Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
45001	Solve the Triangle	a=12 , b=11 , A=35	$a = 12$ , $b = 11$ , $A = 35$
45002	Solve the Triangle	a=12 , b=22 , C=95	$a = 12$ , $b = 22$ , $C = 95$
45003	Find the Sine Given the Point	((- square root of 5)/3,-2/3)	$(\frac{- \sqrt{5}}{3}, \frac{- 2}{3})$
45004	Find the Sine Given the Point	(( square root of 5)/4,-( square root of 11)/4)	$(\frac{\sqrt{5}}{4}, - \frac{\sqrt{11}}{4})$
45005	Find the Sine Given the Point	(-( square root of 55)/8,3/8)	$(- \frac{\sqrt{55}}{8}, \frac{3}{8})$
45006	Find the Sine Given the Point	(1/2,4/9)	$(\frac{1}{2}, \frac{4}{9})$
45007	Find the Sine Given the Point	(-1/2, square root of 3/2)	$(- \frac{1}{2}, \sqrt{\frac{3}{2}})$
45008	Find the Sine Given the Point	(-1/3,(2 square root of 2)/3)	$(- \frac{1}{3}, \frac{2 \sqrt{2}}{3})$
45009	Find the Sine Given the Point	(1/4,1/3)	$(\frac{1}{4}, \frac{1}{3})$
45010	Find the Sine Given the Point	(-1/4,-3/4)	$(- \frac{1}{4}, - \frac{3}{4})$
45011	Find the Sine Given the Point	(( square root of 2)/3,( square root of 7)/3)	$(\frac{\sqrt{2}}{3}, \frac{\sqrt{7}}{3})$
45012	Find the Sine Given the Point	(( square root of 21)/5,-2/5)	$(\frac{\sqrt{21}}{5}, - \frac{2}{5})$
45013	Find the Sine Given the Point	(-( square root of 2)/4,-( square root of 14)/4)	$(- \frac{\sqrt{2}}{4}, - \frac{\sqrt{14}}{4})$
45014	Find the Sine Given the Point	(( square root of 2)/5,( square root of 23)/5)	$(\frac{\sqrt{2}}{5}, \frac{\sqrt{23}}{5})$
45015	Find the Sine Given the Point	(-( square root of 2)/5,( square root of 23)/5)	$(- \frac{\sqrt{2}}{5}, \frac{\sqrt{23}}{5})$
45016	Find the Sine Given the Point	(24/25,-7/25)	$(\frac{24}{25}, - \frac{7}{25})$
45017	Find the Sine Given the Point	(3/4,( square root of 7)/4)	$(\frac{3}{4}, \frac{\sqrt{7}}{4})$
45018	Find the Sine Given the Point	(3/4,7/16)	$(\frac{3}{4}, \frac{7}{16})$
45019	Find the Exact Value	cos(75)+cos(15)	$\cos (75) + \cos (15)$
45020	Find the Sine Given the Point	(-2/3,( square root of 5)/3)	$(- \frac{2}{3}, \frac{\sqrt{5}}{3})$
45021	Find the Sine Given the Point	(2/5,( square root of 21)/5)	$(\frac{2}{5}, \frac{\sqrt{21}}{5})$
45022	Find the Sine Given the Point	(-2/5,( square root of 21)/5)	$(- \frac{2}{5}, \frac{\sqrt{21}}{5})$
45023	Find the Sine Given the Point	(-2/5,( square root of 21)/5)	$(\frac{- 2}{5}, \frac{\sqrt{21}}{5})$
45024	Find the Sine Given the Point	(2/9,( square root of 77)/9)	$(\frac{2}{9}, \frac{\sqrt{77}}{9})$
45025	Find the Sine Given the Point	(-20/29,21/29)	$(- \frac{20}{29}, \frac{21}{29})$
45026	Find the Sine Given the Point	(-21/29,-20/29)	$(- \frac{21}{29}, - \frac{20}{29})$
45027	Find the Sine Given the Point	(21/29,-20/29)	$(\frac{21}{29}, - \frac{20}{29})$
45028	Find the Sine Given the Point	(-24/145,143/145)	$(- \frac{24}{145}, \frac{143}{145})$
45029	Find the Sine Given the Point	(-24/145,143/145)	$(\frac{- 24}{145}, \frac{143}{145})$
45030	Find the Sine Given the Point	(11/61,60/61)	$(\frac{11}{61}, \frac{60}{61})$
