Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
29601	Solve by Graphing	(4sin(x)^2-1)sin(x)=0	$(4 \sin^{2} (x) - 1) \sin (x) = 0$
29602	Solve by Graphing	(cos(x)+sin(x))(1-cos(x)sin(x))=sin(x)^3+cos(x)^3	$(\cos (x) + \sin (x)) (1 - \cos (x) \sin (x)) = \sin^{3} (x) + \cos^{3} (x)$
29603	Solve by Graphing	(cos(x)-2)(cos(x)-2)+sin(x)^2=4	$(\cos (x) - 2) (\cos (x) - 2) + \sin^{2} (x) = 4$
29604	Solve by Graphing	(tan(theta)-1)(cos(theta)+1)=0	$(\tan (θ) - 1) (\cos (θ) + 1) = 0$
29605	Solve by Graphing	(tan(x+ square root of 3))(2sin(x-1))=0	$(\tan (x + \sqrt{3})) (2 \sin (x - 1)) = 0$
29606	Solve by Graphing	(x)=x^3-8x^2+5x+14	$(x) = x^{3} - 8 x^{2} + 5 x + 14$
29607	Solve by Graphing	(x-3)(x-7)=0	$(x - 3) (x - 7) = 0$
29608	Solve by Graphing	-(x-4)+3x=-12	$- (x - 4) + 3 x = - 12$
29609	Solve by Graphing	0.02x^2-0.5x+0.07=0	$0.02 x^{2} - 0.5 x + 0.07 = 0$
29610	Solve by Graphing	0.4=sin(x)	$0.4 = \sin (x)$
29611	Solve by Graphing	0.9x=7^(x^2)	$0.9 x = 7^{x^{2}}$
29612	Solve by Graphing	x=0^0	$x = 0^{0}$
29613	Solve by Graphing	x=6/7	$x = \frac{6}{7}$
29614	Solve by Graphing	x=arccos(0.11180)	$x = \arccos (0.1118)$
29615	Solve by Graphing	x=arcsin(-18/( square root of 468))	$x = \arcsin (\frac{- 18}{\sqrt{468}})$
29616	Solve by Graphing	x=arctan(4/3)	$x = \arctan (\frac{4}{3})$
29617	Solve by Graphing	x=arctan(4/-5)	$x = \arctan (\frac{4}{- 5})$
29618	Solve by Graphing	x=arctan(5/3)	$x = \arctan (\frac{5}{3})$
29619	Solve by Graphing	x=arctan(2)	$x = \arctan (2)$
29620	Solve by Graphing	x = square root of 3-cos(x)	$x = \sqrt{3} - \cos (x)$
29621	Solve by Graphing	x=100	$x = 100$
29622	Solve by Graphing	x=-112	$x = - 112$
29623	Determine if True	log base 4 of 16384=7	$\log_{4} (16384) = 7$
29624	Determine if True	log base 7 of 32 = log base 7 of 2	$\log_{7} (32) = \log_{7} (2)$
29625	Determine if True	log base 8 of 512=13	$\log_{8} (512) = 13$
29626	Determine if True	pi/3cos(pi/6)=1/2(sin(pi/2)+sin(pi/6))	$\frac{π}{3} \cdot \cos (\frac{π}{6}) = \frac{1}{2} \cdot (\sin (\frac{π}{2}) + \sin (\frac{π}{6}))$
29627	Determine if True	0.364=tan(20)	$0.364 = \tan (20)$
29628	Determine if True	-0.9419=(3pi)/2	$- 0.9419 = \frac{3 π}{2}$
29629	Determine if True	190=506.25sin(20.5)cos(20.5)	$190 = 506.25 \sin (20.5) \cos (20.5)$
29630	Determine if True	2 square root of 3sin(40)=3	$2 \sqrt{3} \sin (40) = 3$
29631	Determine if True	24=(2pi)/24	$24 = \frac{2 π}{24}$
29632	Determine if True	300(60)=300e^(0.45(60))	$300 (60) = 300 e^{0.45 (60)}$
29633	Determine if True	-360<0<360	$- 360 < 0 < 360$
29634	Determine if True	3sin(60)+2cos(60)=2	$3 \sin (60) + 2 \cos (60) = 2$
