Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
22701	Convert to Trigonometric Form	i^22	$i^{22}$
22702	Convert to Trigonometric Form	(2-2i)^2	${(2 - 2 i)}^{2}$
22703	Convert to Trigonometric Form	i^-15	$i^{- 15}$
22704	Convert to Radians per Second	2200rev/min	$2200 r p m$
22705	Simplify	(150,20)+(25,290)	$(150, 20) + (25, 290)$
22706	Convert to Rectangular	7(cos(38)+isin(38))	$7 (\cos (38) + i \sin (38))$
22707	Convert to Rectangular	sec(37)rad	$\sec (37)$ radian
22708	Convert to Rectangular	sin(62 49/60)	$\sin (62 \frac{49}{60})$
22709	Convert to Rectangular	8(cos(330)+isin(330))	$8 (\cos (330) + i \sin (330))$
22710	Convert to Rectangular	cos(0)+isin(0)	$\cos (0) + i \sin (0)$
22711	Convert to Rectangular	csc(4 2/3*pi)	$\csc (4 \frac{2}{3} \cdot π)$
22712	Convert to Rectangular	6(cos(32)+isin(32))*(5(cos(4)+isin(4)))	$6 (\cos (32) + i \sin (32)) \cdot (5 (\cos (4) + i \sin (4)))$
22713	Convert to Rectangular	48(cos((17pi)/6)+isin((17pi)/6))	$48 (\cos (\frac{17 π}{6}) + i \sin (\frac{17 π}{6}))$
22714	Convert to Rectangular	4cos(240)-isin(240)	$4 \cos (240) - i \sin (240)$
22715	Convert to Rectangular	3(cos(-180)+isin(-180))	$3 (\cos (- 180) + i \sin (- 180))$
22716	Expand the Trigonometric Expression	csc(theta)	$\csc (θ)$
22717	Convert to Rectangular	(3cos(115)+isin(115))^4	${(3 \cos (115) + i \sin (115))}^{4}$
22718	Convert to Rectangular	10(cos(270)+isin(270))	$10 (\cos (270) + i \sin (270))$
22719	Convert to Rectangular	10(cos(315+isin(315)))	$10 (\cos (315 + i \sin (315)))$
22720	Convert to Rectangular	2(cos(90)+isin(90))*(5(sin(60)))	$2 (\cos (90) + i \sin (90)) \cdot (5 (\sin (60)))$
22721	Convert to Rectangular	2(cos(300)+isin(300))	$2 (\cos (300) + i \sin (300))$
22722	Convert to Rectangular	24cos(135)i+24sin(135)j	$24 \cos (135) i + 24 \sin (135) j$
22723	Convert to Rectangular	20(cos(300)+isin(300))	$20 (\cos (300) + i \sin (300))$
22724	Convert to Rectangular	(6(cos(50)+isin(50)))^3	${(6 (\cos (50) + i \sin (50)))}^{3}$
22725	Convert to Rectangular	6/7(cos(111)i)+6/7(sin(111)j)	$\frac{6}{7} \cdot (\cos (111) i) + \frac{6}{7} \cdot (\sin (111) j)$
22726	Convert to Rectangular	square root of 6cos(315)+isin(315)	$\sqrt{6} \cos (315) + i \sin (315)$
22727	Convert to Rectangular	0.5(cos(160)+isin(160))	$0.5 (\cos (160) + i \sin (160))$
22728	Convert to Rectangular	(3(cos(15)+isin(15)))^3	${(3 (\cos (15) + i \sin (15)))}^{3}$
22729	Convert to Rectangular	(3(cos(27)+isin(27)))^5	${(3 (\cos (27) + i \sin (27)))}^{5}$
22730	Convert to Rectangular	(5(cos(pi/20)+isin(pi/20)))^5	${(5 (\cos (\frac{π}{20}) + i \sin (\frac{π}{20})))}^{5}$
22731	Convert to Rectangular	1/4cos(200^0i)+1/4sin(200^0j)	$\frac{1}{4} \cdot \cos (200^{0} i) + \frac{1}{4} \cdot \sin (200^{0} j)$
22732	Convert to Trigonometric Form	8-7i	$8 - 7 i$
