Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12901	Simplify	cos(t+pi)	$\cos (t + π)$
12902	Simplify	cos(u)+sin(u)tan(u)	$\cos (u) + \sin (u) \tan (u)$
12903	Simplify	cos(u-v)	$\cos (u - v)$
12904	Simplify	cos(x)(2sin(x)+cos(x))-sin(x)^2	$\cos (x) (2 \sin (x) + \cos (x)) - \sin^{2} (x)$
12905	Simplify	cos(2x-pi/2)	$\cos (2 x - \frac{π}{2})$
12906	Simplify	cos(2pi-x)	$\cos (2 π - x)$
12907	Simplify	((8-3x)^(1/2)+3/2x(8-3x)^(-1/2))/(8-3x)	$\frac{{(8 - 3 x)}^{\frac{1}{2}} + \frac{3}{2} x {(8 - 3 x)}^{- \frac{1}{2}}}{8 - 3 x}$
12908	Simplify	cos(2x)+cot(2x)	$\cos (2 x) + \cot (2 x)$
12909	Simplify	cos(2x)+2sin(x)^2	$\cos (2 x) + 2 \sin^{2} (x)$
12910	Simplify	cos(2x)+2cos(x)	$\cos (2 x) + 2 \cos (x)$
12911	Simplify	cos(39)	$\cos (39)$
12912	Simplify	cos(39)+cos(141)	$\cos (39) + \cos (141)$
12913	Simplify	(4x)/(2x+6)	$\frac{4 x}{2 x + 6}$
12914	Simplify	natural log of ex^3	$\ln (e x^{3})$
12915	Simplify	cos(30)cos(45)-sin(30)sin(45)	$\cos (30) \cos (45) - \sin (30) \sin (45)$
12916	Simplify	cos(255)	$\cos (255)$
12917	Simplify	cos(25)cos(5)-sin(25)sin(5)	$\cos (25) \cos (5) - \sin (25) \sin (5)$
12918	Simplify	cos(20)cos(40)-sin(20)sin(40)	$\cos (20) \cos (40) - \sin (20) \sin (40)$
12919	Simplify	cos(2(-5/7))	$\cos (2 (- \frac{5}{7}))$
12920	Simplify	cos(390)	$\cos (390)$
12921	Simplify	cos(4x)cos(5x)-sin(4x)sin(5x)	$\cos (4 x) \cos (5 x) - \sin (4 x) \sin (5 x)$
12922	Simplify	cos(-45)	$\cos (- 45)$
12923	Simplify	cos(45)cos(15)-sin(45)sin(15)	$\cos (45) \cos (15) - \sin (45) \sin (15)$
12924	Simplify	cos(45)cos(30)-sin(45)sin(30)	$\cos (45) \cos (30) - \sin (45) \sin (30)$
12925	Simplify	cos(4x)cos(2x)-sin(2x)sin(4x)	$\cos (4 x) \cos (2 x) - \sin (2 x) \sin (4 x)$
12926	Simplify	cos((5pi)/24)	$\cos (\frac{5 π}{24})$
12927	Simplify	cos(5pi)	$\cos (5 π)$
12928	Simplify	cos(4x)cos(6x)	$\cos (4 x) \cos (6 x)$
12929	Simplify	cos(5a)cos(3a)	$\cos (5 a) \cos (3 a)$
12930	Simplify	(1+5/(c-1))/(1-5/(c-1))	$\frac{1 + \frac{5}{c - 1}}{1 - \frac{5}{c - 1}}$
12931	Simplify	cos(61)	$\cos (61)$
12932	Simplify	cos(-60)	$\cos (- 60)$
12933	Simplify	cos(60)cos(10)-60sin(10)	$\cos (60) \cos (10) - 60 \sin (10)$
