Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
30101	Determine if True	cos(520)=cos(20)	$\cos (520) = \cos (20)$
30102	Determine if True	cos(540)=sin(270)	$\cos (540) = \sin (270)$
30103	Determine if True	cos(55)=cos(10)cos(85)+sin(10)+sin(85)	$\cos (55) = \cos (10) \cos (85) + \sin (10) + \sin (85)$
30104	Determine if True	cos(58)+sin(87)=0	$\cos (58) + \sin (87) = 0$
30105	Determine if True	cos(58) = square root of (1(cos(116)))/2	$\cos (58) = \sqrt{\frac{1 (\cos (116))}{2}}$
30106	Determine if True	cos(60)+sin(30)=1	$\cos (60) + \sin (30) = 1$
30107	Determine if True	cos(-150)=-cos(30)	$\cos (- 150) = - \cos (30)$
30108	Determine if True	cos(155)=-cos(25)	$\cos (155) = - \cos (25)$
30109	Determine if True	cos(-170)=cos(10)	$\cos (- 170) = \cos (10)$
30110	Determine if True	cos(18) = square root of (5+ square root of 5)/8	$\cos (18) = \sqrt{\frac{5 + \sqrt{5}}{8}}$
30111	Determine if True	cos(2(35))+cos(35)^2=1	$\cos (2 (35)) + \cos^{2} (35) = 1$
30112	Determine if True	cos(2((5pi)/6))=-sin((5pi)/6)	$\cos (2 (\frac{5 π}{6})) = - \sin (\frac{5 π}{6})$
30113	Determine if True	cos(2)(pi/6)=cos(pi/6)^4-sin(pi/6)^4	$\cos (2) (\frac{π}{6}) = \cos^{4} (\frac{π}{6}) - \sin^{4} (\frac{π}{6})$
30114	Determine if True	cos(2)-135=1-2sin(-135)^2	$\cos (2) - 135 = 1 - 2 \sin^{2} (- 135)$
30115	Determine if True	cos(2)-cos(8)+cos(6)=0	$\cos (2) - \cos (8) + \cos (6) = 0$
30116	Determine if True	cos(2.45)=2cos(45)	$\cos (2.45) = 2 \cos (45)$
30117	Determine if True	cos((2pi)/6) = square root of 2-cos((2pi)/6)	$\cos (\frac{2 π}{6}) = \sqrt{2} - \cos (\frac{2 π}{6})$
30118	Determine if True	cos(60)=cos(30)^2-sin(30)^2	$\cos (60) = \cos^{2} (30) - \sin^{2} (30)$
30119	Determine if True	cos(60)=cos(360-60)	$\cos (60) = \cos (360 - 60)$
30120	Determine if True	cos(60)>cos(65)	$\cos (60) > \cos (65)$
30121	Determine if True	cos(60+45)=cos(60)cos(45)-sin(60)sin(45)	$\cos (60 + 45) = \cos (60) \cos (45) - \sin (60) \sin (45)$
30122	Determine if True	cos(60+45)=cos(60)sin(45)-sin(60)cos(45)	$\cos (60 + 45) = \cos (60) \sin (45) - \sin (60) \cos (45)$
30123	Determine if True	cos(63)=15 square root of 3	$\cos (63) = 15 \sqrt{3}$
30124	Determine if True	cos(65)=2/11	$\cos (65) = \frac{2}{11}$
30125	Determine if True	cos(66-6)=cos(66)cos(6)+sin(66)sin(6)	$\cos (66 - 6) = \cos (66) \cos (6) + \sin (66) \sin (6)$
30126	Determine if True	cos(72)=( square root of 5-1)/4	$\cos (72) = \frac{\sqrt{5} - 1}{4}$
30127	Determine if True	cos(7-2pi)=cos(7)	$\cos (7 - 2 π) = \cos (7)$
30128	Determine if True	cos(74)=cos(60)cos(14)+sin(60)sin(14)	$\cos (74) = \cos (60) \cdot \cos (14) + \sin (60) \cdot \sin (14)$
30129	Determine if True	cos(75)+cos(195)=(- square root of 2)/2	$\cos (75) + \cos (195) = \frac{- \sqrt{2}}{2}$
30130	Determine if True	cos(75)+cos(95)=( square root of 2)/2	$\cos (75) + \cos (95) = \frac{\sqrt{2}}{2}$
30131	Determine if True	cos(75)=( square root of 3-1)/(2 square root of 2)	$\cos (75) = \frac{\sqrt{3} - 1}{2 \sqrt{2}}$
30132	Determine if True	cos(78)=64/89	$\cos (78) = \frac{64}{89}$
30133	Determine if True	cos(80)cos(70)=sin(80)sin(70)	$\cos (80) \cos (70) = \sin (80) \sin (70)$
30134	Determine if True	cos(84)=181/180	$\cos (84) = \frac{181}{180}$
