Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
22801	Find the Quadrant of the Angle	sin(150)	$\sin (150)$
22802	Find the Quadrant of the Angle	cos(360)	$\cos (360)$
22803	Find the Quadrant of the Angle	cos(52)	$\cos (52)$
22804	Find the Quadrant of the Angle	sec(45)	$\sec (45)$
22805	Find the Quadrant of the Angle	cos(22.5)	$\cos (22.5)$
22806	Find the Quadrant of the Angle	cos(330)	$\cos (330)$
22807	Find the Quadrant of the Angle	tan(75)	$\tan (75)$
22808	Find the Quadrant of the Angle	tan(60)	$\tan (60)$
22809	Expand Using De Moivre's Theorem	(1-i)^7	${(1 - i)}^{7}$
22810	Expand Using De Moivre's Theorem	(1-i)^5	${(1 - i)}^{5}$
22811	Expand Using De Moivre's Theorem	(2(cos(35)+isin(35)))^5	${(2 (\cos (35) + i \sin (35)))}^{5}$
22812	Find the Quadrant of the Angle	sec(30)	$\sec (30)$
22813	Find the Quadrant of the Angle	tan(120)	$\tan (120)$
22814	Find the Quadrant of the Angle	tan(405)	$\tan (405)$
22815	Expand Using De Moivre's Theorem	(sin(x))/(cos(x))+(cos(x))/(sin(x))	$\frac{\sin (x)}{\cos (x)} + \frac{\cos (x)}{\sin (x)}$
22816	Expand Using De Moivre's Theorem	(sec(x))/(tan(x)+cot(x))	$\frac{\sec (x)}{\tan (x) + \cot (x)}$
22817	Expand Using De Moivre's Theorem	cos(x)^6	$\cos^{6} (x)$
22818	Expand Using De Moivre's Theorem	(csc(x)-cot(x))/(sec(x)-1)	$\frac{\csc (x) - \cot (x)}{\sec (x) - 1}$
22819	Expand Using De Moivre's Theorem	(sin(6x)+sin(2x))/(sin(6x)+sin(2x))	$\frac{\sin (6 x) + \sin (2 x)}{\sin (6 x) + \sin (2 x)}$
22820	Expand Using De Moivre's Theorem	cos(2x)^2-sin(2x)^2	$\cos^{2} (2 x) - \sin^{2} (2 x)$
22821	Expand Using De Moivre's Theorem	cos(3x)^2	$\cos^{2} (3 x)$
22822	Expand Using De Moivre's Theorem	arctan(x)	$\arctan (x)$
22823	Expand Using De Moivre's Theorem	x^3+8	$x^{3} + 8$
22824	Expand Using De Moivre's Theorem	125(cos(270)+isin(270))	$125 (\cos (270) + i \sin (270))$
22825	Expand Using De Moivre's Theorem	2(cos(pi/3)+isin(pi/3))	$2 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))$
22826	Expand Using De Moivre's Theorem	2sin(13)cos(13)	$2 \sin (13) \cos (13)$
22827	Expand Using De Moivre's Theorem	1-3i	$1 - 3 i$
22828	Expand Using De Moivre's Theorem	-27i	$- 27 i$
22829	Expand Using De Moivre's Theorem	2cos(x)^2	$2 \cos^{2} (x)$
22830	Expand Using De Moivre's Theorem	-2+2 square root of 3i	$- 2 + 2 \sqrt{3 i}$
22831	Expand Using De Moivre's Theorem	4cos(x)^2	$4 \cos^{2} (x)$
22832	Expand Using De Moivre's Theorem	-3i+5j+2i+3j	$- 3 i + 5 j + 2 i + 3 j$
22833	Expand Using De Moivre's Theorem	cos(3a)	$\cos (3 a)$
22834	Expand Using De Moivre's Theorem	cos(4x)	$\cos (4 x)$
22835	Expand Using De Moivre's Theorem	cos(3x)	$\cos (3 x)$
22836	Expand Using De Moivre's Theorem	cos(75)	$\cos (75)$
