Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
28701	Find Where Undefined/Discontinuous	2sin(3x)- square root of 3=0	$2 \sin (3 x) - \sqrt{3} = 0$
28702	Find Where Undefined/Discontinuous	2tan(a)-3tan(a)-1=0	$2 \tan (a) - 3 \tan (a) - 1 = 0$
28703	Find Where Undefined/Discontinuous	4sin(4y)=16sin(ycos(y-16sin(ycos(y))^3)^3)	$4 \sin (4 y) = 16 \sin (y \cos^{3} (y - 16 \sin^{3} (y \cos (y))))$
28704	Find Where Undefined/Discontinuous	4x+68=90	$4 x + 68 = 90$
28705	Find Where Undefined/Discontinuous	5cos(2x)=12sin(2x)+3	$5 \cos (2 x) = 12 \sin (2 x) + 3$
28706	Find Where Undefined/Discontinuous	sin(x)tan(x)+cos(x)	$\sin (x) \tan (x) + \cos (x)$
28707	Find Where Undefined/Discontinuous	sin(x-x)+cot(x)cos(x+x/2)	$\sin (x - x) + \cot (x) \cos (x + \frac{x}{2})$
28708	Find Where Undefined/Discontinuous	tan(pi/4-x)	$\tan (\frac{π}{4} - x)$
28709	Find Where Undefined/Discontinuous	tan(arccsc(x))	$\tan (arccsc (x))$
28710	Find Where Undefined/Discontinuous	tan(pi+x)	$\tan (π + x)$
28711	Find Where Undefined/Discontinuous	tan(-x)cos(x)	$\tan (- x) \cos (x)$
28712	Find Where Undefined/Discontinuous	square root of cos(2pi( natural log of x-5))	$\sqrt{\cos (2 π (\ln (x - 5)))}$
28713	Find Where Undefined/Discontinuous	(sin(x)+cos(x))^2=sin(x)^2+cos(x)^2	${(\sin (x) + \cos (x))}^{2} = \sin^{2} (x) + \cos^{2} (x)$
28714	Find the Asymptotes	csc(x)	$\csc (x)$
28715	Solve for x	y=1+tan(1/2x)	$y = 1 + \tan (\frac{1}{2} x)$
28716	Find Where Undefined/Discontinuous	cos(2pi-w)	$\cos (2 π - w)$
28717	Find Where Undefined/Discontinuous	sin(2x)- square root of 3cos(2x)	$\sin (2 x) - \sqrt{3} \cos (2 x)$
28718	Find Where Undefined/Discontinuous	sin(2x)sin(3x)+cos(2x)cos(3x)	$\sin (2 x) \sin (3 x) + \cos (2 x) \cos (3 x)$
28719	Find Where Undefined/Discontinuous	sin(5)cos(55)+cos(5)sin(55)	$\sin (5) \cos (55) + \cos (5) \sin (55)$
28720	Find Where Undefined/Discontinuous	(sin(52)x)/32	$\frac{\sin (52) x}{32}$
28721	Find Where Undefined/Discontinuous	sin(arcsin(x)+arccos(x))	$\sin (\arcsin (x) + \arccos (x))$
28722	Find Where Undefined/Discontinuous	sin(npi+pi/2)	$\sin (n π + \frac{π}{2})$
28723	Find Where Undefined/Discontinuous	sin(t-pi/2)	$\sin (t - \frac{π}{2})$
28724	Find Where Undefined/Discontinuous	sin(t+2pi)-cos(t+10pi)+tan(t+5pi)	$\sin (t + 2 π) - \cos (t + 10 π) + \tan (t + 5 π)$
28725	Simplify	1/(cos(theta))	$\frac{1}{\cos (θ)}$
28726	Find Where Undefined/Discontinuous	cos(x)=-19/( square root of 986)	$\cos (x) = \frac{- 19}{\sqrt{986}}$
