Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
10801	Simplify	sin(arctan(x)-arctan(y))	$\sin (\arctan (x) - \arctan (y))$
10802	Simplify	sin(b)csc(b)	$\sin (b) \csc (b)$
10803	Simplify	sin(arccsc(x))	$\sin (arccsc (x))$
10804	Simplify	sin(arcsin(3/5))	$\sin (\arcsin (\frac{3}{5}))$
10805	Simplify	sin(arcsin(x))+arccos(x)	$\sin (\arcsin (x)) + \arccos (x)$
10806	Simplify	sin(arcsin(1/2))	$\sin (\arcsin (\frac{1}{2}))$
10807	Simplify	sin(arctan(-3/4))	$\sin (\arctan (- \frac{3}{4}))$
10808	Simplify	sin(arctan(4x)-arccos(x))	$\sin (\arctan (4 x) - \arccos (x))$
10809	Simplify	sin(arccot(3x))	$\sin (arccot (3 x))$
10810	Solve for x	x=14.1/(cos(75))	$x = \frac{14.1}{\cos (75)}$
10811	Solve for x	x(x-4)>0	$x (x - 4) > 0$
10812	Solve for x	tan(x)=-2/5	$\tan (x) = - \frac{2}{5}$
10813	Solve for x	sin(x+pi/3)=( square root of 2)/2	$\sin (x + \frac{π}{3}) = \frac{\sqrt{2}}{2}$
10814	Solve for x	tan(x)+( square root of 3)/(tan(x))<1+ square root of 3	$\tan (x) + \frac{\sqrt{3}}{\tan (x)} < 1 + \sqrt{3}$
10815	Solve for x	tan(x)=tan(pi/5)	$\tan (x) = \tan (\frac{π}{5})$
10816	Solve for x	tan(2x) = square root of 3	$\tan (2 x) = \sqrt{3}$
10817	Solve for x	tan(x)+3=0	$\tan (x) + 3 = 0$
10818	Solve for x	sin(2x)sin(x)=cos(x)	$\sin (2 x) \sin (x) = \cos (x)$
10819	Solve for x	sin(40)=x/33	$\sin (40) = \frac{x}{33}$
10820	Solve for x	sin(x)+0.432=0	$\sin (x) + 0.432 = 0$
10821	Solve for x	sin(x)+2sin(2x) = square root of x	$\sin (x) + 2 \sin (2 x) = \sqrt{x}$
10822	Solve for x	sin(x)=1/x-1	$\sin (x) = \frac{1}{x} - 1$
10823	Solve for x	sin(x)=9/11	$\sin (x) = \frac{9}{11}$
10824	Solve for x	sec(x)-sec(x)sin(x)^2=cos(x)	$\sec (x) - \sec (x) \sin^{2} (x) = \cos (x)$
10825	Solve for x	sin((7pi)/6)+sin(2((7pi)/6))=(sin(x)+sin(2x)((7pi)/6))	$\sin (\frac{7 π}{6}) + \sin (2 (\frac{7 π}{6})) = (\sin (x) + \sin (2 x) (\frac{7 π}{6}))$
10826	Solve for x	log of 5x+ log of x-2=2	$\log (5 x) + \log (x - 2) = 2$
10827	Solve for x	log of -5x = log of 10-3x	$\log (- 5 x) = \log (10 - 3 x)$
10828	Solve for x	cos(4x)=-1/2	$\cos (4 x) = - \frac{1}{2}$
10829	Solve for x	cos(5x)=-1/2	$\cos (5 x) = - \frac{1}{2}$
10830	Solve for x	5csc(x)-3=2	$5 \csc (x) - 3 = 2$
10831	Solve for x	9(5x-2)=45	$9 (5 x - 2) = 45$
10832	Solve for x	4e^(x^2)=9	$4 e^{x^{2}} = 9$
10833	Solve for x	5x^2-3x-17=0	$5 x^{2} - 3 x - 17 = 0$
10834	Solve for x	6x+2=8x-14	$6 x + 2 = 8 x - 14$
10835	Solve for x	cot(3x)<0	$\cot (3 x) < 0$
10836	Solve for x	cos(x)=-( square root of 3)/2	$\cos (x) = - \frac{\sqrt{3}}{2}$
10837	Solve for x	cos(x)=8/18	$\cos (x) = \frac{8}{18}$
10838	Solve for x	4 natural log of 3x=12	$4 \ln (3 x) = 12$
10839	Solve for x	4x-18>2	$4 x - 18 > 2$
10840	Solve for x	5sin(x)+3=4	$5 \sin (x) + 3 = 4$
10841	Solve for x	6cos(x)^2+cos(x)=1	$6 \cos^{2} (x) + \cos (x) = 1$
10842	Solve for x	7cos(x)^2+14cos(x)+7=0	$7 \cos^{2} (x) + 14 \cos (x) + 7 = 0$
10843	Solve for x	9x^2-4x-2=0	$9 x^{2} - 4 x - 2 = 0$
10844	Solve for x	tan(x)=-7	$\tan (x) = - 7$
10845	Solve for y	25=y^2	$25 = y^{2}$
10846	Solve for y	10^y=3	$10^{y} = 3$
10847	Solve for x	tan(x) = square root of 3/2	$\tan (x) = \sqrt{\frac{3}{2}}$
10848	Solve for x	x+5cos(x)=0	$x + 5 \cos (x) = 0$
10849	Solve for y	log of (81)^y< log of (27)^(y+3)	$\log ({(81)}^{y}) < \log ({(27)}^{y + 3})$
