Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
11901	Simplify	cos((-3pi)/4)	$\cos (\frac{- 3 π}{4})$
11902	Simplify	cos((20pi)/3)	$\cos (\frac{20 π}{3})$
11903	Simplify	cos((-20pi)/5)	$\cos (\frac{- 20 π}{5})$
11904	Simplify	cos(22/38)	$\cos (\frac{22}{38})$
11905	Simplify	cos(-(17pi)/4)-sin(-(3pi)/2)	$\cos (- \frac{17 π}{4}) - \sin (- \frac{3 π}{2})$
11906	Simplify	cos((17pi)/6)	$\cos (\frac{17 π}{6})$
11907	Simplify	cos((27pi)/4)	$\cos (\frac{27 π}{4})$
11908	Simplify	cos((27pi)/8)	$\cos (\frac{27 π}{8})$
11909	Simplify	cos((-2pi)/3)	$\cos (\frac{- 2 π}{3})$
11910	Simplify	cos((17x)/6)	$\cos (\frac{17 x}{6})$
11911	Simplify	cos(17/x)	$\cos (\frac{17}{x})$
11912	Simplify	cos((17pi)/4)	$\cos (\frac{17 π}{4})$
11913	Simplify	cos((pii)/4)	$\cos (\frac{π i}{4})$
11914	Simplify	cos(pi/9)cos((7pi)/18)-sin(pi/9)sin((7pi)/18)	$\cos (\frac{π}{9}) \cos (\frac{7 π}{18}) - \sin (\frac{π}{9}) \sin (\frac{7 π}{18})$
11915	Simplify	cos(pi/9)	$\cos (\frac{π}{9})$
11916	Simplify	cos(arcsec(u))	$\cos (arcsec (u))$
11917	Simplify	cos(pi/6)+sin(pi/3)	$\cos (\frac{π}{6}) + \sin (\frac{π}{3})$
11918	Simplify	cos(-pi/7)cos(pi/8)+sin(pi/7)sin(pi/8)	$\cos (- \frac{π}{7}) \cos (\frac{π}{8}) + \sin (\frac{π}{7}) \sin (\frac{π}{8})$
11919	Simplify	cos(pi/4)+cos(pi/4)	$\cos (\frac{π}{4}) + \cos (\frac{π}{4})$
11920	Simplify	cos(pi/4)tan(pi/6)+2tan(pi/3)	$\cos (\frac{π}{4}) \tan (\frac{π}{6}) + 2 \tan (\frac{π}{3})$
11921	Simplify	cos(pi/4+pi/3)	$\cos (\frac{π}{4} + \frac{π}{3})$
11922	Simplify	cos(pi/5)*(cos((2pi)/5)cos((4pi)/5)cos((8pi)/5))	$\cos (\frac{π}{5}) \cdot (\cos (\frac{2 π}{5}) \cos (\frac{4 π}{5}) \cos (\frac{8 π}{5}))$
11923	Simplify	cos(pi/3)+sin((4pi)/3)	$\cos (\frac{π}{3}) + \sin (\frac{4 π}{3})$
11924	Simplify	cos(pi/3)+sin(pi/2)	$\cos (\frac{π}{3}) + \sin (\frac{π}{2})$
11925	Simplify	cos(pi/3)sec(pi/3)-cot(pi/6)	$\cos (\frac{π}{3}) \sec (\frac{π}{3}) - \cot (\frac{π}{6})$
11926	Simplify	cos(pi/3)-sin((3pi)/2)	$\cos (\frac{π}{3}) - \sin (\frac{3 π}{2})$
11927	Simplify	cos(pi/3-x)-cos(pi/3+x)	$\cos (\frac{π}{3} - x) - \cos (\frac{π}{3} + x)$
11928	Simplify	cos((9pi)/4)	$\cos (\frac{9 π}{4})$
11929	Simplify	cos((8pi)/3)	$\cos (\frac{8 π}{3})$
11930	Simplify	cos(pi/2+a)cos(pi/2-a)-sin(pi/2+a)sin(pi/2-a)	$\cos (\frac{π}{2} + a) \cos (\frac{π}{2} - a) - \sin (\frac{π}{2} + a) \sin (\frac{π}{2} - a)$
11931	Simplify	cos(pi/20)	$\cos (\frac{π}{20})$
11932	Simplify	cos(pi/2-x)csc(x)	$\cos (\frac{π}{2} - x) \csc (x)$
