Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
30201	Determine if True	cos((3pi)/8)=cos(1/2)cos((3pi)/2)	$\cos (\frac{3 π}{8}) = \cos (\frac{1}{2}) \cos (\frac{3 π}{2})$
30202	Determine if True	cos((5pi)/3)=( square root of 2)/2	$\cos (\frac{5 π}{3}) = \frac{\sqrt{2}}{2}$
30203	Determine if True	cos((7pi)/12)=( square root of 2- square root of 6)/2	$\cos (\frac{7 π}{12}) = \frac{\sqrt{2} - \sqrt{6}}{2}$
30204	Determine if True	cos((7pi)/4)cos(pi/7)+sin((7pi)/4)sin(pi/7)=-( square root of 2)/2	$\cos (\frac{7 π}{4}) \cos (\frac{π}{7}) + \sin (\frac{7 π}{4}) \sin (\frac{π}{7}) = - \frac{\sqrt{2}}{2}$
30205	Determine if True	cos((9pi)/4)=( square root of 2)/2	$\cos (\frac{9 π}{4}) = \frac{\sqrt{2}}{2}$
30206	Determine if True	cos((9pi)/8)cos((3(9pi))/8)-sin((9pi)/8)sin((3(9pi))/8)=0	$\cos (\frac{9 π}{8}) \cos (\frac{3 (9 π)}{8}) - \sin (\frac{9 π}{8}) \sin (\frac{3 (9 π)}{8}) = 0$
30207	Determine if True	cos(-pi/10)+isin(-pi/10)=(cos((2pi)/5)+isin((2pi)/5))i	$\cos (- \frac{π}{10}) + i \sin (- \frac{π}{10}) = (\cos (\frac{2 π}{5}) + i \sin (\frac{2 π}{5})) i$
30208	Determine if True	cos(pi/2)cos(pi/4)+sin(pi/2)cos(pi/4)=cos(pi/4)	$\cos (\frac{π}{2}) \cos (\frac{π}{4}) + \sin (\frac{π}{2}) \cos (\frac{π}{4}) = \cos (\frac{π}{4})$
30209	Determine if True	cos(pi/2)-isin(pi/2)=cos(-pi/2)+isin(-pi/2)	$\cos (\frac{π}{2}) - i \sin (\frac{π}{2}) = \cos (- \frac{π}{2}) + i \sin (- \frac{π}{2})$
30210	Determine if True	cos(pi/2-13/5)=5/13	$\cos (\frac{π}{2} - \frac{13}{5}) = \frac{5}{13}$
30211	Determine if True	-cos(pi/2+2pi)-1=cos(2(pi/2+2pi))	$- \cos (\frac{π}{2} + 2 π) - 1 = \cos (2 (\frac{π}{2} + 2 π))$
30212	Determine if True	cos(pi/3)=( square root of 2)/2	$\cos (\frac{π}{3}) = \frac{\sqrt{2}}{2}$
30213	Determine if True	cos(pi/3)=sin((3pi)/3)	$\cos (\frac{π}{3}) = \sin (\frac{3 π}{3})$
30214	Determine if True	-cos(pi/3)cos(pi/6)=1/2*(sin(pi/2)+sin(pi/6))	$- \cos (\frac{π}{3}) \cos (\frac{π}{6}) = \frac{1}{2} \cdot (\sin (\frac{π}{2}) + \sin (\frac{π}{6}))$
30215	Determine if True	cos(pi/4) = square root of 2/2	$\cos (\frac{π}{4}) = \sqrt{\frac{2}{2}}$
30216	Determine if True	cos(pi/4cos(pi/6))=1/2(sec(pi/12)+cos((5pi)/12))	$\cos (\frac{π}{4} \cdot \cos (\frac{π}{6})) = \frac{1}{2} \cdot (\sec (\frac{π}{12}) + \cos (\frac{5 π}{12}))$
30217	Determine if True	cos(-pi/5)cos(pi/3)+sin(-pi/5)sin(-pi/3)=cos(pi/5)cos(pi/3)+sin(pi/5)sin(pi/3)	$\cos (- \frac{π}{5}) \cos (\frac{π}{3}) + \sin (- \frac{π}{5}) \sin (- \frac{π}{3}) = \cos (\frac{π}{5}) \cos (\frac{π}{3}) + \sin (\frac{π}{5}) \sin (\frac{π}{3})$
30218	Determine if True	cos(pi/6)=( square root of 2)/2	$\cos (\frac{π}{6}) = \frac{\sqrt{2}}{2}$
30219	Determine if True	cos(pi/7)cos(pi/7)+sin(pi/7)sin(pi/7)=-( square root of 2)/2	$\cos (\frac{π}{7}) \cos (\frac{π}{7}) + \sin (\frac{π}{7}) \sin (\frac{π}{7}) = - \frac{\sqrt{2}}{2}$
30220	Determine if True	cos(0)(sec(0)-cos(0))=sin(0)^2	$\cos (0) (\sec (0) - \cos (0)) = \sin^{2} (0)$
30221	Determine if True	cos(0)*sin(0)^2=cos(0)^3	$\cos (0) \cdot \sin^{2} (0) = \cos^{3} (0)$
30222	Determine if True	cos(0)=0.7824	$\cos (0) = 0.7824$
