Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
33101	Determine if True	(2-2i square root of 3)(2-2i square root of 3)(2-2i square root of 3)(2-2i square root of 3)=(16-16i square root of 3)	$(2 - 2 i \sqrt{3}) (2 - 2 i \sqrt{3}) (2 - 2 i \sqrt{3}) (2 - 2 i \sqrt{3}) = (16 - 16 i \sqrt{3})$
33102	Determine if True	(4)=(12(4))/(4+(4))	$(4) = \frac{12 (4)}{4 + (4)}$
33103	Determine if True	(8)=0.07(1-0.201896518)	$(8) = 0.07 (1 - 0.20\overline{18965})$
33104	Determine if True	((90)pi)/180=pi/2	$\frac{(90) π}{180} = \frac{π}{2}$
33105	Determine if True	(sin(pi/6)+sin(pi/3))=sin(pi/6+pi/3)	$(\sin (\frac{π}{6}) + \sin (\frac{π}{3})) = \sin (\frac{π}{6} + \frac{π}{3})$
33106	Determine if True	(sin(90)-1)(tan(90)+2)=0	$(\sin (90) - 1) (\tan (90) + 2) = 0$
33107	Determine if True	0.04=4/100	$0.04 = \frac{4}{100}$
33108	Determine if True	-0.333=csc(2)	$- 0.333 = \csc (2)$
33109	Determine if True	-0.56e^0.08=0	$- 0.56 e^{0.08} = 0$
33110	Determine if True	-0.92387=- square root of (2+ square root of 2)/4	$- 0.92387 = - \sqrt{\frac{2 + \sqrt{2}}{4}}$
33111	Determine if True	0.93=0.60	$0.93 = 0.6$
33112	Determine if True	((2 square root of 105)/9)^2+(7/(3 square root of 3))^2=( square root of 7)^2	${(\frac{2 \sqrt{105}}{9})}^{2} + {(\frac{7}{3 \sqrt{3}})}^{2} = {(\sqrt{7})}^{2}$
33113	Determine if True	(( square root of 3)/2)^2+(1/3)=1	${(\frac{\sqrt{3}}{2})}^{2} + (\frac{1}{3}) = 1$
33114	Determine if True	(( square root of 5)/5)^2+(-(2 square root of 5)/5)^2=1	${(\frac{\sqrt{5}}{5})}^{2} + {(- \frac{2 \sqrt{5}}{5})}^{2} = 1$
33115	Determine if True	(1/3)^3=1/27	${(\frac{1}{3})}^{3} = \frac{1}{27}$
33116	Determine if True	(1/5)^-2=25	${(\frac{1}{5})}^{- 2} = 25$
33117	Determine if True	(1/5)^-3=125	${(\frac{1}{5})}^{- 3} = 125$
33118	Determine if True	(16/9)^(-1/3+1)=(3/4)^(-1/4-1)	${(\frac{16}{9})}^{- \frac{1}{3} + 1} = {(\frac{3}{4})}^{- \frac{1}{4} - 1}$
33119	Determine if True	((3 square root of 34)/34)^2+(25/34)^2=1	${(\frac{3 \sqrt{34}}{34})}^{2} + {(\frac{25}{34})}^{2} = 1$
33120	Determine if True	(3/5)^-2=25/9	${(\frac{3}{5})}^{- 2} = \frac{25}{9}$
33121	Determine if True	(6/7)^2+(( square root of 13)/7)^2=1	${(\frac{6}{7})}^{2} + {(\frac{\sqrt{13}}{7})}^{2} = 1$
33122	Determine if True	(60/16)^2sin(31)cos(31)=100	${(\frac{60}{16})}^{2} \sin (31) \cos (31) = 100$
33123	Determine if True	(0.014)^2*(0.014+0.06)=0.028	${(0.014)}^{2} \cdot (0.014 + 0.06) = 0.028$
33124	Determine if True	(11i)^2+121=0	${(11 i)}^{2} + 121 = 0$
33125	Determine if True	(18)^-1=18	${(18)}^{- 1} = 18$
33126	Determine if True	(5cos(0)-7sin(0))^2+(7cos(0)+5sin(0))=74	${(5 \cos (0) - 7 \sin (0))}^{2} + (7 \cos (0) + 5 \sin (0)) = 74$
33127	Determine if True	(cos((3pi)/12)+isin((3pi)/12))^5=(cos((3pi)/12)^2+isin((3pi)/12)^2)	${(\cos (\frac{3 π}{12}) + i \sin (\frac{3 π}{12}))}^{5} = (\cos^{2} (\frac{3 π}{12}) + i \sin^{2} (\frac{3 π}{12}))$
33128	Determine if True	(cos((3pi)/12)+isin((3pi)/12))^5=(5)cos((3pi)/12)+isin((3pi)/12)	${(\cos (\frac{3 π}{12}) + i \sin (\frac{3 π}{12}))}^{5} = (5) \cos (\frac{3 π}{12}) + i \sin (\frac{3 π}{12})$
33129	Determine if True	sin(14)^2+cos(14)^2=-3	$\sin^{2} (14) + \cos^{2} (14) = - 3$