11933	Simplify	cos(pi/2-x)csc(-x)	$\cos (\frac{π}{2} - x) \csc (- x)$
11934	Simplify	cos((7pi)/10)cos((8pi)/15)+sin((7pi)/10)sin((8pi)/15)	$\cos (\frac{7 π}{10}) \cos (\frac{8 π}{15}) + \sin (\frac{7 π}{10}) \sin (\frac{8 π}{15})$
11935	Simplify	cos(pi/12)cos(pi/12)-sin(pi/12)sin(pi/12)	$\cos (\frac{π}{12}) \cos (\frac{π}{12}) - \sin (\frac{π}{12}) \sin (\frac{π}{12})$
11936	Simplify	cos(pi/12)-sin(pi/12)	$\cos (\frac{π}{12}) - \sin (\frac{π}{12})$
11937	Simplify	cos(pi/12)cos(-pi/12)+sin(pi/12)sin(-pi/12)	$\cos (\frac{π}{12}) \cos (- \frac{π}{12}) + \sin (\frac{π}{12}) \sin (- \frac{π}{12})$
11938	Simplify	cos(pi/2)cos(pi/6)+sin(pi/2)sin(pi/6)	$\cos (\frac{π}{2}) \cos (\frac{π}{6}) + \sin (\frac{π}{2}) \sin (\frac{π}{6})$
11939	Simplify	cos(pi/2)cos(x)+sin(pi/2)sin(x)	$\cos (\frac{π}{2}) \cos (x) + \sin (\frac{π}{2}) \sin (x)$
11940	Simplify	90*pi/180	$90 \cdot \frac{π}{180}$
11941	Simplify	90*tan(30)	$90 \cdot \tan (30)$
11942	Simplify	9sec(a)^2-9tan(a)^2	$9 \sec^{2} (a) - 9 \tan^{2} (a)$
11943	Simplify	9x^2-12x-2+3x	$9 x^{2} - 12 x - 2 + 3 x$
11944	Simplify	9+16-24cos(51)	$9 + 16 - 24 \cos (51)$
11945	Simplify	9-tan(x)^2	$9 - \tan^{2} (x)$
11946	Simplify	9x^2-7	$9 x^{2} - 7$
11947	Simplify	90-27	$90 - 27$
11948	Simplify	93.5*cos(2790)	$93.5 \cdot \cos (2790)$
11949	Simplify	9sin(-t)-sin(t)	$9 \sin (- t) - \sin (t)$
11950	Simplify	9tan(-x)cos(x)	$9 \tan (- x) \cos (x)$
11951	Simplify	9sec(pi/3)cos(pi/3)-tan(pi/6)	$9 \sec (\frac{π}{3}) \cos (\frac{π}{3}) - \tan (\frac{π}{6})$
11952	Simplify	a(a-2)-b(b-2)	$a (a - 2) - b (b - 2)$
11953	Simplify	ab	$a b$
11954	Simplify	arccos(sin((7pi)/6))	$\arccos (\sin (\frac{7 π}{6}))$
11955	Simplify	arccsc(-1)	$arccsc (- 1)$
11956	Simplify	arccsc(2)	$arccsc (2)$
11957	Simplify	arccos(6/21)	$\arccos (\frac{6}{21})$
11958	Simplify	arccsc(sec((2pi)/3))	$arccsc (\sec (\frac{2 π}{3}))$
11959	Simplify	arcsec(1)	$arcsec (1)$
11960	Simplify	arccot(- square root of 3)-arccot(0)	$arccot (- \sqrt{3}) - arccot (0)$
11961	Simplify	arccos(7/8)	$\arccos (\frac{7}{8})$
11962	Simplify	arccos(-5)	$\arccos (- 5)$
11963	Simplify	arccos(cos(-pi/4))	$\arccos (\cos (- \frac{π}{4}))$
11964	Simplify	arcsin(1/2)+arccos(( square root of 3)/2)	$\arcsin (\frac{1}{2}) + \arccos (\frac{\sqrt{3}}{2})$
11965	Simplify	arcsin((10(sin(15)))/5)	$\arcsin (\frac{10 (\sin (15))}{5})$
11966	Simplify	arcsin(0.2)	$\arcsin (0.2)$
11967	Simplify	arcsin(cos(x))	$\arcsin (\cos (x))$
11968	Simplify	arcsin(sin(-(5pi)/4))	$\arcsin (\sin (- \frac{5 π}{4}))$
