Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
7001	Factor over the Complex Numbers	(cos(a))/(sec(a))+(sin(a))/(csc(a))	$\frac{\cos (a)}{\sec (a)} + \frac{\sin (a)}{\csc (a)}$
7002	Convert to a Percentage	pi/4	$\frac{π}{4}$
7003	Find the Average Rate of Change	(0,1) , r=10	$(0, 1)$ , $r = 10$
7004	Convert to a Percentage	pi/3	$\frac{π}{3}$
7005	Expand Using De Moivre's Theorem	tan(2x)	$\tan (2 x)$
7006	Expand Using De Moivre's Theorem	sin(3x)	$\sin (3 x)$
7007	Expand Using De Moivre's Theorem	f(x)	$f (x)$
7008	Expand Using De Moivre's Theorem	-5+5i	$- 5 + 5 i$
7009	Expand Using De Moivre's Theorem	cos((5pi)/12)	$\cos (\frac{5 π}{12})$
7010	Expand Using De Moivre's Theorem	8(cos(30)+isin(30))	$8 (\cos (30) + i \sin (30))$
7011	Expand Using De Moivre's Theorem	cos(22.5)	$\cos (22.5)$
7012	Expand Using De Moivre's Theorem	cos(arctan(x))	$\cos (\arctan (x))$
7013	Expand Using De Moivre's Theorem	cos(15)	$\cos (15)$
7014	Expand Using De Moivre's Theorem	2cos(x)^2cos(x)^2	$2 \cos^{2} (x) \cos^{2} (x)$
7015	Expand Using De Moivre's Theorem	1+cos(8x)	$1 + \cos (8 x)$
7016	Find the Quadrant of the Angle	tan(15)	$\tan (15)$
7017	Expand Using De Moivre's Theorem	(2+2i)^5	${(2 + 2 i)}^{5}$
7018	Expand Using De Moivre's Theorem	(1-i)^10	${(1 - i)}^{10}$
7019	Find the Quadrant of the Angle	sin(75)	$\sin (75)$
7020	Expand Using De Moivre's Theorem	(1/4*(cos(pi/10)+isin(pi/10)))^5	${(\frac{1}{4} \cdot (\cos (\frac{π}{10}) + i \sin (\frac{π}{10})))}^{5}$
7021	Expand Using De Moivre's Theorem	(1/2*(cos(pi/10)+isin(pi/10)))^5	${(\frac{1}{2} \cdot (\cos (\frac{π}{10}) + i \sin (\frac{π}{10})))}^{5}$
7022	Expand Using De Moivre's Theorem	(3-3i)^6	${(3 - 3 i)}^{6}$
7023	Evaluate	( square root of 13-6)^2	${(\sqrt{13} - 6)}^{2}$
7024	Evaluate	( square root of 11)/6	$\frac{\sqrt{11}}{6}$
7025	Evaluate	( square root of 15)/4	$\frac{\sqrt{15}}{4}$
7026	Evaluate	( square root of 17)/4	$\frac{\sqrt{17}}{4}$
7027	Evaluate	( square root of 7)/( square root of 42)	$\frac{\sqrt{7}}{\sqrt{42}}$
7028	Evaluate	( square root of 34)/3	$\frac{\sqrt{34}}{3}$
7029	Evaluate	( square root of -56)/( square root of -7)	$\frac{\sqrt{- 56}}{\sqrt{- 7}}$
7030	Evaluate	(- square root of 6- square root of 2)/4	$\frac{- \sqrt{6} - \sqrt{2}}{4}$
7031	Evaluate	(3 square root of 3)/6	$\frac{3 \sqrt{3}}{6}$
7032	Evaluate	(200 square root of 3)/3	$\frac{200 \sqrt{3}}{3}$
7033	Convert to Trigonometric Form	8+i	$8 + i$
7034	Convert to Rectangular	(6(cos(110)+isin(110)))^3	${(6 (\cos (110) + i \sin (110)))}^{3}$
7035	Convert to Rectangular	12(cos(60)+isin(60))	$12 (\cos (60) + i \sin (60))$
7036	Convert to Trigonometric Form	square root of 3- square root of 3i	$\sqrt{3} - \sqrt{3 i}$
7037	Convert to Trigonometric Form	0+3i	$0 + 3 i$
7038	Convert to Trigonometric Form	(1-i)^9	${(1 - i)}^{9}$
7039	Convert to Trigonometric Form	(1-i)^12	${(1 - i)}^{12}$
7040	Convert to Trigonometric Form	(-1-2i)^6	${(- 1 - 2 i)}^{6}$
7041	Convert to a Decimal	(7pi)/6	$\frac{7 π}{6}$
