Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
33201	Determine if True	(-6+3i)/(-5-5i)=45/13+9/13*i	$\frac{- 6 + 3 i}{- 5 - 5 i} = \frac{45}{13} + \frac{9}{13} \cdot i$
33202	Determine if True	(-6+3i)/(-5-5i)=45/13+(9i)/13	$\frac{- 6 + 3 i}{- 5 - 5 i} = \frac{45}{13} + \frac{9 i}{13}$
33203	Determine if True	60^2+32^2=68^2	$60^{2} + 32^{2} = 68^{2}$
33204	Determine if True	63/21=9	$\frac{63}{21} = 9$
33205	Determine if True	(7.4-22.8)/(-20.2-(-21.2))=-77/5	$\frac{7.4 - 22.8}{- 20.2 - (- 21.2)} = - \frac{77}{5}$
33206	Determine if True	7/(sin(20))=5/(sin(70))	$\frac{7}{\sin (20)} = \frac{5}{\sin (70)}$
33207	Determine if True	(cos(0))/(sec(0))+(sin(0))/(csc(0))=1	$\frac{\cos (0)}{\sec (0)} + \frac{\sin (0)}{\csc (0)} = 1$
33208	Determine if True	cos(0)^2cot(0)^2=cot(0)^2-cos(0)^2	$\cos^{2} (0) \cot^{2} (0) = \cot^{2} (0) - \cos^{2} (0)$
33209	Determine if True	(cos(0)tan(0))/(sin(0)+cos(0))=(tan(0))/(1+tan(0))	$\frac{\cos (0) \tan (0)}{\sin (0) + \cos (0)} = \frac{\tan (0)}{1 + \tan (0)}$
33210	Determine if True	(cos(1))/(1-sin(1))=tan(1)+sec(1)	$\frac{\cos (1)}{1 - \sin (1)} = \tan (1) + \sec (1)$
33211	Determine if True	(cos(10))/(1+sin(10))=(cos(10))/(1-sin(10))	$\frac{\cos (10)}{1 + \sin (10)} = \frac{\cos (10)}{1 - \sin (10)}$
33212	Determine if True	(cos(10))/(cos(10))=2900/300	$\frac{\cos (10)}{\cos (10)} = \frac{2900}{300}$
33213	Determine if True	(cos(150))/(cos(100))=cos(50)	$\frac{\cos (150)}{\cos (100)} = \cos (50)$
33214	Determine if True	(cos(315)-sin(300^0))/(1+tan(225^0))=( square root of 2+ square root of 3)/4	$\frac{\cos (315) - \sin (300^{0})}{1 + \tan (225^{0})} = \frac{\sqrt{2 + \sqrt{3}}}{4}$
33215	Determine if True	2cos(pi/8)^2-1=0	$2 \cos^{2} (\frac{π}{8}) - 1 = 0$
33216	Determine if True	arccos(cos(-pi))=-pi	$\arccos (\cos (- π)) = - π$
33217	Determine if True	arccos(cos(pi+1))=pi+1	$\arccos (\cos (π + 1)) = π + 1$
33218	Determine if True	cos((15pi)/4)^2=1/2	$\cos^{2} (\frac{15 π}{4}) = \frac{1}{2}$
33219	Determine if True	cos(105)^2=1/2*(1+cos(210))	$\cos^{2} (105) = \frac{1}{2} \cdot (1 + \cos (210))$
33220	Determine if True	85^2+84^2 = square root of 1428*1	$85^{2} + 84^{2} = \sqrt{1428} \cdot 1$
33221	Determine if True	9/11=4/5	$\frac{9}{11} = \frac{4}{5}$
33222	Determine if True	(7pi)/6=2pi	$\frac{7 π}{6} = 2 π$
33223	Determine if True	(8 square root of 3)/3=4^2+2.3094^2	$\frac{8 \sqrt{3}}{3} = 4^{2} + {2.3094}^{2}$
33224	Determine if True	8/20=48/60	$\frac{8}{20} = \frac{48}{60}$
33225	Determine if True	8/9<0	$\frac{8}{9} < 0$
33226	Determine if True	log base 3 of 8- log base 3 of 7 = log base 3 of 24	$\log_{3} (8) - \log_{3} (7) = \log_{3} (24)$
33227	Determine if True	log base 3 of 8- log base 3 of 7 = log base 3 of 6	$\log_{3} (8) - \log_{3} (7) = \log_{3} (6)$
33228	Determine if True	log base 3 of 65 = log of 65/3	$\log_{3} (65) = \log (\frac{65}{3})$
33229	Determine if True	log base 23 of 23 = log of 10	$\log_{23} (23) = \log (10)$
