Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12701	Simplify	sin((4pi)/7)cos((5pi)/21)-cos((4pi)/7)sin((5pi)/21)	$\sin (\frac{4 π}{7}) \cos (\frac{5 π}{21}) - \cos (\frac{4 π}{7}) \sin (\frac{5 π}{21})$
12702	Simplify	sin((11pi)/12)-sin((7pi)/12)	$\sin (\frac{11 π}{12}) - \sin (\frac{7 π}{12})$
12703	Simplify	sin((23pi)/4)cos((5pi)/6)+cos((23pi)/4)sin((5pi)/6)	$\sin (\frac{23 π}{4}) \cos (\frac{5 π}{6}) + \cos (\frac{23 π}{4}) \sin (\frac{5 π}{6})$
12704	Simplify	sin((11pi)/4)	$\sin (\frac{11 π}{4})$
12705	Simplify	sin(-(13pi)/4)	$\sin (- \frac{13 π}{4})$
12706	Simplify	sin(-pi/6)	$\sin (- \frac{π}{6})$
12707	Simplify	sin(pi/4+x)+sin(pi/4-x)	$\sin (\frac{π}{4} + x) + \sin (\frac{π}{4} - x)$
12708	Simplify	sin(pi/4)cos(pi/6)-cos(pi/4)sin(pi/6)	$\sin (\frac{π}{4}) \cos (\frac{π}{6}) - \cos (\frac{π}{4}) \sin (\frac{π}{6})$
12709	Simplify	sin(pi/3)+cos(pi/3)	$\sin (\frac{π}{3}) + \cos (\frac{π}{3})$
12710	Simplify	sin(-pi/4)	$\sin (- \frac{π}{4})$
12711	Simplify	sin(pi/3)cos(pi/2)+cos(pi/3)sin(pi/2)	$\sin (\frac{π}{3}) \cos (\frac{π}{2}) + \cos (\frac{π}{3}) \sin (\frac{π}{2})$
12712	Simplify	sin(pi/3)cos(pi/3)-tan(pi/4)	$\sin (\frac{π}{3}) \cos (\frac{π}{3}) - \tan (\frac{π}{4})$
12713	Simplify	sin(arctan(-1))	$\sin (\arctan (- 1))$
12714	Simplify	sin(arctan(-4))	$\sin (\arctan (- 4))$
12715	Simplify	sin(pi/6)cos((7pi)/12)+cos(pi/6)sin((7pi)/12)	$\sin (\frac{π}{6}) \cos (\frac{7 π}{12}) + \cos (\frac{π}{6}) \sin (\frac{7 π}{12})$
12716	Simplify	sin(pi/6)cos(pi/4)-tan(x/4)	$\sin (\frac{π}{6}) \cos (\frac{π}{4}) - \tan (\frac{x}{4})$
12717	Simplify	sin(1350)	$\sin (1350)$
12718	Simplify	sin(-120)	$\sin (- 120)$
12719	Simplify	-sin(0-pi/4)	$- \sin (0 - \frac{π}{4})$
12720	Simplify	sin(x^4)	$\sin (x^{4})$
12721	Simplify	sin(10)cos(20)+cos(10)sin(20)	$\sin (10) \cos (20) + \cos (10) \sin (20)$
12722	Simplify	sin(10pi)	$\sin (10 π)$
12723	Simplify	( cube root of x-5)^3+1	${(\sqrt[3]{x - 5})}^{3} + 1$
12724	Simplify	sin(x/4)cos(x/4)	$\sin (\frac{x}{4}) \cos (\frac{x}{4})$
12725	Simplify	sec(x-pi)	$\sec (x - π)$
12726	Simplify	(2x(1-x^2)^(1/3)+2/3x^3(1-x^2)^(-2/3))/((1-x^2)^(2/3))	$\frac{2 x {(1 - x^{2})}^{\frac{1}{3}} + \frac{2}{3} x^{3} {(1 - x^{2})}^{- \frac{2}{3}}}{{(1 - x^{2})}^{\frac{2}{3}}}$
12727	Simplify	8/( cube root of 5^2)	$\frac{8}{\sqrt[3]{5^{2}}}$