30135	Determine if True	cos(90)=4/10	$\cos (90) = \frac{4}{10}$
30136	Determine if True	cos(90)=(7 square root of 3)/14	$\cos (90) = \frac{7 \sqrt{3}}{14}$
30137	Determine if True	cos(arcsin(150)) = square root of 1-150^2	$\cos (\arcsin (150)) = \sqrt{1 - 150^{2}}$
30138	Determine if True	cos(pi)=-cos(pi)	$\cos (π) = - \cos (π)$
30139	Determine if True	-cos(pi)=cos(pi-pi)	$- \cos (π) = \cos (π - π)$
30140	Determine if True	cos(sec(0.3))=1	$\cos (\sec (0.3)) = 1$
30141	Determine if True	cot(0/3)=1	$\cot (\frac{0}{3}) = 1$
30142	Determine if True	cot(1/260)+cot(1/260)+cot(1/260)=cot(1/260)cot(1/260)cot(1/260)	$\cot (\frac{1}{2} \cdot 60) + \cot (\frac{1}{2} \cdot 60) + \cot (\frac{1}{2} \cdot 60) = \cot (\frac{1}{2} \cdot 60) \cot (\frac{1}{2} \cdot 60) \cot (\frac{1}{2} \cdot 60)$
30143	Determine if True	cot((17pi)/12)=1	$\cot (\frac{17 π}{12}) = 1$
30144	Determine if True	cot((2pi)/3)=csc((2pi)/3)- square root of 3	$\cot (\frac{2 π}{3}) = \csc (\frac{2 π}{3}) - \sqrt{3}$
30145	Determine if True	cot(60/11)=tan(11/60)	$\cot (\frac{60}{11}) = \tan (\frac{11}{60})$
30146	Determine if True	cot((7pi)/9)<cot((8pi)/9)	$\cot (\frac{7 π}{9}) < \cot (\frac{8 π}{9})$
30147	Determine if True	cot(pi/12)=v((2+ square root of 3)/(2- square root of 3))	$\cot (\frac{π}{12}) = v (\frac{2 + \sqrt{3}}{2 - \sqrt{3}})$
30148	Determine if True	cot(pi/4)=1/( square root of 4)	$\cot (\frac{π}{4}) = \frac{1}{\sqrt{4}}$
30149	Determine if True	cot(-pi/7)>cot(-(6pi)/7)	$\cot (- \frac{π}{7}) > \cot (- \frac{6 π}{7})$
30150	Determine if True	cot(0)<0	$\cot (0) < 0$
30151	Determine if True	cot(0)=0.2680	$\cot (0) = 0.268$
30152	Determine if True	arccos(4/5)+arccos(12/13)=arccos(33/65)	$\arccos (\frac{4}{5}) + \arccos (\frac{12}{13}) = \arccos (\frac{33}{65})$
30153	Determine if True	arccos(-1)+2arcsin(( square root of 3)/2)=pi	$\arccos (- 1) + 2 \arcsin (\frac{\sqrt{3}}{2}) = π$
30154	Determine if True	arccos(60)=( square root of 3)/2	$\arccos (60) = \frac{\sqrt{3}}{2}$
30155	Determine if True	arccos(cos(166))=166	$\arccos (\cos (166)) = 166$
30156	Determine if True	arccsc(3)=1/(arcsin(3))	$arccsc (3) = \frac{1}{\arcsin (3)}$
30157	Determine if True	arcsec(-3.33)=arccos(1/-3.33)	$arcsec (- 3.33) = \arccos (\frac{1}{- 3.33})$
30158	Determine if True	arcsin(1.13/1.27)=62.84	$\arcsin (\frac{1.13}{1.27}) = 62.84$
30159	Determine if True	arcsin(3/5)-arctan(3/5)=arctan(3/29)	$\arcsin (\frac{3}{5}) - \arctan (\frac{3}{5}) = \arctan (\frac{3}{29})$
30160	Determine if True	arcsin(4/5)=arctan(4/3)	$\arcsin (\frac{4}{5}) = \arctan (\frac{4}{3})$
30161	Determine if True	arcsin(1)=3.141592653/2	$\arcsin (1) = \frac{3.141\overline{5926}}{2}$
30162	Determine if True	arcsin(180)=-2/5	$\arcsin (180) = - \frac{2}{5}$
30163	Determine if True	arcsin(4*(-( square root of 28)/28))+arccos(-( square root of 28)/28)=pi/6	$\arcsin (4 \cdot (- \frac{\sqrt{28}}{28})) + \arccos (- \frac{\sqrt{28}}{28}) = \frac{π}{6}$
30164	Determine if True	arcsin(4.8-pi)=1/2	$\arcsin (4.8 - π) = \frac{1}{2}$
30165	Determine if True	arcsin(sin(40))=40	$\arcsin (\sin (40)) = 40$
30166	Determine if True	arctan(1/2)+arctan(1/3)=pi/4	$\arctan (\frac{1}{2}) + \arctan (\frac{1}{3}) = \frac{π}{4}$