33230	Determine if True	log base 243 of 9=2/5	$\log_{243} (9) = \frac{2}{5}$
33231	Determine if True	log base 256 of 1/16=-1/2	$\log_{256} (\frac{1}{16}) = - \frac{1}{2}$
33232	Find the Reference Angle	-(13pi)/6	$- \frac{13 π}{6}$
33233	Determine if True	log base 4 of 12^(6.90-4)=5	$\log_{4} (12^{6.9 - 4}) = 5$
33234	Determine if True	log base 4 of 25^2- log base 4 of 5 = log base 4 of 125	$\log_{4} (25^{2}) - \log_{4} (5) = \log_{4} (125)$
33235	Determine if True	log base 3 of 9=729	$\log_{3} (9) = 729$
33236	Determine if True	log base 36 of 1/6=-1/2	$\log_{36} (\frac{1}{6}) = - \frac{1}{2}$
33237	Determine if True	log base 36 of 6=0.5	$\log_{36} (6) = 0.5$
33238	Verify the Identity	csc(theta)=1/(sin(theta))	$\csc (θ) = \frac{1}{\sin (θ)}$
33239	Determine if True	log base 8 of 4=0.6667	$\log_{8} (4) = 0.6667$
33240	Determine if True	log base 5 of 3((1- square root of 47)/6)^2-1- log base 5 of ((1- square root of 47)/6)+3=0	$\log_{5} (3 {(\frac{1 - \sqrt{47}}{6})}^{2} - 1) - \log_{5} ((\frac{1 - \sqrt{47}}{6}) + 3) = 0$
33241	Determine if True	log base 5 of 36=2	$\log_{5} (36) = 2$
33242	Determine if True	log base 4 of 8=3/4	$\log_{4} (8) = \frac{3}{4}$
33243	Determine if True	log base 5 of 1/625=-4	$\log_{5} (\frac{1}{625}) = - 4$
33244	Determine if True	log base 5 of 1+ log base 5 of 4 = log base 2 of 20	$\log_{5} (1) + \log_{5} (4) = \log_{2} (20)$
33245	Determine if True	log base 16 of 2=1/4	$\log_{16} (2) = \frac{1}{4}$
33246	Determine if True	log base 16 of 4096=3	$\log_{16} (4096) = 3$
33247	Determine if True	log base 18 of 9=2	$\log_{18} (9) = 2$
33248	Determine if True	log base 2 of 1/16=4	$\log_{2} (\frac{1}{16}) = 4$
33249	Determine if True	log base 2 of 10=100	$\log_{2} (10) = 100$
33250	Determine if True	log base 2 of 24=4.58	$\log_{2} (24) = 4.58$
33251	Determine if True	(cot(1))/(cos(1))+(sec(1))/(cot(1))=sec(1)^2*csc(1)	$\frac{\cot (1)}{\cos (1)} + \frac{\sec (1)}{\cot (1)} = \sec^{2} (1) \cdot \csc (1)$
33252	Determine if True	cot(pi/2-pi/4)^2=sec(pi/4)+1	$\cot^{2} (\frac{π}{2} - \frac{π}{4}) = \sec (\frac{π}{4}) + 1$
33253	Determine if True	cot(0)^2+csc(0)^2=1	$\cot^{2} (0) + \csc^{2} (0) = 1$
33254	Determine if True	cot(150)^2+5=4csc(150)	$\cot^{2} (150) + 5 = 4 \csc (150)$
33255	Determine if True	cot(30)^2=csc(30)^2	$\cot^{2} (30) = \csc^{2} (30)$
33256	Determine if True	(csc(20)-sin(20))/(cos(20))=cot(20)	$\frac{\csc (20) - \sin (20)}{\cos (20)} = \cot (20)$
33257	Determine if True	cos(112.5)^2-sin(112.5)^2=sin(225)	$\cos^{2} (112.5) - \sin^{2} (112.5) = \sin (225)$
33258	Determine if True	cos(150)^2-sin(150)^2=cos(300)	$\cos^{2} (150) - \sin^{2} (150) = \cos (300)$
33259	Determine if True	log base 2 of 36=2	$\log_{2} (36) = 2$
33260	Determine if True	csc(0)^2-cos(0)sec(0)=cot(0)^2	$\csc^{2} (0) - \cos (0) \sec (0) = \cot^{2} (0)$
33261	Determine if True	e=2.7183	$e = 2.7183$
33262	Determine if True	e^3=20.086	$e^{3} = 20.086$
33263	Determine if True	( natural log of 15)/( natural log of 2) = log base 2 of 15	$\frac{\ln (15)}{\ln (2)} = \log_{2} (15)$
