11}{2} x) \sin (5 x)$
11494	Simplify	sin((11pi)/4)cos((7pi)/6)+cos(11/4)sin((7pi)/6)	$\sin (\frac{11 π}{4}) \cos (\frac{7 π}{6}) + \cos (\frac{11}{4}) \sin (\frac{7 π}{6})$
11495	Simplify	sin((11pi)/6)cos(pi)-cos((11pi)/6)sin(pi/2)	$\sin (\frac{11 π}{6}) \cos (π) - \cos (\frac{11 π}{6}) \sin (\frac{π}{2})$
11496	Simplify	sin((17pi)/3)	$\sin (\frac{17 π}{3})$
11497	Simplify	sin((17pi)/30)cos((4pi)/15)+cos((17pi)/30)sin((4pi)/15)	$\sin (\frac{17 π}{30}) \cos (\frac{4 π}{15}) + \cos (\frac{17 π}{30}) \sin (\frac{4 π}{15})$
11498	Simplify	sin(x-(3pi)/2)	$\sin (x - \frac{3 π}{2})$
11499	Simplify	sin(x-pi/2)	$\sin (x - \frac{π}{2})$
11500	Simplify	sin((19pi)/6)	$\sin (\frac{19 π}{6})$