29635	Determine if True	4(cot(0)+1)=2(cot(0)+2)	$4 (\cot (0) + 1) = 2 (\cot (0) + 2)$
29636	Determine if True	4 = log of 10000	$4 = \log (10000)$
29637	Determine if True	5 = log base 4 of 1024	$5 = \log_{4} (1024)$
29638	Solve for ?	4sin(theta)^2-3=0	$4 \sin^{2} (θ) - 3 = 0$
29639	Factor	sin(2theta)	$\sin (2 θ)$
29640	Determine if True	7sec(pi/3)-14=0	$7 \sec (\frac{π}{3}) - 14 = 0$
29641	Determine if True	8sin(0-2)^2=0	$8 \sin^{2} (0 - 2) = 0$
29642	Determine if True	arccos(cos(2))=2	$\arccos (\cos (2)) = 2$
29643	Determine if True	cos((7pi)/24)=sec(5)	$\cos (\frac{7 π}{24}) = \sec (5)$
29644	Determine if True	cos(pi/2)=0	$\cos (\frac{π}{2}) = 0$
29645	Determine if True	cos(pi/3)=1/2	$\cos (\frac{π}{3}) = \frac{1}{2}$
29646	Determine if True	cos(20)cos(40)cos(60)cos(80)=1/16	$\cos (20) \cos (40) \cos (60) \cos (80) = \frac{1}{16}$
29647	Determine if True	cos(52)=cos(25)	$\cos (52) = \cos (25)$
29648	Determine if True	cos(60)=1-2sin(30)^2	$\cos (60) = 1 - 2 \sin^{2} (30)$
29649	Determine if True	csc(0)=4/5	$\csc (0) = \frac{4}{5}$
29650	Determine if True	natural log of 1.98=0.036	$\ln (1.98) = 0.036$
29651	Determine if True	log of 100000=5	$\log (100000) = 5$
29652	Determine if True	sec(30/2)=2	$\sec (\frac{30}{2}) = 2$
29653	Determine if True	sec(pi/3)-2=0	$\sec (\frac{π}{3}) - 2 = 0$
29654	Determine if True	sec(0)=1.366	$\sec (0) = 1.366$
29655	Determine if True	sec(225.33)=1/(cos(225.33))	$\sec (225.33) = \frac{1}{\cos (225.33)}$
29656	Determine if True	sin(1/4)=sec( square root of 15)	$\sin (\frac{1}{4}) = \sec (\sqrt{15})$
29657	Determine if True	sin((3pi)/2)+ square root of 3cos(pi/6)=-1	$\sin (\frac{3 π}{2}) + \sqrt{3} \cos (\frac{π}{6}) = - 1$
29658	Determine if True	sin((3pi)/4) = square root of 1/2	$\sin (\frac{3 π}{4}) = \sqrt{\frac{1}{2}}$
29659	Determine if True	sin(0)=1/6	$\sin (0) = \frac{1}{6}$
29660	Determine if True	sin(0)=0.7266	$\sin (0) = 0.7266$
29661	Determine if True	sin(0)=cos(0)tan(0)	$\sin (0) = \cos (0) \tan (0)$
29662	Determine if True	sin(0.5)-cos(0.4)=0.5	$\sin (0.5) - \cos (0.4) = 0.5$
29663	Determine if True	sin((2pi)/4)=sin(pi/4)cos(pi/4)	$\sin (\frac{2 π}{4}) = \sin (\frac{π}{4}) \cos (\frac{π}{4})$
29664	Simplify	cos(5theta)^2-sin(5theta)^2	$\cos^{2} (5 θ) - \sin^{2} (5 θ)$
29665	Determine if True	sin(20)=1/2	$\sin (20) = \frac{1}{2}$
29666	Determine if True	sin(20)=cos(70)	$\sin (20) = \cos (70)$
29667	Determine if True	sin(30)=4	$\sin (30) = 4$
29668	Determine if True	sin(375)=sin(330+45)	$\sin (375) = \sin (330 + 45)$
29669	Determine if True	sin(45-45)=sin(45)cos(45)-cos(45)sin(45)	$\sin (45 - 45) = \sin (45) \cos (45) - \cos (45) \sin (45)$
29670	Determine if True	sin(52)=i/i	$\sin (52) = \frac{i}{i}$