30223	Determine if True	cos(0)=0.8658	$\cos (0) = 0.8658$
30224	Determine if True	cos(0)=-( square root of 2)/2	$\cos (0) = - \frac{\sqrt{2}}{2}$
30225	Determine if True	cos(0)=9/15	$\cos (0) = \frac{9}{15}$
30226	Determine if True	cos(0) = square root of 2	$\cos (0) = \sqrt{2}$
30227	Determine if True	cos(0)=0.309	$\cos (0) = 0.309$
30228	Determine if True	cos(0)=0.6527	$\cos (0) = 0.6527$
30229	Determine if True	cos(0)=0.6753	$\cos (0) = 0.6753$
30230	Determine if True	cos(0)=-0.7454	$\cos (0) = - 0.7454$
30231	Determine if True	cos(0)=0.8485	$\cos (0) = 0.8485$
30232	Determine if True	cos(0)-cos(0)*sin(0)^2=cos(0)^3	$\cos (0) - \cos (0) \cdot \sin^{2} (0) = \cos^{3} (0)$
30233	Determine if True	cos(0)tan(0)tan(0)=sin(0)	$\cos (0) \tan (0) \tan (0) = \sin (0)$
30234	Determine if True	cos(-1)=(0.7278)	$\cos (- 1) = (0.7278)$
30235	Determine if True	cos(1)=( square root of 2)/2	$\cos (1) = \frac{\sqrt{2}}{2}$
30236	Determine if True	cos(1.08)=0.47	$\cos (1.08) = 0.47$
30237	Determine if True	cos(1.75)=0.999	$\cos (1.75) = 0.999$
30238	Determine if True	cos(100)=cos(80)	$\cos (100) = \cos (80)$
30239	Determine if True	cos(110)=2csc(65)^2-1	$\cos (110) = 2 \csc^{2} (65) - 1$
30240	Determine if True	cos(120)=2cos(60)	$\cos (120) = 2 \cos (60)$
30241	Determine if True	cos(120)=cos(240)	$\cos (120) = \cos (240)$
30242	Determine if True	cos(120)=cos(60)	$\cos (120) = \cos (60)$
30243	Determine if True	cos(130)=cos(-50)	$\cos (130) = \cos (- 50)$
30244	Determine if True	cos(14.5)=1/4	$\cos (14.5) = \frac{1}{4}$
30245	Determine if True	cos(142)=sin(232)	$\cos (142) = \sin (232)$
30246	Determine if True	cos(15)=cos(pi/12)	$\cos (15) = \cos (\frac{π}{12})$
30247	Determine if True	cos(15)=( square root of 2+ square root of 3)/2	$\cos (15) = \frac{\sqrt{2 + \sqrt{3}}}{2}$
30248	Determine if True	cos(0)=12/13	$\cos (0) = \frac{12}{13}$
30249	Determine if True	cos(0)=-2/5	$\cos (0) = - \frac{2}{5}$
30250	Determine if True	cos(0)=-24/25	$\cos (0) = - \frac{24}{25}$
30251	Determine if True	cos(0)=24/7	$\cos (0) = \frac{24}{7}$
30252	Determine if True	81=58-42cos(1)	$81 = 58 - 42 \cos (1)$
30253	Determine if True	884642(249938+549928)*2/55=3	$884642 (249938 + 549928) \cdot \frac{2}{55} = 3$
30254	Determine if True	cos(0)=5/13	$\cos (0) = \frac{5}{13}$
30255	Determine if True	cos(0)=5/7	$\cos (0) = \frac{5}{7}$
30256	Determine if True	cos(0)=3/5=4/25	$\cos (0) = \frac{3}{5} = \frac{4}{25}$
30257	Determine if True	cos(0)=-39/89	$\cos (0) = - \frac{39}{89}$
30258	Determine if True	cos(215)+cos(215)^2=1	$\cos (215) + \cos^{2} (215) = 1$
30259	Determine if True	cos(225)=- square root of (1+cos(450))/2	$\cos (225) = - \sqrt{\frac{1 + \cos (450)}{2}}$
30260	Determine if True	cos(24)=sin(66)	$\cos (24) = \sin (66)$
30261	Determine if True	cos(25)+cos(65)=2cos(45)cos(20)	$\cos (25) + \cos (65) = 2 \cos (45) \cos (20)$
30262	Determine if True	cos(25)=sin(65)	$\cos (25) = \sin (65)$
30263	Determine if True	cos(255)=cos(315)cos(60)+sin(315)sin(60)	$\cos (255) = \cos (315) \cos (60) + \sin (315) \sin (60)$
30264	Determine if True	cos(26)=4/7	$\cos (26) = \frac{4}{7}$