22837	Expand Using De Moivre's Theorem	cos(-pi)+cot(-pi/2)-sin(-3/2*pi)+cot(-pi/4)	$\cos (- π) + \cot (- \frac{π}{2}) - \sin (- \frac{3}{2} \cdot π) + \cot (- \frac{π}{4})$
22838	Expand Using De Moivre's Theorem	cos(x)-sin(x)^2-1	$\cos (x) - \sin^{2} (x) - 1$
22839	Expand Using De Moivre's Theorem	cos(2a)	$\cos (2 a)$
22840	Expand Using De Moivre's Theorem	cos(25)cos(15)-sin(25)sin(15)	$\cos (25) \cdot \cos (15) - \sin (25) \cdot \sin (15)$
22841	Expand Using De Moivre's Theorem	cos(pi/12)cos(-pi/6)+sin(pi/12)sin(-pi/6)	$\cos (\frac{π}{12}) \cos (- \frac{π}{6}) + \sin (\frac{π}{12}) \sin (- \frac{π}{6})$
22842	Expand Using De Moivre's Theorem	8+8i	$8 + 8 i$
22843	Expand Using De Moivre's Theorem	45 degrees	$45 °$
22844	Expand Using De Moivre's Theorem	48sin(x)^2cos(x)^2	$48 \sin^{2} (x) \cos^{2} (x)$
22845	Expand Using De Moivre's Theorem	sin(x)cos(x)^3+sin(x)^3cos(x)	$\sin (x) \cos^{3} (x) + \sin^{3} (x) \cos (x)$
22846	Expand Using De Moivre's Theorem	sin((13pi)/28)cos((2pi)/7)+cos((13pi)/28)sin((2pi)/7)	$\sin (\frac{13 π}{28}) \cos (\frac{2 π}{7}) + \cos (\frac{13 π}{28}) \sin (\frac{2 π}{7})$
22847	Expand Using De Moivre's Theorem	sin(30)	$\sin (30)$
22848	Expand Using De Moivre's Theorem	sin(x/2)	$\sin (\frac{x}{2})$
22849	Expand Using De Moivre's Theorem	sin(arccos(u)+arcsin(v))	$\sin (\arccos (u) + \arcsin (v))$
22850	Expand Using De Moivre's Theorem	sin(pi/2-u)	$\sin (\frac{π}{2} - u)$
22851	Expand Using De Moivre's Theorem	sin(5x)	$\sin (5 x)$
22852	Expand Using De Moivre's Theorem	sin(4x)	$\sin (4 x)$
22853	Expand Using De Moivre's Theorem	sin(8x)-sin(2x)	$\sin (8 x) - \sin (2 x)$
22854	Find the Trig Value	tan(x) , cot(x)=1/2	$\tan (x)$ , $\cot (x) = \frac{1}{2}$
22855	Find the Trig Value	sin(x)=1/2 , cot(x)	$\sin (x) = \frac{1}{2}$ , $\cot (x)$
22856	Find the Trig Value	sin(x)=1/4 , sin(2x)	$\sin (x) = \frac{1}{4}$ , $\sin (2 x)$
22857	Find the Trig Value	sin(x)=2/7 , cos(x)	$\sin (x) = \frac{2}{7}$ , $\cos (x)$
22858	Expand Using De Moivre's Theorem	tan(5x)tan(3x)	$\tan (5 x) \tan (3 x)$
22859	Expand Using De Moivre's Theorem	tan(90-a)	$\tan (90 - a)$
22860	Expand Using De Moivre's Theorem	tan(arccos(u)-arcsin(v))	$\tan (\arccos (u) - \arcsin (v))$
22861	Expand Using De Moivre's Theorem	tan(x)cot(x)	$\tan (x) \cot (x)$
22862	Find the Trig Value	cos(2x)=3/5 , tan(x)	$\cos (2 x) = \frac{3}{5}$ , $\tan (x)$
22863	Convert to a Percentage	(2pi)/3	$\frac{2 π}{3}$
22864	Convert to a Percentage	e^4	$e^{4}$
22865	Convert to a Percentage	pi/12	$\frac{π}{12}$
22866	Factor over the Complex Numbers	((A^(9/4))÷(A^(3/4)))^-5	${(A^{\frac{9}{4}} \div A^{\frac{3}{4}})}^{- 5}$
22867	Convert to a Percentage	248	$248$
22868	Factor over the Complex Numbers	(4+2j)^4	${(4 + 2 j)}^{4}$