10850	Solve for y	cos(27)=5/y	$\cos (27) = \frac{5}{y}$
10851	Solve for y	y=-2\|x\|	$y = - 2 \| x \|$
10852	Solve for y	-3(y+4)+25=3(5-y)	$- 3 (y + 4) + 25 = 3 (5 - y)$
10853	Solve for y	y=0.6(3^-2)	$y = 0.6 (3^{- 2})$
10854	Solve for y	y=3sin(0)	$y = 3 \sin (0)$
10855	Solve for y	y=sin(arctan(-8))	$y = \sin (\arctan (- 8))$
10856	Solve for z	3^2+4^2=z^2	$3^{2} + 4^{2} = z^{2}$
10857	Solve for z	z=i^59	$z = i^{59}$
10858	Solve for x	\|x/3+2\|=2	$\| \frac{x}{3} + 2 \| = 2$
10859	Solve for x	(x^2-6x+9)/(x-5)=0	$\frac{x^{2} - 6 x + 9}{x - 5} = 0$
10860	Solve for x	\|3x-6\|+4=22	$\| 3 x - 6 \| + 4 = 22$
10861	Solve for x	\|7x+14\|=35	$\| 7 x + 14 \| = 35$
10862	Solve for x	x^2+8x>-12	$x^{2} + 8 x > - 12$
10863	Solve for x	7x-7y=12	$7 x - 7 y = 12$
10864	Solve for x	7-(3x-1)/2=-3/4	$7 - \frac{3 x - 1}{2} = - \frac{3}{4}$
10865	Solve for n	n^2-4n+4>0	$n^{2} - 4 n + 4 > 0$
10866	Solve for x	2y+4x=6y+4x	$2 y + 4 x = 6 y + 4 x$
10867	Solve for x	5x+2=9x+6	$5 x + 2 = 9 x + 6$
10868	Solve for x	3\|x+8\|+3=18	$3 \| x + 8 \| + 3 = 18$
10869	Solve for x	-7x+3<24	$- 7 x + 3 < 24$
10870	Graph the Line Segment	(3/4,0) , (0,5/8)	$(\frac{3}{4}, 0)$ , $(0, \frac{5}{8})$
10871	Multiply	(11x-7y)(10x-8y)	$(11 x - 7 y) (10 x - 8 y)$
10872	Multiply	(3i+j)*(i+3j)	$(3 i + j) \cdot (i + 3 j)$
10873	Multiply	(7v-5x-3)(6v-2)	$(7 v - 5 x - 3) (6 v - 2)$
10874	Multiply	(5x+3y)(5x-3y)	$(5 x + 3 y) (5 x - 3 y)$
10875	Multiply	(-5.37/3)*32.7/12.7	$(- \frac{5.37}{3}) \cdot \frac{32.7}{12.7}$
10876	Multiply	((2x)/(3y))((9y)/(4x^2))	$(\frac{2 x}{3 y}) (\frac{9 y}{4 x^{2}})$
10877	Multiply	(-13+13i)(-3-3i)	$(- 13 + 13 i) (- 3 - 3 i)$
10878	Multiply	(-3x)(4x-1)	$(- 3 x) (4 x - 1)$
10879	Graph the Line Segment	(3,-2) , (-5,7)	$p (3, - 2)$ , $q (- 5, 7)$
10880	Multiply	2p(3000)^2(1000)^2	$2 p {(3000)}^{2} {(1000)}^{2}$
10881	Multiply	50*pi/180	$50 \cdot \frac{π}{180}$
10882	Multiply	6*(7 square root of 37)/37	$6 \cdot \frac{7 \sqrt{37}}{37}$
10883	Multiply	700*180	$700 \cdot 180$
10884	Multiply	2p*1/2	$2 p \cdot \frac{1}{2}$
10885	Multiply	-8i*(3i)	$- 8 i \cdot (3 i)$
10886	Multiply	pi/2(rad)	$\frac{π}{2} \cdot (r a d i a n s)$
10887	Multiply	2(y-5)=16	$2 (y - 5) = 16$
10888	Multiply	((5r^2s)/(2t^3))^-1((8rs^3)/(7t^2))	${(\frac{5 r^{2} s}{2 t^{3}})}^{- 1} (\frac{8 r s^{3}}{7 t^{2}})$
10889	Multiply	(125x^6)^(2/3)	${(125 x^{6})}^{\frac{2}{3}}$
10890	Multiply	(x-y)(y-x)	$(x - y) (y - x)$
10891	Multiply	((a^2)/(b^3))^-3	${(\frac{a^{2}}{b^{3}})}^{- 3}$
10892	Multiply	(x+5)(x+9)	$(x + 5) (x + 9)$
10893	Multiply	(x+yi)(x-yi)	$(x + y i) (x - y i)$
10894	Multiply	(r-5)(2r+7)	$(r - 5) (2 r + 7)$
10895	Multiply	(7+ square root of 10)(7+ square root of 10)	$(7 + \sqrt{10}) (7 + \sqrt{10})$
10896	Simplify	( square root of 6(cos(120)+isin(120)))^4	${(\sqrt{6} (\cos (120) + i \sin (120)))}^{4}$
10897	Simplify	(((v-7)(v+8))/((v+8)(v-10)))/(1/(v-10))	$\frac{\frac{(v - 7) (v + 8)}{(v + 8) (v - 10)}}{\frac{1}{v - 10}}$
10898	Simplify	((t+1)(t^2-1))/((t-1)(t+1)^2)	$\frac{(t + 1) (t^{2} - 1)}{(t - 1) {(t + 1)}^{2}}$
10899	Simplify	( square root of 14(cos(120)+i*sin(120)))^4	${(\sqrt{14} (\cos (120) + i \cdot \sin (120)))}^{4}$
10900	Simplify	( square root of 14(cos(85)+isin(85)))^6	${(\sqrt{14} (\cos (85) + i \sin (85)))}^{6}$