Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12101	Find the Domain	tan(pi/15x)	$\tan (\frac{π}{15} x)$
12102	Find the Domain	sin(x)cos(x)+( square root of 3)/2*cos(2x)	$\sin (x) \cos (x) + \frac{\sqrt{3}}{2} \cdot \cos (2 x)$
12103	Find the Domain	t=pi/2	$t = \frac{π}{2}$
12104	Find the Domain	t=-pi/2	$t = - \frac{π}{2}$
12105	Find the Domain	t=pi/3	$t = \frac{π}{3}$
12106	Find the Domain	K	$K$
12107	Find the Domain	sin(2x)cos(x)+cos(2x)sin(x)=0	$\sin (2 x) \cos (x) + \cos (2 x) \sin (x) = 0$
12108	Find the Domain	sin(arcsin(x)+arccos(x))	$\sin (\arcsin (x) + \arccos (x))$
12109	Find the Domain	r=2sin(x)	$r = 2 \sin (x)$
12110	Find the Domain	sin(2x)=sin(x)	$\sin (2 x) = \sin (x)$
12111	Find the Domain	sin(3x)=1	$\sin (3 x) = 1$
12112	Find the Domain	sin(3x)=-1	$\sin (3 x) = - 1$
12113	Find the Domain	sin(e^(-x))	$\sin (e^{- x})$
12114	Find the Other Trig Values in Quadrant I	sin(theta)=3/4	$\sin (θ) = \frac{3}{4}$
12115	Find the Domain	f(x)=-tan(x+7)-6	$f (x) = - \tan (x + 7) - 6$
12116	Find the Domain	log of (3x^2)/12	$\log (\frac{3 x^{2}}{12})$
12117	Find the Domain	log of 3x = log of 5+ log of x-4	$\log (3 x) = \log (5) + \log (x - 4)$
12118	Find the Domain	f(x)=cos(x-45)	$f (x) = \cos (x - 45)$
12119	Find the Domain	f(x)=cot(x)	$f (x) = \cot (x)$
12120	Find the Domain	f(x)=-7cos(5x)	$f (x) = - 7 \cos (5 x)$
12121	Find the Domain	f(x)=7sin(x)	$f (x) = 7 \sin (x)$
12122	Find the Domain	f(x)=4sin(2x)	$f (x) = 4 \sin (2 x)$
12123	Find the Domain	f(x)=2tan(x)-3	$f (x) = 2 \tan (x) - 3$
12124	Find the Domain	f(x)=3x^2-24x-7	$f (x) = 3 x^{2} - 24 x - 7$
12125	Find the Reference Angle	(29pi)/6	$\frac{29 π}{6}$
12126	Find the Domain	f(x)=2cos(3x-1)	$f (x) = 2 \cos (3 x - 1)$
12127	Find the Domain	f(x)=2(x-3)^2-3	$f (x) = 2 {(x - 3)}^{2} - 3$
12128	Find the Domain	f(x) = square root of x^2-4x-5	$f (x) = \sqrt{x^{2} - 4 x - 5}$
12129	Find the Domain	f(x) = square root of x^2-9x+18	$f (x) = \sqrt{x^{2} - 9 x + 18}$
12130	Find the Domain	f(x) = square root of 5x-1	$f (x) = \sqrt{5 x - 1}$
12131	Find the Domain	f(x)=- square root of x-2	$f (x) = - \sqrt{x - 2}$
12132	Find the Domain	f(x)=(x+3)/(x^2+5x-24)	$f (x) = \frac{x + 3}{x^{2} + 5 x - 24}$
12133	Find the Domain	f(x)=x^2-3x	$f (x) = x^{2} - 3 x$
12134	Find the Domain	f(x)=15/((x+8)(x-3))	$f (x) = \frac{15}{(x + 8) (x - 3)}$
12135	Find the Domain	f(x)=(2x^2-4)/(3x^2+6x-45)	$f (x) = \frac{2 x^{2} - 4}{3 x^{2} + 6 x - 45}$
12136	Find the Domain	f(x)=1/3*tan(2x)	$f (x) = \frac{1}{3} \cdot \tan (2 x)$
