Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
14801	Solve for a	(a^2-4a-12)/(a^2-10a+25)=6/(a-5)+(a-3)/(a-5)	$\frac{a^{2} - 4 a - 12}{a^{2} - 10 a + 25} = \frac{6}{a - 5} + \frac{a - 3}{a - 5}$
14802	Solve for a	(4a-7)(3a+8)=0	$(4 a - 7) (3 a + 8) = 0$
14803	Solve for a	(sin(48))/13=(sin(73))/a	$\frac{\sin (48)}{13} = \frac{\sin (73)}{a}$
14804	Solve for a	square root of 2a-9- square root of a-5=1	$\sqrt{2 a - 9} - \sqrt{a - 5} = 1$
14805	Solve for a	a^2+9a+20=0	$a^{2} + 9 a + 20 = 0$
14806	Solve for a	a^2-2a-48=0	$a^{2} - 2 a - 48 = 0$
14807	Solve for a	( square root of 74(2-a))/(v((2-a)^2+(3-b)^2))=5	$\frac{\sqrt{74} (2 - a)}{v ({(2 - a)}^{2} + {(3 - b)}^{2})} = 5$
14808	Solve for ?	y=cos(3x)	$y = \cos (3 x)$
14809	Solve for ?	y=tan((7x)/3)	$y = \tan (\frac{7 x}{3})$
14810	Solve for a	1/4a+8=1/2a	$\frac{1}{4} a + 8 = \frac{1}{2} a$
14811	Solve for A	27.35^2=(21.71)^2+(17.96)^2-221.7117.96cos(A)	${27.35}^{2} = {(21.71)}^{2} + {(17.96)}^{2} - 2 \cdot 21.71 \cdot 17.96 \cos (A)$
14812	Solve for A	(4y)/(5y)=A/(15y^2)	$\frac{4 y}{5 y} = \frac{A}{15 y^{2}}$
14813	Solve for a	a^2+12^2=15^2	$a^{2} + 12^{2} = 15^{2}$
14814	Solve for a	a^2+5^2=6^2	$a^{2} + 5^{2} = 6^{2}$
14815	Solve for a	sin(a)^2-sin(a)^4=cos(a)^2-cos(a)^4	$\sin^{2} (a) - \sin^{4} (a) = \cos^{2} (a) - \cos^{4} (a)$
14816	Solve for a	2cos(a)cos(b)=cos(a+b)+cos(a-b)	$2 \cos (a) \cos (b) = \cos (a + b) + \cos (a - b)$
14817	Solve for A	4.1042sin(90)=22sin(A)	$4.1042 \sin (90) = 22 \sin (A)$
14818	Solve for a	40a^2+20a-30=(-1)(15a^3+30)	$40 a^{2} + 20 a - 30 = (- 1) (15 a^{3} + 30)$
14819	Solve for a	a(n)=2^n	$a (n) = 2^{n}$
14820	Solve for a	a(n)=7n-4	$a (n) = 7 n - 4$
14821	Solve for a	a(n)=4n-1	$a (n) = 4 n - 1$
14822	Solve for A	A=1/2*((8)(12)sin(135))	$A = \frac{1}{2} \cdot ((8) (12) \sin (135))$
14823	Solve for A	A=1/2r^2	$A = \frac{1}{2} r^{2}$
14824	Solve for a	a=8/(tan(36))	$a = \frac{8}{\tan (36)}$
14825	Solve for a	a=arccos(26/( square root of 34* square root of 20))	$a = \arccos (\frac{26}{\sqrt{34} \cdot \sqrt{20}})$
14826	Solve for a	a=arctan(0.375)	$a = \arctan (0.375)$
14827	Solve for a	a=1/2*((10)^2(pi/2))	$a = \frac{1}{2} \cdot ({(10)}^{2} (\frac{π}{2}))$
14828	Solve for A	A=127.2e^(0.001(21))	$A = 127.2 e^{0.001 (21)}$
14829	Solve for a	a=31sin(27)	$a = 31 \sin (27)$
14830	Solve for A	A=1200(1+0.05/12)^(12*15)	$A = 1200 {(1 + \frac{0.05}{12})}^{12 \cdot 15}$