22733	Convert to Trigonometric Form	9+9i	$9 + 9 i$
22734	Convert to Trigonometric Form	9-12i	$9 - 12 i$
22735	Convert to Trigonometric Form	-9i	$- 9 i$
22736	Convert to Trigonometric Form	8i(8-3i)	$8 i (8 - 3 i)$
22737	Convert to Trigonometric Form	i(2-2i)	$i (2 - 2 i)$
22738	Convert to Rectangular	(1/4*(cos(pi/10)+isin(pi/10)))^5	${(\frac{1}{4} \cdot (\cos (\frac{π}{10}) + i \sin (\frac{π}{10})))}^{5}$
22739	Evaluate	2.8/( square root of 175)	$\frac{2.8}{\sqrt{175}}$
22740	Evaluate	(15-7 square root of 15)/(15+7 square root of 15)	$\frac{15 - 7 \sqrt{15}}{15 + 7 \sqrt{15}}$
22741	Evaluate	2/( square root of 54)	$\frac{2}{\sqrt{54}}$
22742	Evaluate	2/( square root of 300)	$\frac{2}{\sqrt{300}}$
22743	Evaluate	(3 square root of 13)/13	$\frac{3 \sqrt{13}}{13}$
22744	Evaluate	( square root of 65)/8	$\frac{\sqrt{65}}{8}$
22745	Evaluate	( square root of -60)/( square root of 10)	$\frac{\sqrt{- 60}}{\sqrt{10}}$
22746	Evaluate	( square root of 48+2)/6	$\frac{\sqrt{48} + 2}{6}$
22747	Evaluate	( square root of -36)/(- square root of 4)	$\frac{\sqrt{- 36}}{- \sqrt{4}}$
22748	Evaluate	-( square root of 30)/6	$- \frac{\sqrt{30}}{6}$
22749	Evaluate	( square root of 3+5)/( square root of 3-5)	$\frac{\sqrt{3 + 5}}{\sqrt{3 - 5}}$
22750	Evaluate	( square root of 24)/5	$\frac{\sqrt{24}}{5}$
22751	Evaluate	1/(( square root of 15)/15)	$\frac{1}{\frac{\sqrt{15}}{15}}$
22752	Evaluate	1/(( square root of 31)/6)	$\frac{1}{\frac{\sqrt{31}}{6}}$
22753	Evaluate	1/(( square root of 10)/10)	$\frac{1}{\frac{\sqrt{10}}{10}}$
22754	Evaluate	1/(( square root of 37)/6)	$\frac{1}{\frac{\sqrt{37}}{6}}$
22755	Evaluate	1/((4 square root of 41)/41)	$\frac{1}{\frac{4 \sqrt{41}}{41}}$
22756	Evaluate	1/((3 square root of 7)/7)	$\frac{1}{\frac{3 \sqrt{7}}{7}}$
22757	Evaluate	-1/( square root of 2)	$- \frac{1}{\sqrt{2}}$
22758	Evaluate	( square root of 8)/4	$\frac{\sqrt{8}}{4}$
22759	Evaluate	( square root of 85)/6	$\frac{\sqrt{85}}{6}$
22760	Evaluate	( square root of 95)/( square root of 5)	$\frac{\sqrt{95}}{\sqrt{5}}$
22761	Evaluate	(1-( square root of 3)/3)/(1+( square root of 3)/3)	$\frac{1 - \frac{\sqrt{3}}{3}}{1 + \frac{\sqrt{3}}{3}}$
22762	Evaluate	( square root of 73)/3	$\frac{\sqrt{73}}{3}$
22763	Evaluate	( cube root of 2)/( cube root of 4)	$\frac{\sqrt[3]{2}}{\sqrt[3]{4}}$
22764	Evaluate	( square root of 17)/(4 square root of 17)	$\frac{\sqrt{17}}{4 \sqrt{17}}$
22765	Evaluate	( square root of 145)/8	$\frac{\sqrt{145}}{8}$
22766	Evaluate	( square root of -175)/( square root of 7)	$\frac{\sqrt{- 175}}{\sqrt{7}}$
22767	Evaluate	( square root of 195)/14	$\frac{\sqrt{195}}{14}$
22768	Evaluate	( square root of 2)^2014	${(\sqrt{2})}^{2014}$
22769	Evaluate	( square root of 2)/3	$\frac{\sqrt{2}}{3}$