28727	Find Where Undefined/Discontinuous	cos(x)=t/3	$\cos (x) = \frac{t}{3}$
28728	Find Where Undefined/Discontinuous	cos((3pi)/2-x)=-sin(x)	$\cos (\frac{3 π}{2} - x) = - \sin (x)$
28729	Find Where Undefined/Discontinuous	cos(0+1)=sin(0)	$\cos (0 + 1) = \sin (0)$
28730	Find Where Undefined/Discontinuous	cos(2x)+cos(3x)+cos(4x)+cos(5x)=0	$\cos (2 x) + \cos (3 x) + \cos (4 x) + \cos (5 x) = 0$
28731	Find Where Undefined/Discontinuous	cot(x)(tan(x)+( square root of 3)/3)=0	$\cot (x) (\tan (x) + \frac{\sqrt{3}}{3}) = 0$
28732	Find Where Undefined/Discontinuous	csc(x)=-120	$\csc (x) = - 120$
28733	Find Where Undefined/Discontinuous	sec((pix)/4)	$\sec (\frac{π x}{4})$
28734	Find Where Undefined/Discontinuous	sec(arccot(( square root of 64-u^2)/u))	$\sec (arccot (\frac{\sqrt{64 - u^{2}}}{u}))$
28735	Find Where Undefined/Discontinuous	sec(-u)	$\sec (- u)$
28736	Find Where Undefined/Discontinuous	sin(10)cos(35)+cos(10)sin(35)	$\sin (10) \cos (35) + \cos (10) \sin (35)$
28737	Find Where Undefined/Discontinuous	sin(135-30)	$\sin (135 - 30)$
28738	Find Where Undefined/Discontinuous	sin(14)*cos(30)	$\sin (14) \cdot \cos (30)$
28739	Find Where Undefined/Discontinuous	sin(-150)	$\sin (- 150)$
28740	Find Where Undefined/Discontinuous	sin(270+n*360)	$\sin (270 + n \cdot 360)$
28741	Find Where Undefined/Discontinuous	sin(2arcsin(7x))	$\sin (2 \arcsin (7 x))$
28742	Simplify	csc(theta)^2-1	$\csc^{2} (θ) - 1$
28743	Simplify	2sin(5)thetacos(5)theta	$2 \sin (5) θ \cos (5) θ$
28744	Find Where Undefined/Discontinuous	(2-j)/(2+j)	$\frac{2 - j}{2 + j}$
28745	Find Where Undefined/Discontinuous	(2x)/(9x^2+15x)-8/(3x+5)	$\frac{2 x}{9 x^{2} + 15 x} - \frac{8}{3 x + 5}$
28746	Find Where Undefined/Discontinuous	3/4*sin(pi/3x)	$\frac{3}{4} \cdot \sin (\frac{π}{3} x)$
28747	Find Where Undefined/Discontinuous	-3/(4x-8)	$\frac{- 3}{4 x - 8}$
28748	Find Where Undefined/Discontinuous	3/(tan(x)- square root of 3)	$\frac{3}{\tan (x) - \sqrt{3}}$
28749	Find Where Undefined/Discontinuous	(-3sin(x)+4cos(x))/(5cos(x)+2sin(x))	$\frac{- 3 \sin (x) + 4 \cos (x)}{5 \cos (x) + 2 \sin (x)}$
28750	Find Where Undefined/Discontinuous	(3w)/(2w-10)	$\frac{3 w}{2 w - 10}$
28751	Find Where Undefined/Discontinuous	(3x-6)/(2-x)	$\frac{3 x - 6}{2 - x}$
28752	Find Where Undefined/Discontinuous	(4x^2-10x+6)/(2x^2+x-3)	$\frac{4 x^{2} - 10 x + 6}{2 x^{2} + x - 3}$
28753	Find Where Undefined/Discontinuous	(4y^3-8y)/(y^2-2y)	$\frac{4 y^{3} - 8 y}{y^{2} - 2 y}$
