Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
40401	Write as a Function of x	log base 3 of 2y=4- log base 3 of x	$\log_{3} (2 y) = 4 - \log_{3} (x)$
40402	Find the Value Using the Unit Circle	(2pi)/3	$\frac{2 π}{3}$
40403	Find the Other Trig Values in Quadrant II	sin(theta)<0 , cos(theta)>0	$\sin (θ) < 0$ , $\cos (θ) > 0$
40404	Find the Other Trig Values in Quadrant I	sin(theta)=5/8	$\sin (θ) = \frac{5}{8}$
40405	Find the Value Using the Unit Circle	(7pi)/4	$\frac{7 π}{4}$
40406	Find the Asymptotes	f(x)=(x^3-2x^2-8x)/(x^2-9)	$f (x) = \frac{x^{3} - 2 x^{2} - 8 x}{x^{2} - 9}$
40407	Convert to Rectangular Coordinates	(3,pi/2)	$(3, \frac{π}{2})$
40408	Convert to a Decimal	(3pi)/2	$\frac{3 π}{2}$
40409	Divide	(2pi)/((2pi)/3)	$\frac{2 π}{\frac{2 π}{3}}$
40410	Divide	pi/3	$\frac{π}{3}$
40411	Find the Other Trig Values in Quadrant IV	cos(theta)=15/17	$\cos (θ) = \frac{15}{17}$
40412	Divide	34/2	$\frac{34}{2}$
40413	Find the Asymptotes	(2x+6)/(-6x+3)	$\frac{2 x + 6}{- 6 x + 3}$
40414	Find the Degree	tan(theta) = square root of 3	$\tan (θ) = \sqrt{3}$
40415	Find the x and y Intercepts	y=-3cos(4x+pi/3)	$y = - 3 \cos (4 x + \frac{π}{3})$
40416	Find the Value Using the Unit Circle	(5pi)/3	$\frac{5 π}{3}$
40417	Determine if Odd, Even, or Neither	f(x)=cot(x)	$f (x) = \cot (x)$
40418	Find All Complex Solutions	cos(x)=1/2	$\cos (x) = \frac{1}{2}$
40419	Find All Complex Solutions	sin(theta)=( square root of 3)/2	$\sin (θ) = \frac{\sqrt{3}}{2}$
40420	Find the Value Using the Unit Circle	(5pi)/4	$\frac{5 π}{4}$
40421	Find the Other Trig Values in Quadrant IV	cos(theta)=4/9	$\cos (θ) = \frac{4}{9}$
40422	Find the Other Trig Values in Quadrant II	tan(theta)=-5/12	$\tan (θ) = - \frac{5}{12}$
40423	Find All Complex Solutions	sin(x)=1/2	$\sin (x) = \frac{1}{2}$
40424	Find Amplitude, Period, and Phase Shift	y=sin(x-150)	$y = \sin (x - 150)$
40425	Simplify/Condense	(sin(theta))/(cos(theta))+(cos(theta))/(sin(theta))	$\frac{\sin (θ)}{\cos (θ)} + \frac{\cos (θ)}{\sin (θ)}$
40426	Divide	1/4	$\frac{1}{4}$
40427	Divide	(3pi)/4	$\frac{3 π}{4}$
40428	Find All Complex Solutions	cos(x)=( square root of 2)/2	$\cos (x) = \frac{\sqrt{2}}{2}$
40429	Find the Other Trig Values in Quadrant I	cos(2theta)=( square root of 3)/2	$\cos (2 θ) = \frac{\sqrt{3}}{2}$
40430	Expand Using Sum/Difference Formulas	tan(75 degrees )	$\tan (75 °)$
40431	Find the Asymptotes	(3x^2+6)/(x^2-2x-3)	$\frac{3 x^{2} + 6}{x^{2} - 2 x - 3}$
40432	Find the Domain and Range	f(x)=arccos(x)	$f (x) = \arccos (x)$