30167	Determine if True	arctan(tan(100))=100	$\arctan (\tan (100)) = 100$
30168	Determine if True	arctan(tan(2.607))=arctan(2.607)	$\arctan (\tan (2.607)) = \arctan (2.607)$
30169	Determine if True	arctan(tan(90))=90	$\arctan (\tan (90)) = 90$
30170	Determine if True	cos((3pi)/2)+2cos((3pi)/2)sin((3pi)/2)=0	$\cos (\frac{3 π}{2}) + 2 \cos (\frac{3 π}{2}) \sin (\frac{3 π}{2}) = 0$
30171	Determine if True	cos((7pi)/6)+2cos((7pi)/6)sin((7pi)/6)=0	$\cos (\frac{7 π}{6}) + 2 \cos (\frac{7 π}{6}) \sin (\frac{7 π}{6}) = 0$
30172	Determine if True	cos((5pi)/12)=1/2*(1-( square root of 3)/2)	$\cos (\frac{5 π}{12}) = \frac{1}{2} \cdot (1 - \frac{\sqrt{3}}{2})$
30173	Determine if True	cos(-11/4)=-( square root of 2)/2	$\cos (- \frac{11}{4}) = - \frac{\sqrt{2}}{2}$
30174	Determine if True	cos((15pi)/14)=cos((5pi)/14)	$\cos (\frac{15 π}{14}) = \cos (\frac{5 π}{14})$
30175	Determine if True	cos((17pi)/6)=-( square root of 3)/2	$\cos (\frac{17 π}{6}) = - \frac{\sqrt{3}}{2}$
30176	Determine if True	cos(2/5)tan(0)<0	$\cos (\frac{2}{5}) \tan (0) < 0$
30177	Determine if True	cos(2/5pi)=sin(1/10pi)	$\cos (\frac{2}{5} \cdot π) = \sin (\frac{1}{10} \cdot π)$
30178	Determine if True	cos(20/5)=-1	$\cos (\frac{20}{5}) = - 1$
30179	Determine if True	cos((21pi)/14)=cos((5pi)/14)	$\cos (\frac{21 π}{14}) = \cos (\frac{5 π}{14})$
30180	Determine if True	cos((2pi)/3)=cos((5pi)/3)	$\cos (\frac{2 π}{3}) = \cos (\frac{5 π}{3})$
30181	Determine if True	cos(-3/5)cos(2/5)+sin(4/5)sin(( square root of 21)/5)=(6-4 square root of 21)/25	$\cos (- \frac{3}{5}) \cos (\frac{2}{5}) + \sin (\frac{4}{5}) \sin (\frac{\sqrt{21}}{5}) = \frac{6 - 4 \sqrt{21}}{25}$
30182	Determine if True	8=0	$8 = 0$
30183	Determine if True	800e^-0.0244=200	$800 e^{- 0.0244} = 200$
30184	Determine if True	8000=e^(0.05(2))	$8000 = e^{0.05 (2)}$
30185	Determine if True	-6cos(pi/3)=4	$- 6 \cos (\frac{π}{3}) = 4$
30186	Determine if True	6sec((4pi)/3)+8=-4	$6 \sec (\frac{4 π}{3}) + 8 = - 4$
30187	Determine if True	7(e^(3(9.12)-4)-8)=18	$7 (e^{3 (9.12) - 4} - 8) = 18$
30188	Determine if True	7.4=- log of 0	$7.4 = - \log (0)$
30189	Determine if True	(7pi)/4<2pi	$\frac{7 π}{4} < 2 π$
30190	Determine if True	(7pi)/4>0	$\frac{7 π}{4} > 0$
30191	Determine if True	(7pi)/6>0	$\frac{7 π}{6} > 0$
30192	Determine if True	7 = log base 2 of 128	$7 = \log_{2} (128)$
30193	Determine if True	-7=19	$- 7 = 19$
30194	Determine if True	75(12)=32+43e^(-0.058*12)	$75 (12) = 32 + 43 e^{- 0.058 \cdot 12}$
30195	Determine if True	75=pi/180	$75 = \frac{π}{180}$
30196	Determine if True	cos((3pi)/8)=cos(1/2)cos((3pi)/2)	$\cos (\frac{3 π}{8}) = \cos (\frac{1}{2}) \cos (\frac{3 π}{2})$
30197	Determine if True	cos((5pi)/3)=( square root of 2)/2	$\cos (\frac{5 π}{3}) = \frac{\sqrt{2}}{2}$
30198	Determine if True	cos((7pi)/12)=( square root of 2- square root of 6)/2	$\cos (\frac{7 π}{12}) = \frac{\sqrt{2} - \sqrt{6}}{2}$
30199	Determine if True	cos((7pi)/4)cos(pi/7)+sin((7pi)/4)sin(pi/7)=-( square root of 2)/2	$\cos (\frac{7 π}{4}) \cos (\frac{π}{7}) + \sin (\frac{7 π}{4}) \sin (\frac{π}{7}) = - \frac{\sqrt{2}}{2}$
30200	Determine if True	cos((9pi)/4)=( square root of 2)/2	$\cos (\frac{9 π}{4}) = \frac{\sqrt{2}}{2}$