22869	Find the Average Rate of Change	cos(x)=20/29 , (3pi)/2<x<2pi	$\cos (x) = \frac{20}{29}$ , $\frac{3 π}{2} < x < 2 π$
22870	Solve for ?	2sin(theta)cos(theta)+cos(theta)=0	$2 \sin (θ) \cos (θ) + \cos (θ) = 0$
22871	Convert to a Percentage	pi/6	$\frac{π}{6}$
22872	Convert to a Percentage	(7pi)/4	$\frac{7 π}{4}$
22873	Find the Trig Value	sin(x)=8/9 , cos(2x)	$\sin (x) = \frac{8}{9}$ , $\cos (2 x)$
22874	Find the Trig Value	tan(x)=5/12 , cos(-270+x)	$\tan (x) = \frac{5}{12}$ , $\cos (- 270 + x)$
22875	Find the Trig Value	tan(x) , sec(x)=5/3	$\tan (x)$ , $\sec (x) = \frac{5}{3}$
22876	Convert to a Percentage	(19pi)/17	$\frac{19 π}{17}$
22877	Convert to a Percentage	(3pi)/2	$\frac{3 π}{2}$
22878	Factor over the Complex Numbers	(1/4*cos(pi/10)+isin(pi/10))^5	${(\frac{1}{4} \cdot \cos (\frac{π}{10}) + i \sin (\frac{π}{10}))}^{5}$
22879	Factor over the Complex Numbers	(4(cos(45))+isin(45))^3	${(4 (\cos (45)) + i \sin (45))}^{3}$
22880	Factor over the Complex Numbers	(1-(cos(x)-sin(x))(cos(x)-sin(x)))/(sin(x)cos(x))	$\frac{1 - (\cos (x) - \sin (x)) (\cos (x) - \sin (x))}{\sin (x) \cos (x)}$
22881	Factor over the Complex Numbers	(cos(x))/(1+sin(x))+(1+sin(x))/(cos(x))	$\frac{\cos (x)}{1 + \sin (x)} + \frac{1 + \sin (x)}{\cos (x)}$
22882	Factor over the Complex Numbers	sin(x)^4-cos(x)^4+cos(x)^2	$\sin^{4} (x) - \cos^{4} (x) + \cos^{2} (x)$
22883	Expand Using De Moivre's Theorem	sin(2u)	$\sin (2 u)$
22884	Factor over the Complex Numbers	sec(x)^2-tan(x)^2	$\sec^{2} (x) - \tan^{2} (x)$
22885	Factor over the Complex Numbers	(1+cot(x))/(csc(x))	$\frac{1 + \cot (x)}{\csc (x)}$
22886	Convert to a Percentage	278/435	$\frac{278}{435}$
22887	Solve Using the Square Root Property	x^2-8x-11=0	$x^{2} - 8 x - 11 = 0$
22888	Solve Using the Square Root Property	x^2-9x+20=0	$x^{2} - 9 x + 20 = 0$
22889	Solve Using the Square Root Property	-1x^2+11x-24=0	$- 1 x^{2} + 11 x - 24 = 0$
22890	Solve Using the Square Root Property	x^2-3x-6=0	$x^{2} - 3 x - 6 = 0$
22891	Solve Using the Square Root Property	x^2=11x-10	$x^{2} = 11 x - 10$
22892	Solve Using the Square Root Property	x^2-10x=-29	$x^{2} - 10 x = - 29$
22893	Solve Using the Square Root Property	x^2-10x+25=54	$x^{2} - 10 x + 25 = 54$
22894	Solve Using the Square Root Property	x^2-10+25=0	$x^{2} - 10 + 25 = 0$
22895	Solve Using the Square Root Property	x^2-15x+56.25=0	$x^{2} - 15 x + 56.25 = 0$
22896	Solve Using the Square Root Property	x^2-15x+56.50=0	$x^{2} - 15 x + 56.5 = 0$
22897	Solve Using the Square Root Property	5^2+4^2=x^2	$5^{2} + 4^{2} = x^{2}$
22898	Solve Using the Square Root Property	(x-17)^2=12	${(x - 17)}^{2} = 12$
22899	Solve Using the Square Root Property	x^2+24*24=25x^2	$x^{2} + 24 \cdot 24 = 25 x^{2}$
22900	Solve Using the Square Root Property	x^2+24x+144=0	$x^{2} + 24 x + 144 = 0$