33130	Determine if True	(1/(( square root of 3)^2))/(1-( square root of 3)/2)=1+( square root of 3)/2	$\frac{\frac{1}{{(\sqrt{3})}^{2}}}{1 - \frac{\sqrt{3}}{2}} = 1 + \frac{\sqrt{3}}{2}$
33131	Determine if True	(11pi)/12=sin((3pi)/4)+pi/6	$\frac{11 π}{12} = \sin (\frac{3 π}{4}) + \frac{π}{6}$
33132	Determine if True	12.4/16=8/10	$\frac{12.4}{16} = \frac{8}{10}$
33133	Determine if True	12/13=5/13*tan(0)	$\frac{12}{13} = \frac{5}{13} \cdot \tan (0)$
33134	Determine if True	12^2=10.5^2+6.3^2-210.56.3	$12^{2} = {10.5}^{2} + {6.3}^{2} - 2 \cdot 10.5 \cdot 6.3$
33135	Determine if True	121^(1/2)=11	$121^{\frac{1}{2}} = 11$
33136	Solve the System of @WORD	3x-2y=6 , x+y=2	$3 x - 2 y = 6$ , $x + y = 2$
33137	Determine if True	(1+sin(2)*0)/(cos(0))+(cos(0))/1=2sec(0)	$\frac{1 + \sin (2) \cdot 0}{\cos (0)} + \frac{\cos (0)}{1} = 2 \sec (0)$
33138	Determine if True	10/16=25/40	$\frac{10}{16} = \frac{25}{40}$
33139	Determine if True	10^2+24^2=26^2	$10^{2} + 24^{2} = 26^{2}$
33140	Determine if True	10^-3=0.001	$10^{- 3} = 0.001$
33141	Determine if True	10^5=100000	$10^{5} = 100000$
33142	Determine if True	10^6=1000000	$10^{6} = 1000000$
33143	Determine if True	(216^(5/9-2))/((1/36)^(3(5/9)))=216	$\frac{216^{\frac{5}{9} - 2}}{{(\frac{1}{36})}^{3 (\frac{5}{9})}} = 216$
33144	Determine if True	(tan(90)^2-1)/(sec(90)^2)=(tan(90)-cot(90))/(tan(90)+cot(90))	$\frac{\tan^{2} (90) - 1}{\sec^{2} (90)} = \frac{\tan (90) - \cot (90)}{\tan (90) + \cot (90)}$
33145	Determine if True	( square root of 2- square root of 6)/4=(1- square root of 3)/(2 square root of 2)	$\frac{\sqrt{2} - \sqrt{6}}{4} = \frac{1 - \sqrt{3}}{2 \sqrt{2}}$
33146	Determine if True	( square root of 2)/2=( square root of 2)/2	$\frac{\sqrt{2}}{2} = \frac{\sqrt{2}}{2}$
33147	Determine if True	( square root of 2+ square root of 6)/4=pi/12	$\frac{\sqrt{2} + \sqrt{6}}{4} = \frac{π}{12}$
33148	Determine if True	( square root of 3)/2=pi/2	$\frac{\sqrt{3}}{2} = \frac{π}{2}$
33149	Determine if True	( square root of 41)^2=2 square root of 10+3^2	${(\sqrt{41})}^{2} = 2 \sqrt{10} + 3^{2}$
33150	Determine if True	1/2*cot(pi/14)=sin((2pi)/7)(2cos(pi/7)+1)	$\frac{1}{2} \cdot \cot (\frac{π}{14}) = \sin (\frac{2 π}{7}) (2 \cos (\frac{π}{7}) + 1)$
33151	Determine if True	1/(2p)=5/2p	$\frac{1}{2 p} = \frac{5}{2} p$
33152	Determine if True	1/3000=220/130	$\frac{1}{3000} = \frac{220}{130}$
33153	Determine if True	1/5*(12.5) = square root of 2(12.5)-25	$\frac{1}{5} \cdot (12.5) = \sqrt{2 (12.5) - 25}$
33154	Determine if True	1/6.6=1	$\frac{1}{6.6} = 1$
33155	Determine if True	1/6=pi/6	$\frac{1}{6} = \frac{π}{6}$
33156	Determine if True	1/(cos(290))+1/( square root of 3)*1/(sin(250))=4/( square root of 3)	$\frac{1}{\cos (290)} + \frac{1}{\sqrt{3}} \cdot \frac{1}{\sin (250)} = \frac{4}{\sqrt{3}}$
33157	Determine if True	13/15<9/10	$\frac{13}{15} < \frac{9}{10}$
33158	Determine if True	-13/-56=cos(59)	$\frac{- 13}{- 56} = \cos (59)$
33159	Determine if True	13^2=12^2+8^2-2128	$13^{2} = 12^{2} + 8^{2} - 2 \cdot 12 \cdot 8$
33160	Determine if True	15/60=35/140	$\frac{15}{60} = \frac{35}{140}$
33161	Determine if True	15^2+15^2>20^2	$15^{2} + 15^{2} > 20^{2}$