28754	Find Where Undefined/Discontinuous	(4sin(A)cos(A)cos(2A)*sin(15))/(sin(2A)(tan(225)-2sin(A)^2))	$\frac{4 \sin (A) \cdot \cos (A) \cdot \cos (2 A) \cdot \sin (15)}{\sin (2 A) (\tan (225) - 2 \sin^{2} (A))}$
28755	Find Where Undefined/Discontinuous	(-4y)/(3y^2-4y+1)	$\frac{- 4 y}{3 y^{2} - 4 y + 1}$
28756	Find Where Undefined/Discontinuous	(5x^2-33x-14)/((5x^2-19x-30)/((25x^2+15x+2)/(5x^2+11x+6)))	$\frac{5 x^{2} - 33 x - 14}{\frac{5 x^{2} - 19 x - 30}{\frac{25 x^{2} + 15 x + 2}{5 x^{2} + 11 x + 6}}}$
28757	Find Where Undefined/Discontinuous	5/( cube root of 36x^2)	$\frac{5}{\sqrt[3]{36 x^{2}}}$
28758	Find Where Undefined/Discontinuous	(5x-13)/(x^2-4x-5)	$\frac{5 x - 13}{x^{2} - 4 x - 5}$
28759	Find Where Undefined/Discontinuous	(6x^2-8x^3+9x^2+7)/(3x^2)	$\frac{6 x^{2} - 8 x^{3} + 9 x^{2} + 7}{3 x^{2}}$
28760	Find Where Undefined/Discontinuous	(6a)/(5a^2-3a-8)	$\frac{6 a}{5 a^{2} - 3 a - 8}$
28761	Find Where Undefined/Discontinuous	(6x+5)/(6x^3-43x^2-64x-20)	$\frac{6 x + 5}{6 x^{3} - 43 x^{2} - 64 x - 20}$
28762	Find Where Undefined/Discontinuous	(7j-5)/(2j)+(5j-6)/(5j^2)-(7-8j)/7	$\frac{7 j - 5}{2 j} + \frac{5 j - 6}{5 j^{2}} - \frac{7 - 8 j}{7}$
28763	Find Where Undefined/Discontinuous	(8m)/(m^2-9m)	$\frac{8 m}{m^{2} - 9 m}$
28764	Find Where Undefined/Discontinuous	(8v+3)/(3v+8)	$\frac{8 v + 3}{3 v + 8}$
28765	Find Where Undefined/Discontinuous	(9x^2-4)/(3x^2+4x-4)	$\frac{9 x^{2} - 4}{3 x^{2} + 4 x - 4}$
28766	Find Where Undefined/Discontinuous	cos(x)^4-sin(x)^4	$\cos^{4} (x) - \sin^{4} (x)$
28767	Find Where Undefined/Discontinuous	cos(x)^2-3sin(x)^2	$\cos^{2} (x) - 3 \sin^{2} (x)$
28768	Find Where Undefined/Discontinuous	cos(a)^4+sin(a)^4+sin(a)^4cos(a)^4	$\cos^{4} (a) + \sin^{4} (a) + \sin^{4} (a) \cos^{4} (a)$
28769	Find Where Undefined/Discontinuous	cos(1000/x)^50	$\cos^{50} (\frac{1000}{x})$
28770	Find Where Undefined/Discontinuous	cot(x)^2	$\cot^{2} (x)$
28771	Find Where Undefined/Discontinuous	(csc(-x))/(1+tan(x)^2)	$\frac{\csc (- x)}{1 + \tan^{2} (x)}$
28772	Find Where Undefined/Discontinuous	csc(x-1)^2	$\csc^{2} (x - 1)$
28773	Find Where Undefined/Discontinuous	csc(t)^4-cot(t)^4	$\csc^{4} (t) - \cot^{4} (t)$
28774	Find Where Undefined/Discontinuous	log of (6)^6- log of 6y	$\log ({(6)}^{6}) - \log (6) y$
28775	Find Where Undefined/Discontinuous	log base b of 7	$\log_{b} (7)$
28776	Find Where Undefined/Discontinuous	pi/2+npi	$\frac{π}{2} + n π$
28777	Find Where Undefined/Discontinuous	(z^2+8z+16)/(z^2-3z-28)	$\frac{z^{2} + 8 z + 16}{z^{2} - 3 z - 28}$