29671	Determine if True	tan(((5pi)/6)/2)=(sin((5pi)/6))/(1+cos((5pi)/6))	$\tan (\frac{\frac{5 π}{6}}{2}) = \frac{\sin (\frac{5 π}{6})}{1 + \cos (\frac{5 π}{6})}$
29672	Determine if True	tan(0/2+(pipi)/3)=1	$\tan (\frac{0}{2} + \frac{π π}{3}) = 1$
29673	Determine if True	tan(pi/12)=(tan(pi/4)-tan(pi/6))/(1+tan(pi/4)tan(pi/6))	$\tan (\frac{π}{12}) = \frac{\tan (\frac{π}{4}) - \tan (\frac{π}{6})}{1 + \tan (\frac{π}{4}) \tan (\frac{π}{6})}$
29674	Determine if True	tan(pi/12)=2- square root of 3	$\tan (\frac{π}{12}) = 2 - \sqrt{3}$
29675	Determine if True	tan(20)tan(40)tan(60)tan(80)=3	$\tan (20) \tan (40) \tan (60) \tan (80) = 3$
29676	Determine if True	tan(210)=(2tan(105))/(1-tan(105)^2)	$\tan (210) = \frac{2 \tan (105)}{1 - \tan^{2} (105)}$
29677	Determine if True	tan(36)=14/23.5	$\tan (36) = \frac{14}{23.5}$
29678	Determine if True	tan(3pi) = square root of 3	$\tan (3 π) = \sqrt{3}$
29679	Determine if True	tan(6.5)=350	$\tan (6.5) = 350$
29680	Determine if True	tan(70)=tan(20)+2tan(50)	$\tan (70) = \tan (20) + 2 \tan (50)$
29681	Determine if True	tan(9)-tan(2.5)=17tan(35)	$\tan (9) - \tan (2.5) = 17 \tan (35)$
29682	Determine if True	tan(90)=cot(90)	$\tan (90) = \cot (90)$
29683	Simplify	sin((3pi)/2)+cos((2pi)/3)	$\sin (\frac{3 π}{2}) + \cos (\frac{2 π}{3})$
29684	Find the Other Trig Values in Quadrant I	cos(theta)=2/5	$\cos (θ) = \frac{2}{5}$
29685	Solve by Graphing	cos(270)	$\cos (270)$
29686	Determine if True	tan(90.0)=5/19	$\tan (90) = \frac{5}{19}$
29687	Determine if True	tan(arctan(4/3)-arctan(1/7))=1	$\tan (\arctan (\frac{4}{3}) - \arctan (\frac{1}{7})) = 1$
29688	Determine if True	tan(e)=0.25	$\tan (e) = 0.25$
29689	Determine if True	12/(sin(12))=71/(sin(68))	$\frac{12}{\sin (12)} = \frac{71}{\sin (68)}$
29690	Determine if True	(1-cos(2)+sin(2))/(1+cos(2)+sin(2))=tan(0)	$\frac{1 - \cos (2) + \sin (2)}{1 + \cos (2) + \sin (2)} = \tan (0)$
29691	Determine if True	4.6^2=(6.8^2)+(5.4^2)-26.85.4	${4.6}^{2} = ({6.8}^{2}) + ({5.4}^{2}) - 2 \cdot 6.8 \cdot 5.4$
29692	Find the Sine Given the Point	(3/5,4/5)	$(\frac{3}{5}, \frac{4}{5})$
29693	Determine if True	6^5=7776	$6^{5} = 7776$
29694	Determine if True	7.4^2=3.2^2+5.7^2-23.25.7	${7.4}^{2} = {3.2}^{2} + {5.7}^{2} - 2 \cdot 3.2 \cdot 5.7$
29695	Determine if True	tan(30)=- square root of 3	$\tan (30) = - \sqrt{3}$
29696	Determine if True	tan(30)=12	$\tan (30) = 12$
29697	Determine if True	tan(30)=cot(30+40)	$\tan (30) = \cot (30 + 40)$
29698	Determine if True	tan(30.4)=33.8/57.6	$\tan (30.4) = \frac{33.8}{57.6}$
29699	Determine if True	tan(32)=25	$\tan (32) = 25$
29700	Determine if True	tan(321)=-4/5	$\tan (321) = - \frac{4}{5}$