33162	Determine if True	15^2=225	$15^{2} = 225$
33163	Determine if True	16^(1/4)+8=10	$16^{\frac{1}{4}} + 8 = 10$
33164	Determine if True	(16pi)/5=2pi	$\frac{16 π}{5} = 2 π$
33165	Determine if True	(17pi)/18=2pi	$\frac{17 π}{18} = 2 π$
33166	Solve for ?	y=5cos(2)theta	$y = 5 \cos (2) θ$
33167	Determine if True	(180arctan(50/200))/pi=14	$\frac{180 \arctan (\frac{50}{200})}{π} = 14$
33168	Determine if True	(1-cos(-4/5))/(sin(-3/5))=(sin(-3/5))/(1+cos(-4/5))	$\frac{1 - \cos (- \frac{4}{5})}{\sin (- \frac{3}{5})} = \frac{\sin (- \frac{3}{5})}{1 + \cos (- \frac{4}{5})}$
33169	Determine if True	(1-cos(30))/(1+cos(30))=3	$\frac{1 - \cos (30)}{1 + \cos (30)} = 3$
33170	Determine if True	(1-cos(45))/(1+cos(45))=3	$\frac{1 - \cos (45)}{1 + \cos (45)} = 3$
33171	Determine if True	2/12-5/8=-19/(8(12))	$\frac{2}{12} - \frac{5}{8} = \frac{- 19}{8 (12)}$
33172	Determine if True	29^2+17^2=34^2	$29^{2} + 17^{2} = 34^{2}$
33173	Determine if True	(2pi)/3=5	$\frac{2 π}{3} = 5$
33174	Determine if True	(33/2)/(33/2-1)=(3/2+3)/(3/2+2)	$\frac{3 \cdot \frac{3}{2}}{3 \cdot \frac{3}{2} - 1} = \frac{\frac{3}{2} + 3}{\frac{3}{2} + 2}$
33175	Determine if True	3/(-(5+ square root of 37)/2)-7/(-(5+ square root of 37)/2+1)=1	$\frac{3}{- \frac{5 + \sqrt{37}}{2}} - \frac{7}{- \frac{5 + \sqrt{37}}{2} + 1} = 1$
33176	Determine if True	2^-6=1/64	$2^{- 6} = \frac{1}{64}$
33177	Determine if True	2^7=128	$2^{7} = 128$
33178	Determine if True	228/12=228/19	$\frac{228}{12} = \frac{228}{19}$
33179	Determine if True	243/43=43/3	$\frac{243}{43} = \frac{43}{3}$
33180	Determine if True	25/6*pi=(2pi)/3	$\frac{25}{6} \cdot π = \frac{2 π}{3}$
33181	Determine if True	25^2=50	$25^{2} = 50$
33182	Determine if True	3/3<15/3	$\frac{3}{3} < \frac{15}{3}$
33183	Determine if True	3^2.77=21	$3^{2.77} = 21$
33184	Determine if True	30^2=50^2+100^2-250100cos(30)	$30^{2} = 50^{2} + 100^{2} - 2 \cdot 50 \cdot 100 \cos (30)$
33185	Determine if True	(35pi)/18=(3pi)/2	$\frac{35 π}{18} = \frac{3 π}{2}$
33186	Determine if True	36e^2=225	$36 e^{2} = 225$
33187	Determine if True	(3pi)/4=-( square root of 2)/2	$\frac{3 π}{4} = - \frac{\sqrt{2}}{2}$
33188	Determine if True	3^-4=1/81	$3^{- 4} = \frac{1}{81}$
33189	Determine if True	54^2+72^2=cos(90^2)	$54^{2} + 72^{2} = \cos (90^{2})$
33190	Determine if True	(5pi)/4=(4pi)/4+pi/4	$\frac{5 π}{4} = \frac{4 π}{4} + \frac{π}{4}$
33191	Determine if True	4^9=8^6	$4^{9} = 8^{6}$
33192	Determine if True	40/(sin(45))=48.989/(sin(60))	$\frac{40}{\sin (45)} = \frac{48.989}{\sin (60)}$
33193	Determine if True	45/1=pi/180	$\frac{45}{1} = \frac{π}{180}$
33194	Determine if True	5^2+3^2=5.831^2	$5^{2} + 3^{2} = {5.831}^{2}$
33195	Determine if True	((5pi)/6)÷2pi=(5pi)/(6(2pi))	$\frac{5 π}{6} \div 2 π = \frac{5 π}{6 (2 π)}$
33196	Determine if True	(5pi)/9=2pi	$\frac{5 π}{9} = 2 π$
33197	Determine if True	6.9^2=7.5^2+1.7^2-27.51.7	${6.9}^{2} = {7.5}^{2} + {1.7}^{2} - 2 \cdot 7.5 \cdot 1.7$
33198	Determine if True	6/(e-2)-(2e)/(e-4)=-3	$\frac{6}{e - 2} - \frac{2 e}{e - 4} = - 3$
33199	Determine if True	6^2=1296	$6^{2} = 1296$
33200	Determine if True	5^-3=1/125	$5^{- 3} = \frac{1}{125}$