22770	Evaluate	( square root of 11)/( square root of 22)	$\frac{\sqrt{11}}{\sqrt{22}}$
22771	Evaluate	( square root of 120)/( square root of 6)	$\frac{\sqrt{120}}{\sqrt{6}}$
22772	Evaluate	( square root of 13)/7	$\frac{\sqrt{13}}{7}$
22773	Evaluate	( square root of 10)/10	$\frac{\sqrt{10}}{10}$
22774	Evaluate	( square root of 10-8)/(4+ square root of 10)	$\frac{\sqrt{10} - 8}{4 + \sqrt{10}}$
22775	Evaluate	(( square root of 10)/10)/((3 square root of 10)/10)	$\frac{\frac{\sqrt{10}}{10}}{\frac{3 \sqrt{10}}{10}}$
22776	Evaluate	(-8 square root of 3)^2	${(- 8 \sqrt{3})}^{2}$
22777	Evaluate	(9 square root of 2)^2	${(9 \sqrt{2})}^{2}$
22778	Evaluate	(1/7)/((4 square root of 3)/7)	$\frac{\frac{1}{7}}{\frac{4 \sqrt{3}}{7}}$
22779	Evaluate	((5 square root of 34)/34)/(-(3 square root of 34)/34)	$\frac{\frac{5 \sqrt{34}}{34}}{- \frac{3 \sqrt{34}}{34}}$
22780	Evaluate	(-1/( square root of 15)+12/5)/(1-1/( square root of 15)12/5)	$\frac{- \frac{1}{\sqrt{15}} + \frac{12}{5}}{1 - \frac{1}{\sqrt{15}} \frac{12}{5}}$
22781	Evaluate	(2)(( square root of 11)/4)(( square root of 5)/4)	$(2) (\frac{\sqrt{11}}{4}) (\frac{\sqrt{5}}{4})$
22782	Evaluate	(4- square root of 13)(4+ square root of 13)	$(4 - \sqrt{13}) (4 + \sqrt{13})$
22783	Evaluate	(5 square root of 8+5)(2 square root of 8-2)	$(5 \sqrt{8} + 5) (2 \sqrt{8} - 2)$
22784	Evaluate	5- square root of -81	$5 - \sqrt{- 81}$
22785	Evaluate	(2 square root of 85)^2	${(2 \sqrt{85})}^{2}$
22786	Evaluate	(3 square root of 2)^5	${(3 \sqrt{2})}^{5}$
22787	Evaluate	((30 square root of 2-650)(-650))/((609)(650))	$\frac{(30 \sqrt{2} - 650) (- 650)}{(609) (650)}$
22788	Evaluate	( square root of 21)^3	${(\sqrt{21})}^{3}$
22789	Expand Using De Moivre's Theorem	1/4*cos(3x)	$\frac{1}{4} \cdot \cos (3 x)$
22790	Expand Using De Moivre's Theorem	(6(cos(70)+isin(70)))^3	${(6 (\cos (70) + i \sin (70)))}^{3}$
22791	Expand Using De Moivre's Theorem	(3cos(pi/12)+isin(pi/12))^4	${(3 \cos (\frac{π}{12}) + i \sin (\frac{π}{12}))}^{4}$
22792	Expand Using De Moivre's Theorem	(3cos(110)+isin(110))^3	${(3 \cos (110) + i \sin (110))}^{3}$
22793	Evaluate	sec(arccos(1/2))	$\sec (\arccos (\frac{1}{2}))$
22794	Expand Using De Moivre's Theorem	(3-2i)^6	${(3 - 2 i)}^{6}$
22795	Expand Using De Moivre's Theorem	(2(cos(72)+isin(72)))^5	${(2 (\cos (72) + i \sin (72)))}^{5}$
22796	Expand Using De Moivre's Theorem	(cos(30)+isin(30))^(1b)	${(\cos (30) + i \sin (30))}^{1 b}$
22797	Expand Using De Moivre's Theorem	(3(cos(40)+isin(40)))^6	${(3 (\cos (40) + i \sin (40)))}^{6}$
22798	Expand Using De Moivre's Theorem	(3+3 square root of 3i)^2-( square root of 3-i)^4	${(3 + 3 \sqrt{3 i})}^{2} - {(\sqrt{3 - i})}^{4}$
22799	Expand Using De Moivre's Theorem	(3+3i)^5	${(3 + 3 i)}^{5}$
22800	Expand Using De Moivre's Theorem	(3+3i)^7	${(3 + 3 i)}^{7}$