Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
30001	Determine if True	f(2/4)=3(2/4)^2-12(2/4)+6	$f (\frac{2}{4}) = 3 {(\frac{2}{4})}^{2} - 12 (\frac{2}{4}) + 6$
30002	Determine if True	f(0)=2tan(3(0)+pi)=2tan(pi)	$f (0) = 2 \tan (3 (0) + π) = 2 \tan (π)$
30003	Determine if True	f(1)=5	$f (1) = 5$
30004	Determine if True	f(32)=2^(32/3)	$f (32) = 2^{\frac{32}{3}}$
30005	Determine if True	f(7)=10	$f (7) = 10$
30006	Determine if True	i=15sin(100pi+0.6)	$i = 15 \sin (100 π + 0.6)$
30007	Determine if True	i=15sin(250pi+0.6)	$i = 15 \sin (250 π + 0.6)$
30008	Determine if True	i=230sin(90pi)	$i = 230 \sin (90 π)$
30009	Determine if True	i=7.8(1-e^(-0.45*11.0))	$i = 7.8 (1 - e^{- 0.45 \cdot 11})$
30010	Determine if True	natural log of 23.3/16.6 = natural log of e*0.0547	$\ln (\frac{23.3}{16.6}) = \ln (e) \cdot 0.0547$
30011	Determine if True	natural log of 3/5=-0.510	$\ln (\frac{3}{5}) = - 0.51$
30012	Determine if True	natural log of 1.00 = natural log of (e)^0.0016	$\ln (1) = \ln ({(e)}^{0.0016})$
30013	Determine if True	natural log of 16=2.7726	$\ln (16) = 2.7726$
30014	Determine if True	natural log of 47=3.8501	$\ln (47) = 3.8501$
30015	Determine if True	natural log of 81.25=3	$\ln (81.25) = 3$
30016	Determine if True	log of (2^3(3))^2=6 log of 2+2 log of 3	$\log ({(2^{3} (3))}^{2}) = 6 \log (2) + 2 \log (3)$
30017	Determine if True	cot(0)=-7	$\cot (0) = - 7$
30018	Determine if True	cot(0)=tan(0/2+55)	$\cot (0) = \tan (\frac{0}{2} + 55)$
30019	Determine if True	cot(0)sec(0)sin(0)=1	$\cot (0) \sec (0) \sin (0) = 1$
30020	Determine if True	cot(1.571)=2sec(1.571)	$\cot (1.571) = 2 \sec (1.571)$
30021	Determine if True	cot(10.38)=1/0.1832	$\cot (10.38) = \frac{1}{0.1832}$
30022	Determine if True	cot(11)=tan(2(11)(57))	$\cot (11) = \tan (2 (11) (57))$
30023	Graph	g(theta)=2sin(theta)	$g (θ) = 2 \sin (θ)$
30024	Determine if True	cot(2)+2=cos(2)csc(2)	$\cot (2) + 2 = \cos (2) \csc (2)$
30025	Determine if True	cot(-(2pi)/3)=cot(pi/3)	$\cot (- \frac{2 π}{3}) = \cot (\frac{π}{3})$
30026	Determine if True	cot(220)=-cot(40)	$\cot (220) = - \cot (40)$
30027	Determine if True	cot(25)>tan(25)	$\cot (25) > \tan (25)$
30028	Determine if True	cot(2pi)=cos(2pi)	$\cot (2 π) = \cos (2 π)$
30029	Determine if True	cot(3(15)-71)=tan(15+21)	$\cot (3 (15) - 71) = \tan (15 + 21)$
30030	Determine if True	cot(30)+cot(60)=cot(90)	$\cot (30) + \cot (60) = \cot (90)$
30031	Determine if True	cot(30)=( square root of 3)/3	$\cot (30) = \frac{\sqrt{3}}{3}$
30032	Determine if True	cot(30)sin(30)=cos(30)	$\cot (30) \sin (30) = \cos (30)$
30033	Determine if True	cot(300)+tan(300)=sec(300)csc(300)	$\cot (300) + \tan (300) = \sec (300) \csc (300)$
30034	Determine if True	cot(317)=tan(2*50-7)	$\cot (317) = \tan (2 \cdot 50 - 7)$