45031	Find the Sine Given the Point	(11/61,-60/61)	$(\frac{11}{61}, - \frac{60}{61})$
45032	Find the Sine Given the Point	(12/13,5/13)	$(\frac{12}{13}, \frac{5}{13})$
45033	Simplify	(sin(theta))/(cos(theta)tan(theta))	$\frac{\sin (θ)}{\cos (θ) \tan (θ)}$
45034	Find the Sine Given the Point	(-12/13,5/13)	$(\frac{- 12}{13}, \frac{5}{13})$
45035	Find the Sine Given the Point	(15/17,8/17)	$(\frac{15}{17}, \frac{8}{17})$
45036	Find the Sine Given the Point	(-15/17,8/17)	$(\frac{- 15}{17}, \frac{8}{17})$
45037	Find the Sine Given the Point	(-16/65,-63/65)	$(- \frac{16}{65}, - \frac{63}{65})$
45038	Find the Sine Given the Point	(40/41,9/41)	$(\frac{40}{41}, \frac{9}{41})$
45039	Find the Sine Given the Point	(5/13,-12/13)	$(\frac{5}{13}, - \frac{12}{13})$
45040	Find the Sine Given the Point	(-5/2,-33/4)	$(- \frac{5}{2}, - \frac{33}{4})$
45041	Find the Sine Given the Point	(4/5,3/5)	$(\frac{4}{5}, \frac{3}{5})$
45042	Find the Sine Given the Point	(-4/5,3/5)	$(- \frac{4}{5}, \frac{3}{5})$
45043	Find the Sine Given the Point	(4/5,-3/5)	$(\frac{4}{5}, - \frac{3}{5})$
45044	Find the Sine Given the Point	(-8/17,-15/17)	$(- \frac{8}{17}, - \frac{15}{17})$
45045	Find the Sine Given the Point	(-8/17,15/17)	$(\frac{- 8}{17}, \frac{15}{17})$
45046	Find the Sine Given the Point	(84/85,13/85)	$(\frac{84}{85}, \frac{13}{85})$
45047	Find the Sine Given the Point	(9/11,40/41)	$(\frac{9}{11}, \frac{40}{41})$
45048	Find the Sine Given the Point	(9/41,40/41)	$(\frac{9}{41}, \frac{40}{41})$
45049	Find the Sine Given the Point	(-9/41,-40/41)	$(- \frac{9}{41}, - \frac{40}{41})$
45050	Find the Sine Given the Point	(pi/2,0)	$(\frac{π}{2}, 0)$
45051	Find the Sine Given the Point	(pi/2,2)	$(\frac{π}{2}, 2)$
45052	Find the Sine Given the Point	(pi/3,1.5)	$(\frac{π}{3}, 1.5)$
45053	Find the Sine Given the Point	( square root of 3/2,-1/2)	$(\sqrt{\frac{3}{2}}, - \frac{1}{2})$
45054	Find the Sine Given the Point	( square root of 14, square root of 2)	$(\sqrt{14}, \sqrt{2})$
45055	Find the Sine Given the Point	(- square root of 19,9)	$(- \sqrt{19}, 9)$
45056	Find the Sine Given the Point	( square root of 3,-1)	$(\sqrt{3}, - 1)$
45057	Find the Sine Given the Point	( square root of 3,5)	$(\sqrt{3}, 5)$
45058	Find the Sine Given the Point	(- square root of 33,-60)	$(- \sqrt{33}, - 60)$
45059	Find the Sine Given the Point	( square root of 47, square root of 2)	$(\sqrt{47}, \sqrt{2})$
45060	Find the Sine Given the Point	( square root of 6, square root of 2)	$(\sqrt{6}, \sqrt{2})$
45061	Find the Sine Given the Point	( square root of 7,3)	$(\sqrt{7}, 3)$
45062	Find the Sine Given the Point	(5,-12)	$(5, - 12)$
45063	Find the Sine Given the Point	(0,9/41)	$(0, \frac{9}{41})$
45064	Find the Sine Given the Point	(0,0)	$(0, 0)$
45065	Find the Sine Given the Point	(0,24)	$(0, 24)$
45066	Find the Sine Given the Point	(0,2p)	$(0, 2 p)$
45067	Find the Sine Given the Point	(0,3)	$(0, 3)$
45068	Find the Sine Given the Point	(0,-10)	$(0, - 10)$
45069	Find the Sine Given the Point	(5/6, square root of 11/6)	$(\frac{5}{6}, \sqrt{\frac{11}{6}})$
