Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12301	Simplify	arctan(( square root of 3)/1)	$\arctan (\frac{\sqrt{3}}{1})$
12302	Simplify	cos(-(3 square root of 13)/13+1/2)	$\cos (- \frac{3 \sqrt{13}}{13} + \frac{1}{2})$
12303	Simplify	arctan(- square root of 3/3)	$\arctan (- \sqrt{\frac{3}{3}})$
12304	Simplify	arctan(- square root of 362)	$\arctan (- \sqrt{362})$
12305	Simplify	cot(arcsin(-( square root of 2)/4))	$\cot (\arcsin (- \frac{\sqrt{2}}{4}))$
12306	Simplify	cot(arcsin(-( square root of 2)/5))	$\cot (\arcsin (- \frac{\sqrt{2}}{5}))$
12307	Simplify	cot(arcsin(-( square root of 2)/6))	$\cot (\arcsin (- \frac{\sqrt{2}}{6}))$
12308	Simplify	cot(arcsin(-( square root of 6)/7))	$\cot (\arcsin (- \frac{\sqrt{6}}{7}))$
12309	Simplify	cot(arccos((- square root of 3)/3))	$\cot (\arccos (\frac{- \sqrt{3}}{3}))$
12310	Simplify	cot((1/2)/(( square root of 3)/2))	$\cot (\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}})$
12311	Simplify	cos(sin(-1 square root of 2/2))	$\cos (\sin (- 1 \sqrt{\frac{2}{2}}))$
12312	Simplify	cos(arctan( square root of 2))	$\cos (\arctan (\sqrt{2}))$
12313	Simplify	cot(1/( square root of 3))	$\cot (\frac{1}{\sqrt{3}})$
12314	Simplify	cot((2 square root of 3)/3)	$\cot (\frac{2 \sqrt{3}}{3})$
12315	Simplify	cot(7/( square root of 113))	$\cot (\frac{7}{\sqrt{113}})$
12316	Simplify	cot(arcsin(( square root of x^2-9)/x))	$\cot (\arcsin (\frac{\sqrt{x^{2} - 9}}{x}))$
12317	Simplify	cot(arcsin(-( square root of 2)/10))	$\cot (\arcsin (- \frac{\sqrt{2}}{10}))$
12318	Simplify	(h(x)(x-1))/(x^3-81x)	$\frac{h (x) (x - 1)}{x^{3} - 81 x}$
12319	Simplify	csc(-(2 square root of 3)/3)	$\csc (- \frac{2 \sqrt{3}}{3})$
12320	Simplify	csc(arccos(- square root of 3/2))	$\csc (\arccos (- \sqrt{\frac{3}{2}}))$
12321	Simplify	csc(arccsc( square root of 2))	$\csc (arccsc (\sqrt{2}))$
12322	Simplify	csc(arctan(x/( square root of 2)))	$\csc (\arctan (\frac{x}{\sqrt{2}}))$
12323	Simplify	cot( square root of 3/3)	$\cot (\sqrt{\frac{3}{3}})$
12324	Simplify	csc(-( square root of 2)/2)	$\csc (- \frac{\sqrt{2}}{2})$
12325	Simplify	arcsin(1/2* square root of 3)	$\arcsin (\frac{1}{2} \cdot \sqrt{3})$
12326	Simplify	arcsin(( square root of 36-x^2)/6)	$\arcsin (\frac{\sqrt{36 - x^{2}}}{6})$
12327	Simplify	arcsin(( square root of 6)/8)	$\arcsin (\frac{\sqrt{6}}{8})$
12328	Simplify	arcsin(3/( square root of x^2+8x+25))	$\arcsin (\frac{3}{\sqrt{x^{2} + 8 x + 25}})$
12329	Simplify	arcsin(-( square root of 2)/4)	$\arcsin (- \frac{\sqrt{2}}{4})$