30035	Determine if True	cot(382.5) = square root of (8+ square root of 8)/2	$\cot (382.5) = \sqrt{\frac{8 + \sqrt{8}}{2}}$
30036	Determine if True	cot(4)+(sin(4))/(1+cos(4))=csc(4)	$\cot (4) + \frac{\sin (4)}{1 + \cos (4)} = \csc (4)$
30037	Determine if True	cot(410)=1/(tan(410))	$\cot (410) = \frac{1}{\tan (410)}$
30038	Determine if True	cot(53)=tan(37)	$\cot (53) = \tan (37)$
30039	Determine if True	cot(7.47)=1/0.1311	$\cot (7.47) = \frac{1}{0.1311}$
30040	Determine if True	cot(75)=cot(105)	$\cot (75) = \cot (105)$
30041	Determine if True	cot(75)=cot(255)	$\cot (75) = \cot (255)$
30042	Determine if True	cot(9)>0	$\cot (9) > 0$
30043	Determine if True	cot(90)<0	$\cot (90) < 0$
30044	Determine if True	cot(90)=-1	$\cot (90) = - 1$
30045	Determine if True	csc(( square root of 28)/3)=sin((3 square root of 7)/14)	$\csc (\frac{\sqrt{28}}{3}) = \sin (\frac{3 \sqrt{7}}{14})$
30046	Determine if True	csc((5pi)/6)=sin(-pi/3)	$\csc (\frac{5 π}{6}) = \sin (- \frac{π}{3})$
30047	Determine if True	csc((8pi)/3)- square root of 3=cot((8pi)/3)	$\csc (\frac{8 π}{3}) - \sqrt{3} = \cot (\frac{8 π}{3})$
30048	Determine if True	csc(pi/3)=sin(pi/3)	$\csc (\frac{π}{3}) = \sin (\frac{π}{3})$
30049	Determine if True	csc(pi/6)=sin(pi/3)	$\csc (\frac{π}{6}) = \sin (\frac{π}{3})$
30050	Determine if True	csc(0)*cos(0)=cot(0)	$\csc (0) \cdot \cos (0) = \cot (0)$
30051	Determine if True	csc(0)=( square root of 63)/4	$\csc (0) = \frac{\sqrt{63}}{4}$
30052	Determine if True	csc(0)=17/4	$\csc (0) = \frac{17}{4}$
30053	Determine if True	csc(0)=52/4	$\csc (0) = \frac{52}{4}$
30054	Determine if True	csc(0)=pi/2	$\csc (0) = \frac{π}{2}$
30055	Determine if True	csc(0) = square root of 2	$\csc (0) = \sqrt{2}$
30056	Determine if True	csc(0)=-1.8927	$\csc (0) = - 1.8927$
30057	Determine if True	csc(0)=120	$\csc (0) = 120$
30058	Determine if True	csc(0)-sin(0)=cot(0)(cos(0))	$\csc (0) - \sin (0) = \cot (0) (\cos (0))$
30059	Determine if True	csc(0)-sin(0)=cot(0cos(0))	$\csc (0) - \sin (0) = \cot (0 \cos (0))$
30060	Determine if True	csc(0)tan(0)=cos(0)	$\csc (0) \tan (0) = \cos (0)$
30061	Determine if True	csc(105)=1/(( square root of 3)/2+1/2)	$\csc (105) = \frac{1}{\frac{\sqrt{3}}{2} + \frac{1}{2}}$
30062	Determine if True	csc(-112)=-csc(78)	$\csc (- 112) = - \csc (78)$
30063	Determine if True	sec( square root of 26)csc(0)<0	$\sec (\sqrt{26}) \csc (0) < 0$
30064	Determine if True	sec(0)=5/4	$\sec (0) = \frac{5}{4}$
30065	Determine if True	sec(1)-1/(sec(1))=sec(1)csc(1)	$\sec (1) - \frac{1}{\sec (1)} = \sec (1) \csc (1)$
30066	Determine if True	sec(13)>csc(13)	$\sec (13) > \csc (13)$
30067	Determine if True	sec(2)0-2=tan(2)0	$\sec (2) \cdot 0 - 2 = \tan (2) \cdot 0$