40433	Find the Other Trig Values in Quadrant I	sec(theta)=7/4	$\sec (θ) = \frac{7}{4}$
40434	Find the Other Trig Values in Quadrant I	cot(theta)=4/3	$\cot (θ) = \frac{4}{3}$
40435	Find the Asymptotes	f(x)=(x^2-81)/x	$f (x) = \frac{x^{2} - 81}{x}$
40436	Write as a Single Logarithm	5 log base b of 2x- log base b of x	$5 \log_{b} (2 x) - \log_{b} (x)$
40437	Find the Trig Value	sin(3theta)=1	$\sin (3 θ) = 1$
40438	Find the Domain and Range	f(x)=cot(x)	$f (x) = \cot (x)$
40439	Expand the Trigonometric Expression	cos(3theta)	$\cos (3 θ)$
40440	Find the Other Trig Values in Quadrant II	sin(theta)=6/7	$\sin (θ) = \frac{6}{7}$
40441	Find the x and y Intercepts	y=-3sin(1/2x+pi/5)	$y = - 3 \sin (\frac{1}{2} x + \frac{π}{5})$
40442	Convert to Rectangular Coordinates	(2,pi/4)	$(2, \frac{π}{4})$
40443	Find the Domain	f(x)=(2x-1)/(x^2-2x-24)	$f (x) = \frac{2 x - 1}{x^{2} - 2 x - 24}$
40444	Find the Roots (Zeros)	x^3-x^2-17x-15	$x^{3} - x^{2} - 17 x - 15$
40445	Find the Degree	cot(theta) = square root of 3	$\cot (θ) = \sqrt{3}$
40446	Find the Other Trig Values in Quadrant I	sin(theta)=8/9	$\sin (θ) = \frac{8}{9}$
40447	Verify the Identity	sin(pi/2+theta)=cos(theta)	$\sin (\frac{π}{2} + θ) = \cos (θ)$
40448	Write as a Single Logarithm	4 log of 6+2 log of 9	$4 \log (6) + 2 \log (9)$
40449	Find the Inverse	f(x)=(2x-1)/(x+2)	$f (x) = \frac{(2 x - 1)}{(x + 2)}$
40450	Find the Domain and Range	(2x+6)/(-6x+3)	$\frac{2 x + 6}{- 6 x + 3}$
40451	Find the Domain and Range	(3x^2+6)/(x^2-2x-3)	$\frac{3 x^{2} + 6}{x^{2} - 2 x - 3}$
40452	Find All Complex Solutions	sin(2theta)=( square root of 3)/2	$\sin (2 θ) = \frac{\sqrt{3}}{2}$
40453	Factor	f(x)=2x^3-4x^2-38x+76	$f (x) = 2 x^{3} - 4 x^{2} - 38 x + 76$
40454	Find the Other Trig Values in Quadrant I	cos(theta)=2/7	$\cos (θ) = \frac{2}{7}$
40455	Find the Asymptotes	f(x)=(x^2)/(x^4-256)	$f (x) = \frac{x^{2}}{x^{4} - 256}$
40456	Divide	54/2	$\frac{54}{2}$
40457	Divide	((2pi)/3)÷2	$\frac{2 π}{3} \div 2$
40458	Divide Using Long Polynomial Division	(x^3-8x^2+17x-11)/(x-4)	$\frac{x^{3} - 8 x^{2} + 17 x - 11}{x - 4}$
40459	Factor	4x^4-37x^2+9	$4 x^{4} - 37 x^{2} + 9$
40460	Factor	x^2+xy+3x+2y+2	$x^{2} + x y + 3 x + 2 y + 2$
40461	Find the Domain and Range	(x-5)/(3x+4)	$\frac{x - 5}{3 x + 4}$
40462	Find the x and y Intercepts	y=-cos(1/2x+pi/5)	$y = - \cos (\frac{1}{2} x + \frac{π}{5})$
40463	Find the Asymptotes	f(x)=(5x)/(x^2-16)	$f (x) = \frac{5 x}{x^{2} - 16}$
40464	Find the Asymptotes	y=tan(x-pi/2)	$y = \tan (x - \frac{π}{2})$
40465	Find the Domain and Range	f(x)=-3sin(x/2-pi/3)+5	$f (x) = - 3 \sin (\frac{x}{2} - \frac{π}{3}) + 5$