28778	Find Where Undefined/Discontinuous	( square root of sec(x-1)^2)/(sec(-1)^2)	$\frac{\sqrt{\sec^{2} (x - 1)}}{\sec^{2} (- 1)}$
28779	Find Where Undefined/Discontinuous	1/((7x)-3/4)	$\frac{1}{(7 x) - \frac{3}{4}}$
28780	Find Where Undefined/Discontinuous	1/(cos(x)^2)-(sin(x)^2)/(cos(x)^2)	$\frac{1}{\cos^{2} (x)} - \frac{\sin^{2} (x)}{\cos^{2} (x)}$
28781	Find Where Undefined/Discontinuous	1/(csc(x)^2)+1/(sec(x)^2)	$\frac{1}{\csc^{2} (x)} + \frac{1}{\sec^{2} (x)}$
28782	Find Where Undefined/Discontinuous	1/(- square root of 1/2)	$\frac{1}{- \sqrt{\frac{1}{2}}}$
28783	Find Where Undefined/Discontinuous	1/2* log of x-5-7	$\frac{1}{2} \cdot \log (x - 5) - 7$
28784	Find Where Undefined/Discontinuous	1/2*sec(t+2)-pi	$\frac{1}{2} \cdot \sec (t + 2) - π$
28785	Find Where Undefined/Discontinuous	1/(3*(pr^2))	$\frac{1}{3 \cdot (p r^{2})}$
28786	Find Where Undefined/Discontinuous	1/(sin(x))-sin(x)	$\frac{1}{\sin (x)} - \sin (x)$
28787	Find Where Undefined/Discontinuous	1/(sin(x)cos(x))-(cos(x))/(sin(x))	$\frac{1}{\sin (x) \cos (x)} - \frac{\cos (x)}{\sin (x)}$
28788	Find Where Undefined/Discontinuous	(10p^6)/(10p^4)	$\frac{10 p^{6}}{10 p^{4}}$
28789	Find Where Undefined/Discontinuous	12/(4x^2-17x+4)	$\frac{12}{4 x^{2} - 17 x + 4}$
28790	Find Where Undefined/Discontinuous	(-16x^3-16x^2+13x+8)/(4x-1)	$\frac{- 16 x^{3} - 16 x^{2} + 13 x + 8}{4 x - 1}$
28791	Find Where Undefined/Discontinuous	(18w^2-24w)/(6w^2-48w)	$\frac{18 w^{2} - 24 w}{6 w^{2} - 48 w}$
28792	Find Where Undefined/Discontinuous	(-18y^5)/(-3y^2)	$\frac{- 18 y^{5}}{- 3 y^{2}}$
28793	Find Where Undefined/Discontinuous	(2*(63.6mi^2))/(63.6mi^2)	$\frac{2 \cdot (63.6 {mi}^{2})}{63.6 {mi}^{2}}$
28794	Find Where Undefined/Discontinuous	2/(x-2)-1/(x+3)+3/(x^2-9)	$\frac{2}{x - 2} - \frac{1}{x + 3} + \frac{3}{x^{2} - 9}$
28795	Find Where Undefined/Discontinuous	(sin(x)sec(x))/(tan(x))	$\frac{\sin (x) \sec (x)}{\tan (x)}$
28796	Find Where Undefined/Discontinuous	t^2-2t-2	$t^{2} - 2 t - 2$
28797	Find Where Undefined/Discontinuous	(tan(37)-tan(13))/(1+tan(37)tan(13))	$\frac{\tan (37) - \tan (13)}{1 + \tan (37) \tan (13)}$
28798	Find Where Undefined/Discontinuous	(tan(40)+tan(110))/(1-tan(40)tan(110))	$\frac{\tan (40) + \tan (110)}{1 - \tan (40) \tan (110)}$
28799	Find Where Undefined/Discontinuous	(tan(x)+cot(x))/(csc(x))	$\frac{\tan (x) + \cot (x)}{\csc (x)}$
28800	Find Where Undefined/Discontinuous	(tan(x)-cot(x))/(tan(x)cot(x))	$\frac{\tan (x) - \cot (x)}{\tan (x) \cot (x)}$