30068	Determine if True	sec(225) = square root of 2	$\sec (225) = \sqrt{2}$
30069	Determine if True	sec(2pi)=cos(2pi)	$\sec (2 π) = \cos (2 π)$
30070	Determine if True	sec(30)=-1	$\sec (30) = - 1$
30071	Determine if True	sec(30)cos(60)=1	$\sec (30) \cos (60) = 1$
30072	Determine if True	sec(4)=1/(cos(1))	$\sec (4) = \frac{1}{\cos (1)}$
30073	Determine if True	sec(40-8)=sec(20-2)	$\sec (40 - 8) = \sec (20 - 2)$
30074	Determine if True	sec(45)=(4 square root of 2)/4	$\sec (45) = \frac{4 \sqrt{2}}{4}$
30075	Determine if True	sec(cos(5.729577951308))=1	$\sec (\cos (5.72957795)) = 1$
30076	Determine if True	sec(50/4)=2	$\sec (\frac{50}{4}) = 2$
30077	Determine if True	sec((7pi)/4)(2cos((7pi)/4)- square root of 2)=0	$\sec (\frac{7 π}{4}) (2 \cos (\frac{7 π}{4}) - \sqrt{2}) = 0$
30078	Determine if True	sec(pi/16)=1/908	$\sec (\frac{π}{16}) = \frac{1}{908}$
30079	Determine if True	sec(pi/2)tan(pi/2)=sin(pi/2)	$\sec (\frac{π}{2}) \tan (\frac{π}{2}) = \sin (\frac{π}{2})$
30080	Determine if True	sec(pi/6)tan(pi/6)csc(pi/6)=sec(pi/6)^2	$\sec (\frac{π}{6}) \tan (\frac{π}{6}) \csc (\frac{π}{6}) = \sec^{2} (\frac{π}{6})$
30081	Determine if True	log of 0.81(0.9)=2	$\log (0.81 (0.9)) = 2$
30082	Determine if True	log of 1=((0.781)^2( square root of 845.36))/( cube root of 729.1)	$\log (1) = \frac{{(0.781)}^{2} (\sqrt{845.36})}{\sqrt[3]{729.1}}$
30083	Determine if True	log of 100+ log of 50 = log of 5000	$\log (100) + \log (50) = \log (5000)$
30084	Determine if True	( log of 17*1)/289=-2	$\frac{\log (17) \cdot 1}{289} = - 2$
30085	Determine if True	log of 2*64=6	$\log (2) \cdot 64 = 6$
30086	Determine if True	log of 4*64=3	$\log (4) \cdot 64 = 3$
30087	Determine if True	log of 5 = log of 8	$\log (5) = \log (8)$
30088	Determine if True	log of 5*25=2	$\log (5) \cdot 25 = 2$
30089	Determine if True	pi-pi/2=pi/2	$π - \frac{π}{2} = \frac{π}{2}$
30090	Determine if True	p=1.5	$p = 1.5$
30091	Determine if True	log of 1/125=-3	$\log (\frac{1}{125}) = - 3$
30092	Determine if True	log of 1/27=-3	$\log (\frac{1}{27}) = - 3$
30093	Determine if True	log of 10/7.04 = log of 1.04	$\log (\frac{10}{7.04}) = \log (1.04)$
30094	Determine if True	log of 10/7.56 = log of 1.03	$\log (\frac{10}{7.56}) = \log (1.03)$
30095	Determine if True	log of 3^-2=1/9	$\log (3^{- 2}) = \frac{1}{9}$
30096	Determine if True	log of 3^32- log of 3^8 = log of 3^4	$\log (3^{32}) - \log (3^{8}) = \log (3^{4})$
30097	Determine if True	log of 4^64=3	$\log (4^{64}) = 3$
30098	Determine if True	log of 5^4=625	$\log (5^{4}) = 625$
30099	Determine if True	log of i/1=7.1	$\log (\frac{i}{1}) = 7.1$
30100	Determine if True	cos(50)cos(70)=1/2*(cos(120)+cos(20))	$\cos (50) \cos (70) = \frac{1}{2} \cdot (\cos (120) + \cos (20))$