40466	Find the Asymptotes	(2x^2+2x-4)/(x^2+x)	$\frac{2 x^{2} + 2 x - 4}{x^{2} + x}$
40467	Find the Asymptotes	(x-5)/(x^2-25)	$\frac{x - 5}{x^{2} - 25}$
40468	Find the Value Using the Unit Circle	pi/2	$\frac{π}{2}$
40469	Find the Trig Value	tan(theta)=1/2	$\tan (θ) = \frac{1}{2}$
40470	Find the Trig Value	sin(theta)=12/13	$\sin (θ) = \frac{12}{13}$
40471	Find the Trig Value	sin(theta)=2/3	$\sin (θ) = \frac{2}{3}$
40472	Find the Domain	f(x)=(2x-1)/(x^2+x-72)	$f (x) = \frac{2 x - 1}{x^{2} + x - 72}$
40473	Find the Asymptotes	f(x)=(x+2)/(x^2+x-12)	$f (x) = \frac{x + 2}{x^{2} + x - 12}$
40474	Divide	(3pi)/2	$\frac{3 π}{2}$
40475	Find the Roots (Zeros)	4x^3-27x^2-11x-1=0	$4 x^{3} - 27 x^{2} - 11 x - 1 = 0$
40476	Find All Complex Solutions	cos(2theta-pi/2)=1	$\cos (2 θ - \frac{π}{2}) = 1$
40477	Multiply	22.5*2	$22.5 \cdot 2$
40478	Find the Trig Value	cos(theta)=3/5	$\cos (θ) = \frac{3}{5}$
40479	Convert from Degrees to Radians	153 degrees	$153 °$
40480	Find Amplitude, Period, and Phase Shift	f(x)=2/5cos(x/3)	$f (x) = \frac{2}{5} \cos (\frac{x}{3})$
40481	Find the Maximum/Minimum Value	f(x)=x^2-20x+106	$f (x) = x^{2} - 20 x + 106$
40482	Find the Asymptotes	f(x)=(x^2-9)/(x-2)	$f (x) = \frac{(x^{2} - 9)}{(x - 2)}$
40483	Divide	4/8	$\frac{4}{8}$
40484	Divide	12/13	$\frac{12}{13}$
40485	Divide	36/3	$\frac{36}{3}$
40486	Divide	(2pi)/((4pi)/3)	$\frac{2 π}{\frac{4 π}{3}}$
40487	Find the Domain and Range	f(x)=csc(x)	$f (x) = \csc (x)$
40488	Find the Asymptotes	y=3cot(2x)-4	$y = 3 \cot (2 x) - 4$
40489	Find the Roots (Zeros)	x^4-3x^3-27x+81	$x^{4} - 3 x^{3} - 27 x + 81$
40490	Find the Domain	square root of x^2-7	$\sqrt{x^{2} - 7}$
40491	Find the Asymptotes	-4tan(2x)	$- 4 \tan (2 x)$
40492	Find the Trig Value	sin(theta)=1	$\sin (θ) = 1$
40493	Convert to Rectangular Coordinates	(1,(11pi)/6)	$(1, \frac{11 π}{6})$
40494	Expand Using Sum/Difference Formulas	sin(285 degrees )	$\sin (285 °)$
40495	Find Amplitude, Period, and Phase Shift	y=cos((2pi)/5)x-1	$y = \cos (\frac{2 π}{5}) x - 1$
40496	Find the Domain and Range	y=-3\|cos(x)\|+2	$y = - 3 \| \cos (x) \| + 2$
40497	Find the Roots (Zeros)	2x^5-13x^4+24x^3-34x^2+150x-225	$2 x^{5} - 13 x^{4} + 24 x^{3} - 34 x^{2} + 150 x - 225$
40498	Simplify/Condense	(cos(theta)^2-sin(theta)^2)/(sin(theta)^4-cos(theta)^4)	$\frac{\cos^{2} (θ) - \sin^{2} (θ)}{\sin^{4} (θ) - \cos^{4} (θ)}$
40499	Find the Asymptotes	(2x-2)/(x+2)	$\frac{2 x - 2}{x + 2}$
40500	Convert to Rectangular	r=5/(1+cos(theta))	$r = \frac{5}{1 + \cos (θ)}$