7042	Convert to Trigonometric Form	(3-2i)*(7+6i)	$(3 - 2 i) \cdot (7 + 6 i)$
7043	Convert to Trigonometric Form	(4 square root of 3-4i)*(8i)	$(4 \sqrt{3} - 4 i) \cdot (8 i)$
7044	Convert to Trigonometric Form	-6+6 square root of 3i	$- 6 + 6 \sqrt{3 i}$
7045	Convert to Trigonometric Form	-6+6i	$- 6 + 6 i$
7046	Convert to Trigonometric Form	-64i	$- 64 i$
7047	Convert to Trigonometric Form	6-i	$6 - i$
7048	Convert to Trigonometric Form	-7+4i	$- 7 + 4 i$
7049	Convert to Trigonometric Form	-5-3i	$- 5 - 3 i$
7050	Convert to Trigonometric Form	5+7i	$5 + 7 i$
7051	Convert to Trigonometric Form	5+4i	$5 + 4 i$
7052	Convert to Trigonometric Form	3 square root of 3-3i	$3 \sqrt{3} - 3 i$
7053	Convert to Trigonometric Form	3 square root of 2-3 square root of 2i	$3 \sqrt{2} - 3 \sqrt{2 i}$
7054	Convert to Trigonometric Form	4+3i	$4 + 3 i$
7055	Convert to Trigonometric Form	-4+3i	$- 4 + 3 i$
7056	Convert to Trigonometric Form	3i-2	$3 i - 2$
7057	Convert to Trigonometric Form	-20+21i	$- 20 + 21 i$
7058	Convert to Trigonometric Form	-2+2i square root of 3	$- 2 + 2 i \sqrt{3}$
7059	Convert to Trigonometric Form	-2-4i	$- 2 - 4 i$
7060	Convert to Trigonometric Form	1-i square root of 3	$1 - i \sqrt{3}$
7061	Evaluate	tan(7/24)	$\tan (\frac{7}{24})$
7062	Evaluate	sec(120 degrees )	$\sec (120 °)$
7063	Evaluate	tan(3/8)	$\tan (\frac{3}{8})$
7064	Evaluate	tan(3/4)	$\tan (\frac{3}{4})$
7065	Evaluate	tan(130)	$\tan (130)$
7066	Evaluate	sin(-90)	$\sin (- 90)$
7067	Evaluate	sin(53)	$\sin (53)$
7068	Evaluate	sin(59)	$\sin (59)$
7069	Evaluate	sin(390)	$\sin (390)$
7070	Evaluate	sin(42)	$\sin (42)$
7071	Evaluate	sin(312)	$\sin (312)$
7072	Evaluate	sin(32)	$\sin (32)$
7073	Evaluate	sin(37)	$\sin (37)$
7074	Evaluate	sin(22.5)cos(22.5)	$\sin (22.5) \cos (22.5)$
7075	Evaluate	sin(40 degrees )	$\sin (40 °)$
7076	Evaluate	sin(220)	$\sin (220)$
7077	Evaluate	sin(195)	$\sin (195)$
7078	Evaluate	cos(315 degrees )	$\cos (315 °)$
7079	Evaluate	sec(-60 degrees )	$\sec (- 60 °)$
7080	Evaluate	sin(100)	$\sin (100)$
7081	Evaluate	sin((11pi)/9)	$\sin (\frac{11 π}{9})$
7082	Evaluate	sin((5pi)/8)	$\sin (\frac{5 π}{8})$
7083	Evaluate	sin(10 degrees )	$\sin (10 °)$
7084	Evaluate	sin(pi/8)*cos(pi/8)	$\sin (\frac{π}{8}) \cdot \cos (\frac{π}{8})$
7085	Evaluate	sin(arcsin(-0.6))	$\sin (\arcsin (- 0.6))$
7086	Evaluate	sin(-pi/5)	$\sin (- \frac{π}{5})$
7087	Evaluate	(2pi)/4.5	$\frac{2 π}{4.5}$
7088	Evaluate	(13pi)/8	$\frac{13 π}{8}$
7089	Evaluate	(11pi)/6+2pi	$\frac{11 π}{6} + 2 π$
7090	Evaluate	tan(5)	$\tan (5)$
7091	Evaluate	tan(50)	$\tan (50)$
7092	Evaluate	tan(240)	$\tan (240)$
7093	Evaluate	tan(72)	$\tan (72)$
7094	Evaluate	tan(8)	$\tan (8)$
7095	Convert from Radians to Degrees	(2pi)/4	$\frac{2 π}{4}$
7096	Evaluate	cos(330 degrees )	$\cos (330 °)$
7097	Evaluate	4-2e+3-e	$4 - 2 e + 3 - e$
7098	Evaluate	cos((19pi)/6)	$\cos (\frac{19 π}{6})$
7099	Evaluate	cot(-45 degrees )	$\cot (- 45 °)$
7100	Evaluate	3p*180/p	$3 p \cdot \frac{180}{p}$