14831	Solve for A	A=arcsin(0.98)	$A = \arcsin (0.98)$
14832	Solve for A	A=A(0)	$A = A (0)$
14833	Solve for a	a=450*sin(70.5)	$a = 450 \cdot \sin (70.5)$
14834	Solve for a	cos(2a)sin(a)=0.4	$\cos (2 a) \sin (a) = 0.4$
14835	Solve for a	a=7.2tan(0.9)	$a = 7.2 \tan (0.9)$
14836	Solve for a	a=pi/8(rad)	$a = \frac{π}{8} \cdot (r a d)$
14837	Solve for a	cos(a)=150/500	$\cos (a) = \frac{150}{500}$
14838	Solve for A	cos(2A)=2/5	$\cos (2 A) = \frac{2}{5}$
14839	Solve for A	sin(A)=0.42	$\sin (A) = 0.42$
14840	Solve for a	sin(a)=0.5150	$\sin (a) = 0.515$
14841	Solve for A	sin(A)=5/8	$\sin (A) = \frac{5}{8}$
14842	Solve for A	sin(A)=h/b*sin(B)=h/a	$\sin (A) = \frac{h}{b} \cdot \sin (B) = \frac{h}{a}$
14843	Solve for a	cot(a/3)=( square root of 3)/3	$\cot (\frac{a}{3}) = \frac{\sqrt{3}}{3}$
14844	Solve for a	sin(40)=4/a	$\sin (40) = \frac{4}{a}$
14845	Solve for A	cos(A)csc(A)=cot(A)	$\cos (A) \csc (A) = \cot (A)$
14846	Solve for a	cot(30)=a/21	$\cot (30) = \frac{a}{21}$
14847	Solve for a	sin(66.4)=a/500	$\sin (66.4) = \frac{a}{500}$
14848	Solve for a	sin(a)=0.91	$\sin (a) = 0.91$
14849	Solve for a	cot(30)=a/43	$\cot (30) = \frac{a}{43}$
14850	Solve for a	cos(a+60)=4/5	$\cos (a + 60) = \frac{4}{5}$
14851	Solve for a	R(b+c)=a square root of bc	$R (b + c) = a \sqrt{b c}$
14852	Solve for a	sin(22)=a/10.6	$\sin (22) = \frac{a}{10.6}$
14853	Solve for a	sin(48)=7/a	$\sin (48) = \frac{7}{a}$
14854	Simplify	(2pi)/-3	$\frac{2 π}{- 3}$
14855	Simplify	(2pi)/3+2(1)pi	$\frac{2 π}{3} + 2 (1) π$
14856	Simplify	(2pi)/x	$\frac{2 π}{x}$
14857	Simplify	-(2pi)/3*180/pi	$- \frac{2 π}{3} \cdot \frac{180}{π}$
14858	Simplify	(2pi)/(3/2)	$\frac{2 π}{\frac{3}{2}}$
14859	Simplify	(2pi)/(180pi)	$\frac{2 π}{180 π}$
14860	Simplify	(2pi)/(pi/6)	$\frac{2 π}{\frac{π}{6}}$
14861	Simplify	(2pi)/((5pi)/4)	$\frac{2 π}{\frac{5 π}{4}}$
14862	Simplify	(2pi)/((2pi)/3)	$\frac{2 π}{\frac{2 π}{3}}$
14863	Simplify	(2npi)/4	$\frac{2 n π}{4}$
14864	Simplify	(2sin(x))/(cos(x))	$\frac{2 \sin (x)}{\cos (x)}$
14865	Simplify	(2sin(t))/(cos(2t))	$\frac{2 \sin (t)}{\cos (2 t)}$
14866	Simplify	(2sin(x))/(1+cos(x))	$\frac{2 \sin (x)}{1 + \cos (x)}$
14867	Simplify	(2tan(7))/(1-tan(7)^2)	$\frac{2 \tan (7)}{1 - \tan^{2} (7)}$
14868	Simplify	(2tan(x/2))/(1-tan(x/2)^2)	$\frac{2 \tan (\frac{x}{2})}{1 - \tan^{2} (\frac{x}{2})}$
14869	Simplify	(2+cot(x)^2)/(csc(x)^2)-1	$\frac{2 + \cot^{2} (x)}{\csc^{2} (x)} - 1$