12934	Simplify	cos(60)cos(30)+sin(60)sin(30)	$\cos (60) \cdot \cos (30) + \sin (60) \cdot \sin (30)$
12935	Simplify	cos(6730)	$\cos (6730)$
12936	Simplify	cos((7pi)/12)cos((5pi)/12)-sin((7pi)/12)sin((5pi)/12)	$\cos (\frac{7 π}{12}) \cos (\frac{5 π}{12}) - \sin (\frac{7 π}{12}) \sin (\frac{5 π}{12})$
12937	Simplify	cos(8x)cos(5x)-sin(8x)sin(5x)	$\cos (8 x) \cos (5 x) - \sin (8 x) \sin (5 x)$
12938	Simplify	cos(90-x)	$\cos (90 - x)$
12939	Simplify	i^4+i^-12	$i^{4} + i^{- 12}$
12940	Solve for ?	cot(theta)+1=0	$\cot (θ) + 1 = 0$
12941	Simplify	cos(6)	$\cos (6)$
12942	Simplify	cos(6pi-x)	$\cos (6 π - x)$
12943	Simplify	cos(73)	$\cos (73)$
12944	Simplify	cos(7x)cos(2x)	$\cos (7 x) \cos (2 x)$
12945	Solve for x	9^x=24	$9^{x} = 24$
12946	Solve for x	e^(4x)+2e^(2x)-35=0	$e^{4 x} + 2 e^{2 x} - 35 = 0$
12947	Solve for x	e^(3x+2)=e^3	$e^{3 x + 2} = e^{3}$
12948	Solve for x	e^(2x-1)=(e^4)^(-x)	$e^{2 x - 1} = {(e^{4})}^{- x}$
12949	Solve for x	e^(2x-4)=8	$e^{2 x - 4} = 8$
12950	Solve for x	log base 2 of 2x+9=6	$\log_{2} (2 x + 9) = 6$
12951	Solve for x	log base 2 of 3x-7<3	$\log_{2} (3 x - 7) < 3$
12952	Solve for x	log base 3 of 3x-6<2	$\log_{3} (3 x - 6) < 2$
12953	Solve for x	6/(x+4)=8/x	$\frac{6}{x + 4} = \frac{8}{x}$
12954	Solve for x	8/(x-4)>3/(x-4)	$\frac{8}{x - 4} > \frac{3}{x - 4}$
12955	Solve for x	(5x+7)/4=-3	$\frac{5 x + 7}{4} = - 3$
12956	Solve for x	(5x-5)/(2x+1)=1	$\frac{5 x - 5}{2 x + 1} = 1$
12957	Solve for x	8^(4-x)=993	$8^{4 - x} = 993$
12958	Solve for x	(5x-6)/(x-6)=0	$\frac{5 x - 6}{x - 6} = 0$
12959	Solve for x	6^x=21	$6^{x} = 21$
12960	Solve for x	4^x = fifth root of 64	$4^{x} = \sqrt[5]{64}$
12961	Solve for x	5^(3x)=8^(2x-3)	$5^{3 x} = 8^{2 x - 3}$
12962	Solve for x	(3x)/2-1/4=1/2	$\frac{3 x}{2} - \frac{1}{4} = \frac{1}{2}$
12963	Solve for x	3^(x^3)=81^x	$3^{x^{3}} = 81^{x}$
12964	Solve for x	4/9x+2/6=-1/6x+3/9	$\frac{4}{9} x + \frac{2}{6} = - \frac{1}{6} x + \frac{3}{9}$
12965	Solve for x	4/5>2-3/x	$\frac{4}{5} > 2 - \frac{3}{x}$
12966	Solve for x	4^(5-x)>15	$4^{5 - x} > 15$
12967	Solve for x	(2x-3)/(x+1)=1	$\frac{2 x - 3}{x + 1} = 1$
12968	Solve for x	-3/4x=-5/6+1/3x	$- \frac{3}{4} x = - \frac{5}{6} + \frac{1}{3} x$