11969	Simplify	arctan(tan((4pi)/3))	$\arctan (\tan (\frac{4 π}{3}))$
11970	Simplify	cos(0.814)	$\cos (0.814)$
11971	Simplify	arcsin(n)(-5/2pi)+a/2cos(8pi)-(a/2+1)cos(0)	$\arcsin (n) (- \frac{5}{2} \cdot π) + \frac{a}{2} \cdot \cos (8 π) - (\frac{a}{2} + 1) \cos (0)$
11972	Simplify	cos(x)(2cos(x)-1)	$\cos (x) (2 \cos (x) - 1)$
11973	Simplify	cos(x)(cos(x)+tan(x)^2cos(x))	$\cos (x) (\cos (x) + \tan^{2} (x) \cos (x))$
11974	Simplify	cos(x)(1/(sin(x))+csc(x))	$\cos (x) (\frac{1}{\sin (x)} + \csc (x))$
11975	Simplify	cos(x)((sin(x))/(cos(x))+(cos(x))/(sin(x)))	$\cos (x) (\frac{\sin (x)}{\cos (x)} + \frac{\cos (x)}{\sin (x)})$
11976	Simplify	arctan(1/x)	$\arctan (\frac{1}{x})$
11977	Simplify	arctan(2/-2)+pi	$\arctan (\frac{2}{- 2}) + π$
11978	Simplify	arctan(2/3)	$\arctan (\frac{2}{3})$
11979	Simplify	arcsin(cos((4pi)/3))	$\arcsin (\cos (\frac{4 π}{3}))$
11980	Simplify	arcsin(cos(pi/3))	$\arcsin (\cos (\frac{π}{3}))$
11981	Simplify	arcsin(sin((3pi)/5))-arccos(cos((3pi)/5))	$\arcsin (\sin (\frac{3 π}{5})) - \arccos (\cos (\frac{3 π}{5}))$
11982	Simplify	arctan(1/3)	$\arctan (\frac{1}{3})$
11983	Simplify	(arcsin(x)*20)/24	$\frac{\arcsin (x) \cdot 20}{24}$
11984	Simplify	arcsin(x)+arccos(x)	$\arcsin (x) + \arccos (x)$
11985	Simplify	arctan(sin(pi/2))	$\arctan (\sin (\frac{π}{2}))$
11986	Simplify	arctan(9)	$\arctan (9)$
11987	Simplify	arcsin(tan(x))	$\arcsin (\tan (x))$
11988	Simplify	arctan(3/2)	$\arctan (\frac{3}{2})$
11989	Simplify	arctan(-8/5)	$\arctan (- \frac{8}{5})$
11990	Simplify	arctan((sin(x))/(cos(x)))	$\arctan (\frac{\sin (x)}{\cos (x)})$
11991	Simplify	cos((11pi)/6-x)	$\cos (\frac{11 π}{6} - x)$
11992	Simplify	cos((13pi)/15)cos((-pi)/5)-sin((13pi)/15)sin((-pi)/5)	$\cos (\frac{13 π}{15}) \cos (\frac{- π}{5}) - \sin (\frac{13 π}{15}) \sin (\frac{- π}{5})$
11993	Simplify	cos((13pi)/30)cos((2pi)/5)-sin((13pi)/30)sin((2pi)/5)	$\cos (\frac{13 π}{30}) \cos (\frac{2 π}{5}) - \sin (\frac{13 π}{30}) \sin (\frac{2 π}{5})$
11994	Simplify	cos((11pi)/18)cos((2pi)/9)-sin((11pi)/18)sin((2pi)/9)	$\cos (\frac{11 π}{18}) \cos (\frac{2 π}{9}) - \sin (\frac{11 π}{18}) \sin (\frac{2 π}{9})$
11995	Simplify	cos((11pi)/3)	$\cos (\frac{11 π}{3})$
11996	Simplify	cos(1/4)	$\cos (\frac{1}{4})$
11997	Simplify	cos(1/2x)	$\cos (\frac{1}{2} x)$
11998	Simplify	cos(1/5)	$\cos (\frac{1}{5})$
11999	Simplify	cos(x)(sec(x)+csc(x)cot(x))	$\cos (x) (\sec (x) + \csc (x) \cot (x))$
12000	Simplify	cos(x+pi)	$\cos (x + π)$