12728	Simplify	sec(arctan(1/2x))	$\sec (\arctan (\frac{1}{2} x))$
12729	Simplify	sec(arctan(4x))	$\sec (\arctan (4 x))$
12730	Simplify	sec(arctan(x))	$\sec (\arctan (x))$
12731	Simplify	sec(arctan(x-1))	$\sec (\arctan (x - 1))$
12732	Simplify	-5(1/2)^n	$- 5 {(\frac{1}{2})}^{n}$
12733	Simplify	sec((19pi)/6)	$\sec (\frac{19 π}{6})$
12734	Simplify	sec((13pi)/4)	$\sec (\frac{13 π}{4})$
12735	Simplify	sec(pi/2)	$\sec (\frac{π}{2})$
12736	Simplify	sec(x)-tan(x)sin(x)+(sin(2x))/(2sin(x))	$\sec (x) - \tan (x) \sin (x) + \frac{\sin (2 x)}{2 \sin (x)}$
12737	Simplify	Pe^1.96	$P e^{1.96}$
12738	Simplify	(l(ky))/(3l)+ky	$\frac{l (k y)}{3 l} + k y$
12739	Simplify	sec(x)((sin(x))/(tan(x)))	$\sec (x) (\frac{\sin (x)}{\tan (x)})$
12740	Simplify	sec(x^7)	$\sec (x^{7})$
12741	Simplify	sec(x^2)+csc(x^2)	$\sec (x^{2}) + \csc (x^{2})$
12742	Simplify	sec(1)	$\sec (1)$
12743	Simplify	sec(20)	$\sec (20)$
12744	Simplify	sec(300)	$\sec (300)$
12745	Simplify	sec(arccos(x))	$\sec (\arccos (x))$
12746	Simplify	sec(arctan(1/5x))	$\sec (\arctan (\frac{1}{5} x))$
12747	Simplify	sec(arctan(1/7x))	$\sec (\arctan (\frac{1}{7} x))$
12748	Simplify	sec(arctan(1/8x))	$\sec (\arctan (\frac{1}{8} x))$
12749	Simplify	sec(75)	$\sec (75)$
12750	Simplify	sec(8pi)	$\sec (8 π)$
12751	Simplify	sec(54)	$\sec (54)$
12752	Simplify	sec(60)-sin(60)	$\sec (60) - \sin (60)$
12753	Simplify	sec(495)	$\sec (495)$
12754	Simplify	sin(9x)+cos(9x)	$\sin (9 x) + \cos (9 x)$
12755	Simplify	sin(9x)cos(5x)	$\sin (9 x) \cos (5 x)$
12756	Simplify	sin(arccos(x)+arcsin(x))	$\sin (\arccos (x) + \arcsin (x))$
12757	Simplify	sin(arccos(5x))	$\sin (\arccos (5 x))$
12758	Simplify	sin(8x)cos(x)-cos(8x)sin(x)	$\sin (8 x) \cos (x) - \cos (8 x) \sin (x)$
12759	Simplify	square root of 25x+ square root of x^5	$\sqrt{25 x} + \sqrt{x^{5}}$
12760	Simplify	sin(arctan(x/2))	$\sin (\arctan (\frac{x}{2}))$
12761	Simplify	sin(arctan(x)+arcsin(x))	$\sin (\arctan (x) + \arcsin (x))$
12762	Simplify	sin(arccos(1)*3/4)	$\sin (\arccos (1) \cdot \frac{3}{4})$
12763	Simplify	sin(6)	$\sin (6)$
12764	Simplify	sin(6x)-sin(4x)	$\sin (6 x) - \sin (4 x)$
12765	Simplify	sin(75)cos(15)+cos(105)sin(15)	$\sin (75) \cos (15) + \cos (105) \sin (15)$
12766	Simplify	sin(60)cos(15)-cos(60)sin(15)	$\sin (60) \cos (15) - \cos (60) \sin (15)$