45070	Find the Sine Given the Point	(-5/8,( square root of 39)/8)	$(- \frac{5}{8}, \frac{\sqrt{39}}{8})$
45071	Find the Sine Given the Point	(5/8,-3/8)	$(\frac{5}{8}, - \frac{3}{8})$
45072	Find the Sine Given the Point	(6/7,( square root of 13)/7)	$(\frac{6}{7}, \frac{\sqrt{13}}{7})$
45073	Find the Sine Given the Point	(-6/7,( square root of 13)/7)	$(- \frac{6}{7}, \frac{\sqrt{13}}{7})$
45074	Find the Sine Given the Point	(65/97,72/97)	$(\frac{65}{97}, \frac{72}{97})$
45075	Find the Sine Given the Point	(7/25,-24/25)	$(\frac{7}{25}, - \frac{24}{25})$
45076	Rationalize the Denominator	-3/( square root of x-5)	$\frac{- 3}{\sqrt{x} - 5}$
45077	Rationalize the Denominator	3/( cube root of 4x^2)	$\frac{3}{\sqrt[3]{4 x^{2}}}$
45078	Rationalize the Denominator	3/(5 square root of x-2)	$\frac{3}{5 \sqrt{x - 2}}$
45079	Rationalize the Denominator	(3a)/( fifth root of 8a^7b^13)	$\frac{3 a}{\sqrt[5]{8 a^{7} b^{13}}}$
45080	Rationalize the Denominator	(-43+2(2))/(2i square root of 3 square root of 13)	$\frac{- 4 \cdot 3 + 2 (2)}{2 i \sqrt{3} \cdot \sqrt{13}}$
45081	Rationalize the Denominator	(4 square root of 2z)/( square root of z^3)	$\frac{4 \sqrt{2 z}}{\sqrt{z^{3}}}$
45082	Rationalize the Denominator	4/( cube root of 2x^2)	$\frac{4}{\sqrt[3]{2 x^{2}}}$
45083	Rationalize the Denominator	4/(2 square root of x-3 square root of y)	$\frac{4}{2 \sqrt{x} - 3 \sqrt{y}}$
45084	Rationalize the Denominator	(4-6 square root of 3n)/(3 square root of 11n)	$\frac{4 - 6 \sqrt{3 n}}{3 \sqrt{11 n}}$
45085	Rationalize the Denominator	(5m^3n^4)/( square root of 5x^3)	$\frac{5 m^{3} n^{4}}{\sqrt{5 x^{3}}}$
45086	Rationalize the Denominator	(-5 square root of 11)/( square root of y)	$\frac{- 5 \sqrt{11}}{\sqrt{y}}$
45087	Rationalize the Denominator	(5x^3)/( square root of 4x-6)	$\frac{5 x^{3}}{\sqrt{4 x - 6}}$
45088	Rationalize the Denominator	5/( square root of 5x)	$\frac{5}{\sqrt{5 x}}$
45089	Rationalize the Denominator	-5/( square root of x+2)	$\frac{- 5}{\sqrt{x} + 2}$
45090	Rationalize the Denominator	(7 square root of 21+7i square root of 7)/( square root of 7+i square root of 21)	$\frac{7 \sqrt{21} + 7 i \sqrt{7}}{\sqrt{7} + i \sqrt{21}}$
45091	Rationalize the Denominator	7/( square root of 49-x^2)	$\frac{7}{\sqrt{49 - x^{2}}}$
45092	Rationalize the Denominator	7/( cube root of 147y)	$\frac{7}{\sqrt[3]{147 y}}$
45093	Rationalize the Denominator	7/(3+ square root of x)	$\frac{7}{3 + \sqrt{x}}$
45094	Rationalize the Denominator	(7x)/( square root of 11x)	$\frac{7 x}{\sqrt{11 x}}$
45095	Solve the Triangle	a=6 , b=8 , c=13	$a = 6$ , $b = 8$ , $c = 13$
45096	Solve the Triangle	a=6.3 , b=6.1 , c=6.9	$a = 6.3$ , $b = 6.1$ , $c = 6.9$
45097	Solve the Triangle	a=6.8 , c=2.4 , b=10.5	$a = 6.8$ , $c = 2.4$ , $b = 10.5$
45098	Solve the Triangle	a=62 , b=62 , c=8	$a = 62$ , $b = 62$ , $c = 8$
45099	Solve the Triangle	a=42 , b=72 , A=35	$a = 42$ , $b = 72$ , $A = 35$
45100	Solve the Triangle	A=42 , B=76 , c=12	$A = 42$ , $B = 76$ , $c = 12$