12330	Simplify	arcsin(( square root of 3)/3)	$\arcsin (\frac{\sqrt{3}}{3})$
12331	Simplify	arcsin( square root of 6/2)	$\arcsin (\sqrt{\frac{6}{2}})$
12332	Solve for ?	2sin(theta)=1	$2 \sin (θ) = 1$
12333	Evaluate	tan(arcsin(-5/13))	$\tan (\arcsin (- \frac{5}{13}))$
12334	Simplify	arccsc(-2/( square root of 3))	$arccsc (\frac{- 2}{\sqrt{3}})$
12335	Simplify	arcot(- square root of 3)	arcot $(- \sqrt{3})$
12336	Simplify	arccsc(-2 square root of 2)	$arccsc (- 2 \sqrt{2})$
12337	Simplify	arccos(-4 square root of 10)	$\arccos (- 4 \sqrt{10})$
12338	Simplify	arccos(2/( square root of 21))	$\arccos (\frac{2}{\sqrt{21}})$
12339	Find the Exact Value	arccsc((2 square root of 3)/3)	$arccsc (\frac{2 \sqrt{3}}{3})$
12340	Simplify	10 square root of 2cos((11pi)/6)	$10 \sqrt{2} \cos (\frac{11 π}{6})$
12341	Simplify	5 square root of 80m	$5 \sqrt{80 m}$
12342	Simplify	4 square root of 150/( square root of 189x)	$4 \sqrt{\frac{150}{\sqrt{189 x}}}$
12343	Simplify	5 square root of 2x^3x( square root of 10x^5+3 square root of -6x^2)	$5 \sqrt{2 x^{3} x (\sqrt{10 x^{5} + 3 \sqrt{- 6 x^{2}}})}$
12344	Simplify	4( square root of 3)^2	$4 {(\sqrt{3})}^{2}$
12345	Simplify	4 square root of 363x^5y^7	$4 \sqrt{363 x^{5} y^{7}}$
12346	Find the Domain	4x^8-9x^5-3byx+1	$4 x^{8} - 9 x^{5} - 3 b y x + 1$
12347	Find the Domain	4sin(x)cos(x)+2sin(x)-2cos(x)-1=0	$4 \sin (x) \cos (x) + 2 \sin (x) - 2 \cos (x) - 1 = 0$
12348	Find the Domain	37=36.8+0.2cos(pi/12*(1-x))	$37 = 36.8 + 0.2 \cos (\frac{π}{12} \cdot (1 - x))$
12349	Find the Domain	180	$180$
12350	Find the Domain	-2i	$- 2 i$
12351	Find the Domain	square root of tan(x)	$\sqrt{\tan (x)}$
12352	Find the Domain	square root of 5x+7	$\sqrt{5 x + 7}$
12353	Find the Domain	x^2-18x+81=0	$x^{2} - 18 x + 81 = 0$
12354	Find the Domain	(5pi)/6	$\frac{5 π}{6}$
12355	Find the Domain	(7pi)/6	$\frac{7 π}{6}$
12356	Find the Domain	(3x-6)/(5x-10)	$\frac{3 x - 6}{5 x - 10}$
12357	Find the Domain	1/4*cos(3x)	$\frac{1}{4} \cdot \cos (3 x)$
12358	Find the Domain	(1+sin(x))/(1-sin(x))=(csc(x)+1)/(csc(x)-1)	$\frac{1 + \sin (x)}{1 - \sin (x)} = \frac{\csc (x) + 1}{\csc (x) - 1}$
12359	Find the Domain	(-20x^3-13x^2-14x-3)/(-4x-1)	$\frac{- 20 x^{3} - 13 x^{2} - 14 x - 3}{- 4 x - 1}$
12360	Find the Domain	arccsc(x)	$arccsc (x)$
12361	Find the Domain	log base 2 of x-3	$\log_{2} (x - 3)$
12362	Find the Domain	(3b)/( square root of 3b+57-1)	$\frac{3 b}{\sqrt{3 b + 57 - 1}}$
12363	Find the Domain	cos(x)^2	$\cos^{2} (x)$
12364	Find the Domain	r^2=-4cos(2x)	$r^{2} = - 4 \cos (2 x)$