12137	Find the Domain	f(t)=-tan(0.4t)	$f (t) = - \tan (0.4 t)$
12138	Find the Domain	f(x)=( cube root of x)/( square root of 90-9x)	$f (x) = \frac{\sqrt[3]{x}}{\sqrt{90 - 9 x}}$
12139	Find the Domain	cos(x+(3pi)/2)	$\cos (x + \frac{3 π}{2})$
12140	Find the Domain	f(x)=3/( square root of 4x-5)	$f (x) = \frac{3}{\sqrt{4 x - 5}}$
12141	Find the Domain	f(x)=(2x(x-2))/(5x^2-29x-6)	$f (x) = \frac{2 x (x - 2)}{5 x^{2} - 29 x - 6}$
12142	Solve for ?	sin(2theta)=-( square root of 3)/2	$\sin (2 θ) = - \frac{\sqrt{3}}{2}$
12143	Find the Domain	f(x) = square root of (1+sin(x))/(1-sin(x))	$f (x) = \sqrt{\frac{1 + \sin (x)}{1 - \sin (x)}}$
12144	Find the Domain	f(x)=arcsin((x+4)/3)	$f (x) = \arcsin (\frac{x + 4}{3})$
12145	Find the Domain	f(x)=(5x^2+5)/(x^2-9)	$f (x) = \frac{5 x^{2} + 5}{x^{2} - 9}$
12146	Find the Domain	f(x)=(5x)/(x-3)	$f (x) = \frac{5 x}{x - 3}$
12147	Find the Domain	cos(arctan(u))	$\cos (\arctan (u))$
12148	Find the Domain	cos(arctan(x))	$\cos (\arctan (x))$
12149	Find the Domain	cos(cos(x))	$\cos (\cos (x))$
12150	Find the Domain	(3pi)/2	$\frac{3 π}{2}$
12151	Find the Domain	cos(x)cot(x)=1/(sin(x))-sin(x)	$\cos (x) \cot (x) = \frac{1}{\sin (x)} - \sin (x)$
12152	Find the Domain	cos(4x)-cos(6x)=0	$\cos (4 x) - \cos (6 x) = 0$
12153	Find the Domain	arccot(x)	$arccot (x)$
12154	Find the Domain	5sin(x)+3=0	$5 \sin (x) + 3 = 0$
12155	Find the Domain	5x+5y	$5 x + 5 y$
12156	Find the Domain	6arccos(2x)=5pi	$6 \arccos (2 x) = 5 π$
12157	Find the Domain	cot(arctan(x/( square root of 3)))	$\cot (\arctan (\frac{x}{\sqrt{3}}))$
12158	Find the Domain	csc(x)tan(x)=sec(x)	$\csc (x) \tan (x) = \sec (x)$
12159	Find the Domain	csc(x)	$\csc (x)$
12160	Split Using Partial Fraction Decomposition	(x+32)/(x^2+24x+128)	$\frac{x + 32}{x^{2} + 24 x + 128}$
12161	Split Using Partial Fraction Decomposition	8/(2s^-3)	$\frac{8}{2 s^{- 3}}$
12162	Split Using Partial Fraction Decomposition	(6pi)/((3pi)/4)	$\frac{6 π}{\frac{3 π}{4}}$
12163	Simplify	( square root of (a+x)^3 cube root of (a+x)^2)/( fourth root of a+x)	$\frac{\sqrt{{(a + x)}^{3}} \sqrt[3]{{(a + x)}^{2}}}{\sqrt[4]{a + x}}$
12164	Find the Domain	y=tan(pi/4x)	$y = \tan (\frac{π}{4} x)$
12165	Split Using Partial Fraction Decomposition	(-7pi)/12	$\frac{- 7 π}{12}$
12166	Split Using Partial Fraction Decomposition	(sin(x))/( square root of 1-sin(x)^2)	$\frac{\sin (x)}{\sqrt{1 - \sin^{2} (x)}}$
12167	Split Using Partial Fraction Decomposition	(2pi)/(5rad)	$\frac{2 π}{5 r a d}$
12168	Divide	((x^2-81)/(48x+441))/((x-9)/63)	$\frac{\frac{x^{2} - 81}{48 x + 441}}{\frac{x - 9}{63}}$