30265	Determine if True	cos(298)=cos(118)	$\cos (298) = \cos (118)$
30266	Determine if True	cos(298)=cos(298)	$\cos (298) = \cos (298)$
30267	Determine if True	cos(3(0))=1	$\cos (3 (0)) = 1$
30268	Determine if True	cos(3(15)-77)=sin(15+27)	$\cos (3 (15) - 77) = \sin (15 + 27)$
30269	Determine if True	cos(3*245)=1	$\cos (3 \cdot 245) = 1$
30270	Determine if True	cos(3*30)=1	$\cos (3 \cdot 30) = 1$
30271	Determine if True	cos(3*45)=1	$\cos (3 \cdot 45) = 1$
30272	Determine if True	cos(3*90)=1	$\cos (3 \cdot 90) = 1$
30273	Determine if True	cos((3pi)/13)+cos((5pi)/13)=2cos((9pi)/13)cos(cos(pi))	$\cos (\frac{3 π}{13}) + \cos (\frac{5 π}{13}) = 2 \cos (\frac{9 π}{13}) \cos (\cos (π))$
30274	Determine if True	cos(3+4)=cos(3)cos(4)-sin(3)sin(4)	$\cos (3 + 4) = \cos (3) \cdot \cos (4) - \sin (3) \cdot \sin (4)$
30275	Determine if True	cos(30)+cos(120)+cos(30)=1	$\cos (30) + \cos (120) + \cos (30) = 1$
30276	Determine if True	cos(30)=( square root of 3)/2	$\cos (30) = \frac{\sqrt{3}}{2}$
30277	Determine if True	cos(30)=cos(pi/6)	$\cos (30) = \cos (\frac{π}{6})$
30278	Determine if True	cos(30)=pi	$\cos (30) = π$
30279	Determine if True	cos(300)=cos(60)	$\cos (300) = \cos (60)$
30280	Determine if True	cos(315)=( square root of 2)/2	$\cos (315) = \frac{\sqrt{2}}{2}$
30281	Determine if True	cos(32)cos(58)-sin(32)sin(58)=0	$\cos (32) \cdot \cos (58) - \sin (32) \cdot \sin (58) = 0$
30282	Determine if True	cos(345)=(- square root of 6- square root of 2)/4	$\cos (345) = \frac{- \sqrt{6} - \sqrt{2}}{4}$
30283	Determine if True	cos(35)=6/7	$\cos (35) = \frac{6}{7}$
30284	Determine if True	cos(-35)=cos(10)cos(85)+sin(10)+sin(85)	$\cos (- 35) = \cos (10) \cos (85) + \sin (10) + \sin (85)$
30285	Determine if True	cos(-35)=-cos(35)	$\cos (- 35) = - \cos (35)$
30286	Determine if True	cos(35)<cos(45)	$\cos (35) < \cos (45)$
30287	Determine if True	cos(35)<sin(35)	$\cos (35) < \sin (35)$
30288	Determine if True	cos(360)=1/2	$\cos (360) = \frac{1}{2}$
30289	Determine if True	cos(360)=1	$\cos (360) = 1$
30290	Determine if True	cos(37)=cos(30)cos(7)-sin(30)sin(7)	$\cos (37) = \cos (30) \cos (7) - \sin (30) \sin (7)$
30291	Determine if True	cos(39)=7/14	$\cos (39) = \frac{7}{14}$
30292	Determine if True	cos(40)<cos(30)	$\cos (40) < \cos (30)$
30293	Determine if True	cos(40)cos(10)+sin(40)sin(10)=1/2	$\cos (40) \cos (10) + \sin (40) \sin (10) = \frac{1}{2}$
30294	Determine if True	cos(41.8)=( square root of 5)/3	$\cos (41.8) = \frac{\sqrt{5}}{3}$
30295	Determine if True	cos(43)=sin(47)	$\cos (43) = \sin (47)$
30296	Determine if True	cos(45)=1/( square root of 2)	$\cos (45) = \frac{1}{\sqrt{2}}$
30297	Determine if True	cos(45)cos(30)+sin(45)sin(30)=( square root of 6+ square root of 2)/4	$\cos (45) \cos (30) + \sin (45) \sin (30) = \frac{\sqrt{6} + \sqrt{2}}{4}$
30298	Determine if True	cos(45)=135	$\cos (45) = 135$
30299	Determine if True	cos(45)sin(45)=1/2	$\cos (45) \sin (45) = \frac{1}{2}$
30300	Determine if True	cos(46)=cos(60)cos(14)+sin(60)sin(14)	$\cos (46) = \cos (60) \cdot \cos (14) + \sin (60) \cdot \sin (14)$