12365	Find the Domain	tan(x)^3csc(x)^2-tan(x)^3	$\tan^{3} (x) \csc^{2} (x) - \tan^{3} (x)$
12366	Find the Domain	log base b of 64=3	$\log_{b} (64) = 3$
12367	Find the Domain	square root of (1-cos(5a))/(1+cos(5a))	$\sqrt{\frac{1 - \cos (5 a)}{1 + \cos (5 a)}}$
12368	Find the Domain	( square root of 2x-9)/(2x+9)	$\frac{\sqrt{2 x - 9}}{2 x + 9}$
12369	Find the Domain	(x^3-3x^2-x-10)/(x^2+3x-1)	$\frac{x^{3} - 3 x^{2} - x - 10}{x^{2} + 3 x - 1}$
12370	Find the Domain	(x^(3+4x))/(x^(4-1))	$\frac{x^{3 + 4 x}}{x^{4 - 1}}$
12371	Find the Domain	(x^2+12x+36)/(x^2-36)	$\frac{x^{2} + 12 x + 36}{x^{2} - 36}$
12372	Find the Domain	1/( square root of 2+sec(x))	$\frac{1}{\sqrt{2} + \sec (x)}$
12373	Find the Domain	(9x^2y^6)^(-1/2)	${(9 x^{2} y^{6})}^{- \frac{1}{2}}$
12374	Find the Domain	((2h)/32)^(1/2)	${(\frac{2 h}{32})}^{\frac{1}{2}}$
12375	Expand Using Sum/Difference Formulas	sin(pi/12)	$\sin (\frac{π}{12})$
12376	Simplify	fourth root of 48x^9y^3	$\sqrt[4]{48 x^{9} y^{3}}$
12377	Simplify	cube root of 27y^9	$\sqrt[3]{27 y^{9}}$
12378	Simplify	cube root of (12(x^2))/(16y)	$\sqrt[3]{\frac{12 (x^{2})}{16 y}}$
12379	Simplify	cube root of 375x^4	$\sqrt[3]{375 x^{4}}$
12380	Simplify	cube root of 40a^4	$\sqrt[3]{40 a^{4}}$
12381	Simplify	cube root of 686a^7b^9c^11	$\sqrt[3]{686 a^{7} b^{9} c^{11}}$
12382	Simplify	cube root of 8 square root of 3^3	$\sqrt[3]{8 \sqrt{3^{3}}}$
12383	Simplify	cube root of 8x^4	$\sqrt[3]{8 x^{4}}$
12384	Simplify	cube root of 81ab^4	$\sqrt[3]{81 a b^{4}}$
12385	Simplify	(18(x^3))/(6x)	$\frac{18 (x^{3})}{6 x}$
12386	Simplify	fifth root of 96y^9z^5	$\sqrt[5]{96 y^{9} z^{5}}$
12387	Simplify	sixth root of 3m^5n^8 sixth root of 9mn	$\sqrt[6]{3 m^{5} n^{8}} \sqrt[6]{9 m n}$
12388	Simplify	x^2y square root of 9x^2y^7	$x^{2} y \sqrt{9 x^{2} y^{7}}$
12389	Simplify	3 square root of (81x^5y^3)/(3x^2)	$3 \sqrt{\frac{81 x^{5} y^{3}}{3 x^{2}}}$
12390	Simplify	3 square root of 24x^8	$3 \sqrt{24 x^{8}}$
12391	Simplify	30(( square root of 3)/2)	$30 (\frac{\sqrt{3}}{2})$
12392	Simplify	30 square root of 2	$30 \sqrt{2}$
12393	Simplify	2 cube root of 16x^3y^4z^5	$2 \sqrt[3]{16 x^{3} y^{4} z^{5}}$
12394	Simplify	14 square root of 2	$14 \sqrt{2}$
12395	Simplify	-2(1+ square root of 3i)	$- 2 (1 + \sqrt{3} i)$
12396	Simplify	2(( square root of 2)/2)	$2 (\frac{\sqrt{2}}{2})$
12397	Simplify	2( square root of 3)^2	$2 {(\sqrt{3})}^{2}$
12398	Simplify	square root of 64x^5y^13	$\sqrt{64 x^{5} y^{13}}$
12399	Simplify	square root of -5-3b	$\sqrt{- 5 - 3 b}$
12400	Simplify	square root of 5-1	$\sqrt{5 - 1}$