33264	Determine if True	( natural log of 4)/( natural log of 4)=( natural log of 82)/( natural log of 82)	$\frac{\ln (4)}{\ln (4)} = \frac{\ln (82)}{\ln (82)}$
33265	Determine if True	natural log of (e)^7.3 = natural log of 32.7	$\ln ({(e)}^{7.3}) = \ln (32.7)$
33266	Determine if True	log of (1/5)^-2=25	$\log ({(\frac{1}{5})}^{- 2}) = 25$
33267	Determine if True	log base 0.75 of 25=3(-3.396)-1	$\log_{0.75} (25) = 3 (- 3.396) - 1$
33268	Determine if True	log base 0.3 of 0.027=3	$\log_{0.3} (0.027) = 3$
33269	Determine if True	log of 0.00001=-5	$\log (0.00001) = - 5$
33270	Determine if True	log of 2500=2*(2 log of 5)	$\log (2500) = 2 \cdot (2 \log (5))$
33271	Determine if True	log of 5=0.6990	$\log (5) = 0.699$
33272	Determine if True	2.5=2.5/5	$2.5 = \frac{2.5}{5}$
33273	Determine if True	2.5=sin(90-2.5)	$2.5 = \sin (90 - 2.5)$
33274	Determine if True	2.67=pi/2	$2.67 = \frac{π}{2}$
33275	Determine if True	2cos((7pi)/3)^2-cos((7pi)/3)-1=0	$2 \cos^{2} (\frac{7 π}{3}) - \cos (\frac{7 π}{3}) - 1 = 0$
33276	Determine if True	2cos((12pi)/16)^2-1=0	$2 \cos^{2} (\frac{12 π}{16}) - 1 = 0$
33277	Determine if True	2cos(pi/3)^2-cos(pi/3)-1=0	$2 \cos^{2} (\frac{π}{3}) - \cos (\frac{π}{3}) - 1 = 0$
33278	Determine if True	2cos(0)^2+cos(0)-1=0	$2 \cos^{2} (0) + \cos (0) - 1 = 0$
33279	Determine if True	2cos(105)^2-1=cos(210)	$2 \cos^{2} (105) - 1 = \cos (210)$
33280	Determine if True	2cos(22.5)^2-1=cos(45)	$2 \cos^{2} (22.5) - 1 = \cos (45)$
33281	Determine if True	2cos(30)^2-cos(90)=0	$2 \cos^{2} (30) - \cos (90) = 0$
33282	Determine if True	2cos(330)^2-1=cos(660)	$2 \cos^{2} (330) - 1 = \cos (660)$
33283	Determine if True	2cos(4(pi/16))^2-1=0	$2 \cos^{2} (4 (\frac{π}{16})) - 1 = 0$
33284	Determine if True	2e^(-0.00012*14832)=0.4	$2 e^{- 0.00012 \cdot 14832} = 0.4$
33285	Determine if True	2 log base 7 of 5 = log base 7 of 2/5	$2 \log_{7} (5) = \log_{7} (\frac{2}{5})$
33286	Determine if True	2sec(120)^2-2+3sec(120)=0	$2 \sec^{2} (120) - 2 + 3 \sec (120) = 0$
33287	Determine if True	-14=5(-4)+6	$- 14 = 5 (- 4) + 6$
33288	Determine if True	14sin(30)*8.7+50=0	$14 \sin (30) \cdot 8.7 + 50 = 0$
33289	Determine if True	15=45-30	$15 = 45 - 30$
33290	Determine if True	1500+0.65(-30000)=1500+0.65(75000-30000)	$1500 + 0.65 (- 30000) = 1500 + 0.65 (75000 - 30000)$
33291	Determine if True	-178=122	$- 178 = 122$
33292	Determine if True	17cos(33)=32	$17 \cos (33) = 32$
33293	Determine if True	18=1/2*(6.5^2)	$18 = \frac{1}{2} \cdot ({6.5}^{2})$
33294	Determine if True	18=pi/180*21	$18 = \frac{π}{180} \cdot 21$
33295	Determine if True	180-60=120	$180 - 60 = 120$
33296	Determine if True	195(6)=65+130e^(-0.075*6)	$195 (6) = 65 + 130 e^{- 0.075 \cdot 6}$
33297	Determine if True	195=225-30	$195 = 225 - 30$
33298	Determine if True	-19-9>2*-19-4	$- 19 - 9 > 2 \cdot - 19 - 4$
33299	Find Amplitude, Period, and Phase Shift	y=2cos(2theta)	$y = 2 \cos (2 θ)$
33300	Determine if True	1-cos(30)=sin(30)	$1 - \cos (30) = \sin (30)$