12969	Solve for x	3/2(x+5)-1/4(x+24)=0	$\frac{3}{2} \cdot (x + 5) - \frac{1}{4} \cdot (x + 24) = 0$
12970	Solve for x	3^(1+2x)=27	$3^{1 + 2 x} = 27$
12971	Solve for x	log base x of 100=1/2	$\log_{x} (100) = \frac{1}{2}$
12972	Solve for x	log base x of y=4 , log base x of 4y=6	$\log_{x} (y) = 4$ , $\log_{x} (4 y) = 6$
12973	Solve for x	cube root of x^3 = cube root of e^4	$\sqrt[3]{x^{3}} = \sqrt[3]{e^{4}}$
12974	Solve for x	x/5-x/6=6/5	$\frac{x}{5} - \frac{x}{6} = \frac{6}{5}$
12975	Solve for x	x^2-12x+72=0	$x^{2} - 12 x + 72 = 0$
12976	Solve for x	x^2-10x+93.25=0	$x^{2} - 10 x + 93.25 = 0$
12977	Solve for x	x^2=9/16	$x^{2} = \frac{9}{16}$
12978	Solve for x	x^2<2x+8	$x^{2} < 2 x + 8$
12979	Solve for x	x^2+7x+12>0	$x^{2} + 7 x + 12 > 0$
12980	Solve for x	x^2+7x=15-x^2	$x^{2} + 7 x = 15 - x^{2}$
12981	Solve for x	x^(3/5)=15	$x^{\frac{3}{5}} = 15$
12982	Solve for x	x^(2/3)=64	$x^{\frac{2}{3}} = 64$
12983	Solve for x	x^2e^x-3e^x<0	$x^{2} e^{x} - 3 e^{x} < 0$
12984	Solve for x	square root of 2=4^x	$\sqrt{2} = 4^{x}$
12985	Solve for x	x/(2x-6)-3/(x^2-6x+9)=(x-2)/(3x-9)	$\frac{x}{2 x - 6} - \frac{3}{x^{2} - 6 x + 9} = \frac{x - 2}{3 x - 9}$
12986	Solve for x	x^2- square root of 3x-4=0	$x^{2} - \sqrt{3} x - 4 = 0$
12987	Solve for x	(x+8)/(x-5)=0	$\frac{x + 8}{x - 5} = 0$
12988	Solve for x	(x+9)/12=7/6+(x-6)/2	$\frac{x + 9}{12} = \frac{7}{6} + \frac{x - 6}{2}$
12989	Solve for x	(x-4)/(x+2)+2/(x-2)=17/(x^2-4)	$\frac{x - 4}{x + 2} + \frac{2}{x - 2} = \frac{17}{x^{2} - 4}$
12990	Solve for x	(x-6)/(-x-1)>0	$\frac{x - 6}{- x - 1} > 0$
12991	Solve for x	(x+2)/(x-5)>0	$\frac{x + 2}{x - 5} > 0$
12992	Solve for x	x^4-14x^3+48x^2=0	$x^{4} - 14 x^{3} + 48 x^{2} = 0$
12993	Solve for x	x^4(x-9)=0	$x^{4} (x - 9) = 0$
12994	Solve for x	x^4>64x^2	$x^{4} > 64 x^{2}$
12995	Solve for x	x^3-2x^2-3x<0	$x^{3} - 2 x^{2} - 3 x < 0$
12996	Solve for x	x^3-3x^2>0	$x^{3} - 3 x^{2} > 0$
12997	Solve for x	x^3-2x^2-5x-6=0	$x^{3} - 2 x^{2} - 5 x - 6 = 0$
12998	Solve for x	x^3-5x^2-22x-16=0	$x^{3} - 5 x^{2} - 22 x - 16 = 0$
12999	Solve for x	x^3+3x^2-5x-15=0	$x^{3} + 3 x^{2} - 5 x - 15 = 0$
13000	Solve for x	x^2-2x=48	$x^{2} - 2 x = 48$