12767	Simplify	sin(3pi-x)	$\sin (3 π - x)$
12768	Simplify	sin(7x)cos(3x)	$\sin (7 x) \cos (3 x)$
12769	Simplify	sin(7x)cos(6x)+cos(7x)sin(6x)	$\sin (7 x) \cos (6 x) + \cos (7 x) \sin (6 x)$
12770	Simplify	(2x^2y)/(xy-y)	$\frac{2 x^{2} y}{x y - y}$
12771	Simplify	sin(x)cot(y)	$\sin (x) \cot (y)$
12772	Simplify	(1/(x-1))^2-1	${(\frac{1}{x - 1})}^{2} - 1$
12773	Simplify	sin(x)cos(x)tan(x)	$\sin (x) \cos (x) \tan (x)$
12774	Simplify	sin(x)cos(x)tan(x)cot(x)	$\sin (x) \cos (x) \tan (x) \cot (x)$
12775	Simplify	sin(x)tan(x)-csc(x)tan(x)	$\sin (x) \tan (x) - \csc (x) \tan (x)$
12776	Simplify	sin(x+pi/3)+sin(x-pi/3)	$\sin (x + \frac{π}{3}) + \sin (x - \frac{π}{3})$
12777	Simplify	sin(x+pi/6)	$\sin (x + \frac{π}{6})$
12778	Simplify	sin(x-2pi)	$\sin (x - 2 π)$
12779	Simplify	sin(x)*cos(x)^2-sin(x)	$\sin (x) \cdot \cos^{2} (x) - \sin (x)$
12780	Simplify	sin(-x)*csc(-x)	$\sin (- x) \cdot \csc (- x)$
12781	Simplify	sin(2x)cos(x)-cos(2x)sin(x)	$\sin (2 x) \cos (x) - \cos (2 x) \sin (x)$
12782	Simplify	sin(-22.5)	$\sin (- 22.5)$
12783	Simplify	sin(2)A	$\sin (2) A$
12784	Simplify	sin(190)cos(70)-cos(190)sin(70)	$\sin (190) \cos (70) - \cos (190) \sin (70)$
12785	Simplify	sin(180-x)	$\sin (180 - x)$
12786	Simplify	sin(260)cos(20)-cos(260)sin(20)	$\sin (260) \cos (20) - \cos (260) \sin (20)$
12787	Simplify	sin(255)-sin(-15)	$\sin (255) - \sin (- 15)$
12788	Simplify	sin(23)cos(14)-cos(23)sin(14)	$\sin (23) \cos (14) - \cos (23) \sin (14)$
12789	Simplify	sin(2pi)+cos(2pi)	$\sin (2 π) + \cos (2 π)$
12790	Simplify	\| square root of 7-7\|	$\| \sqrt{7} - 7 \|$
12791	Simplify	sin(2x)csc(2x)-cos(2x)	$\sin (2 x) \csc (2 x) - \cos (2 x)$
12792	Simplify	sin(30)cos(60)+sin(60)cos(30)	$\sin (30) \cdot \cos (60) + \sin (60) \cdot \cos (30)$
12793	Simplify	sin(30)+cos(45)	$\sin (30) + \cos (45)$
12794	Simplify	sin(2x)tan(x)+cos(2x)	$\sin (2 x) \tan (x) + \cos (2 x)$
12795	Simplify	sin(2x)cos(2x)+sin(2x)cos(2x)	$\sin (2 x) \cos (2 x) + \sin (2 x) \cos (2 x)$
12796	Simplify	sin(2x)cos(2x)	$\sin (2 x) \cos (2 x)$
12797	Simplify	sin(3x)+sin(4x)	$\sin (3 x) + \sin (4 x)$
12798	Simplify	sin(38)-cos(52)	$\sin (38) - \cos (52)$
12799	Simplify	sin(30)cos(60)+cos(30)sin(60)	$\sin (30) \cos (60) + \cos (30) \sin (60)$
12800	Simplify	sin(30)cos(60)-cos(30)sin(60)	$\sin (30) \cos (60) - \cos (30) \sin (60)$