14870	Simplify	2/(sin(2x))	$\frac{2}{\sin (2 x)}$
14871	Simplify	25/169	$\frac{25}{169}$
14872	Simplify	(2cos(x))/(sin(2x))	$\frac{2 \cos (x)}{\sin (2 x)}$
14873	Simplify	2/(sec(x))	$\frac{2}{\sec (x)}$
14874	Simplify	(2+tan(x)^2)/(sec(x)^2)	$\frac{2 + \tan^{2} (x)}{\sec^{2} (x)}$
14875	Simplify	(2cot(x))/(cot(x-1)^2)	$\frac{2 \cot (x)}{\cot^{2} (x - 1)}$
14876	Simplify	(2cot(x))/(1+cot(x)^2)	$\frac{2 \cot (x)}{1 + \cot^{2} (x)}$
14877	Simplify	25^(4x)	$25^{4 x}$
14878	Simplify	28/(tan(43))	$\frac{28}{\tan (43)}$
14879	Simplify	24/26	$\frac{24}{26}$
14880	Simplify	202/(sin(25))	$\frac{202}{\sin (25)}$
14881	Simplify	(2x^2-x-6)/(x^2-4)	$\frac{2 x^{2} - x - 6}{x^{2} - 4}$
14882	Simplify	(1-cos(x))/(tan(x))+(sin(x))/(1+cos(x))	$\frac{1 - \cos (x)}{\tan (x)} + \frac{\sin (x)}{1 + \cos (x)}$
14883	Simplify	(1-cos(x))/x	$\frac{1 - \cos (x)}{x}$
14884	Simplify	(1-cos(2u))/(1+cos(2u))	$\frac{1 - \cos (2 u)}{1 + \cos (2 u)}$
14885	Simplify	14/28*((150)(pi/180))	$\frac{14}{28} \cdot ((150) (\frac{π}{180}))$
14886	Simplify	(1-cos(4x))/(sin(4x))	$\frac{1 - \cos (4 x)}{\sin (4 x)}$
14887	Simplify	(1-cos(t))/(sin(t))	$\frac{1 - \cos (t)}{\sin (t)}$
14888	Simplify	(1-sin(x))/(sin(x))	$\frac{1 - \sin (x)}{\sin (x)}$
14889	Simplify	(1-sin(2x))/(sin(x)-cos(x))	$\frac{1 - \sin (2 x)}{\sin (x) - \cos (x)}$
14890	Simplify	(2+cos(a)tan(a)csc(a))/(sec(a))	$\frac{2 + \cos (a) \tan (a) \csc (a)}{\sec (a)}$
14891	Simplify	(1-cos(2x))/(2sin(x))	$\frac{1 - \cos (2 x)}{2 \sin (x)}$
14892	Simplify	2/(2cos(x))	$\frac{2}{2 \cos (x)}$
14893	Simplify	(17pi)/4	$\frac{17 π}{4}$
14894	Simplify	(150sin(150))/260	$\frac{150 \sin (150)}{260}$
14895	Simplify	(150sin(150))/280	$\frac{150 \sin (150)}{280}$
14896	Simplify	(15x-10x^2)/(4x^2+4x+1)*(4x^2+8+3)/(4x^2-9)	$\frac{15 x - 10 x^{2}}{4 x^{2} + 4 x + 1} \cdot \frac{4 x^{2} + 8 + 3}{4 x^{2} - 9}$
14897	Simplify	18.4^2+26.3^2-218.426.3cos(47.9)	${18.4}^{2} + {26.3}^{2} - 2 \cdot 18.4 \cdot 26.3 \cos (47.9)$
14898	Simplify	14^210^2-2(1410)cos(40)	$14^{2} \cdot 10^{2} - 2 (14 \cdot 10) \cos (40)$
14899	Simplify	(16s^2+8st+t^2)/(2s^2-5st-3t^2)*((2s^2-7st+3t^2)/(t^2+3st-4s^2))/((8s^2-2st-t^2)/(2s^2+3st+t^2))	$\frac{16 s^{2} + 8 s t + t^{2}}{2 s^{2} - 5 s t - 3 t^{2}} \cdot \frac{\frac{2 s^{2} - 7 s t + 3 t^{2}}{t^{2} + 3 s t - 4 s^{2}}}{\frac{8 s^{2} - 2 s t - t^{2}}{2 s^{2} + 3 s t + t^{2}}}$
14900	Simplify	(-13pi)/6	$\frac{- 13 π}{6}$