12169	Evaluate	( square root of 125- square root of 6)/( square root of 30-5)	$\frac{\sqrt{125} - \sqrt{6}}{\sqrt{30} - 5}$
12170	Evaluate	(1/4)/(( square root of 15)/4)	$\frac{\frac{1}{4}}{\frac{\sqrt{15}}{4}}$
12171	Evaluate	(1/5)/((2 square root of 6)/5)	$\frac{\frac{1}{5}}{\frac{2 \sqrt{6}}{5}}$
12172	Evaluate	(3-2 square root of 3)/(2+7 square root of 3)	$\frac{3 - 2 \sqrt{3}}{2 + 7 \sqrt{3}}$
12173	Split Using Partial Fraction Decomposition	1/(x^-1)	$\frac{1}{x^{- 1}}$
12174	Split Using Partial Fraction Decomposition	(x^-6)/(x^3)	$\frac{x^{- 6}}{x^{3}}$
12175	Split Using Partial Fraction Decomposition	(1-0)/(pi/2-0)	$\frac{1 - 0}{\frac{π}{2} - 0}$
12176	Split Using Partial Fraction Decomposition	(y^3+2y^2+6)/(y-2)	$\frac{y^{3} + 2 y^{2} + 6}{y - 2}$
12177	Split Using Partial Fraction Decomposition	(36a^2+29ab-20b^2)/(4a+5b)	$\frac{36 a^{2} + 29 a b - 20 b^{2}}{4 a + 5 b}$
12178	Split Using Partial Fraction Decomposition	(1+b/(a-b))/(1-a/(a-b))	$\frac{1 + \frac{b}{a - b}}{1 - \frac{a}{a - b}}$
12179	Split Using Partial Fraction Decomposition	(2pi)/(1/8)	$\frac{2 π}{\frac{1}{8}}$
12180	Find the Domain	y-2x^2+16x-3	$y - 2 x^{2} + 16 x - 3$
12181	Find the Domain	((2m^2)^-1)/(m^2)	$\frac{{(2 m^{2})}^{- 1}}{m^{2}}$
12182	Find the Domain	y=cot(1/6x)	$y = \cot (\frac{1}{6} x)$
12183	Find the Domain	y=cos(2x-pi)	$y = \cos (2 x - π)$
12184	Find the Domain	y=cot(x-pi/2)	$y = \cot (x - \frac{π}{2})$
12185	Find the Domain	y=csc(x)+1	$y = \csc (x) + 1$
12186	Find the Domain	y = log of 5x	$y = \log (5 x)$
12187	Find the Domain	y=tan(pi/14x)	$y = \tan (\frac{π}{14} x)$
12188	Find the Domain	y=tan(pi/10x)	$y = \tan (\frac{π}{10} x)$
12189	Find the Domain	y=sin(x+pi/4)	$y = \sin (x + \frac{π}{4})$
12190	Find the Domain	y=sin(-6x)	$y = \sin (- 6 x)$
12191	Find the Domain	y=sin(7x)	$y = \sin (7 x)$
12192	Find the Domain	y=sec(2x+pi/4)	$y = \sec (2 x + \frac{π}{4})$
12193	Find the Domain	y = log of x-4	$y = \log (x - 4)$
12194	Find the Domain	y=sec(x-pi/2)	$y = \sec (x - \frac{π}{2})$
12195	Find the Domain	(-3x^2-48x-4)/((x+9)(x^2+8))	$\frac{- 3 x^{2} - 48 x - 4}{(x + 9) (x^{2} + 8)}$
12196	Find the Domain	y = square root of tan(x)	$y = \sqrt{\tan (x)}$
12197	Find the Domain	y=1-2sec(1/2x+pi)	$y = 1 - 2 \sec (\frac{1}{2} x + π)$
12198	Find the Domain	f(x)=sec(2x)	$f (x) = \sec (2 x)$
12199	Find the Domain	y=1/2*sin(x+pi)	$y = \frac{1}{2} \cdot \sin (x + π)$
12200	Find the Domain	y=1/(2-csc(x))	$y = \frac{1}{2 - \csc (x)}$