Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
18101	Find the Value Using the Unit Circle	cos((2pi)/9)	$\cos (\frac{2 π}{9})$
18102	Find the Value Using the Unit Circle	cos((5pi)/2)	$\cos (\frac{5 π}{2})$
18103	Find the Value Using the Unit Circle	cos(-(3pi)/8)	$\cos (- \frac{3 π}{8})$
18104	Find the Value Using the Unit Circle	cos(5/13)	$\cos (\frac{5}{13})$
18105	Find the Value Using the Unit Circle	cos(5/6)	$\cos (\frac{5}{6})$
18106	Find the Value Using the Unit Circle	cos((8pi)/3)	$\cos (\frac{8 π}{3})$
18107	Find the Value Using the Unit Circle	cos((9pi)/4+(5pi)/6)	$\cos (\frac{9 π}{4} + \frac{5 π}{6})$
18108	Find the Value Using the Unit Circle	cos(pi/7)	$\cos (\frac{π}{7})$
18109	Find the Value Using the Unit Circle	cos(pi/8)	$\cos (\frac{π}{8})$
18110	Find the Value Using the Unit Circle	sec(60)	$\sec (60)$
18111	Find the Value Using the Unit Circle	cos(pi/24)	$\cos (\frac{π}{24})$
18112	Find the Value Using the Unit Circle	sin(315 degrees )	$\sin (315 °)$
18113	Find the Value Using the Unit Circle	cos(pi/4+pi/6)	$\cos (\frac{π}{4} + \frac{π}{6})$
18114	Find the Value Using the Unit Circle	cos(10)	$\cos (10)$
18115	Find the Value Using the Unit Circle	cos(112.5)	$\cos (112.5)$
18116	Find the Value Using the Unit Circle	cos(120 degrees )	$\cos (120 °)$
18117	Find the Value Using the Unit Circle	tan(135 degrees )	$\tan (135 °)$
18118	Find the Value Using the Unit Circle	cos(110)	$\cos (110)$
18119	Find the Value Using the Unit Circle	sin(135 degrees )	$\sin (135 °)$
18120	Find the Value Using the Unit Circle	cos(2)	$\cos (2)$
18121	Find the Value Using the Unit Circle	sin(330 degrees )	$\sin (330 °)$
18122	Find the Value Using the Unit Circle	sin(240 degrees )	$\sin (240 °)$
18123	Expand the Trigonometric Expression	tan(x+y)-tan(x)	$\tan (x + y) - \tan (x)$
18124	Expand the Trigonometric Expression	tan(u+v)	$\tan (u + v)$
18125	Expand the Trigonometric Expression	tan(x)-sec(x)	$\tan (x) - \sec (x)$
18126	Expand the Trigonometric Expression	tan(x)sin(x)	$\tan (x) \sin (x)$
18127	Expand the Trigonometric Expression	tan(x)tan(x/2)	$\tan (x) \tan (\frac{x}{2})$
18128	Expand the Trigonometric Expression	tan(x+pi/2)	$\tan (x + \frac{π}{2})$
18129	Expand the Trigonometric Expression	tan(4x)	$\tan (4 x)$
18130	Expand the Trigonometric Expression	tan(pi+x)	$\tan (π + x)$
18131	Expand the Trigonometric Expression	tan(3a)	$\tan (3 a)$
18132	Expand the Trigonometric Expression	tan(a)+cot(a)	$\tan (a) + \cot (a)$
18133	Expand the Trigonometric Expression	tan(A)+tan(B)	$\tan (A) + \tan (B)$
18134	Find the Value Using the Unit Circle	arccos(-1)	$\arccos (- 1)$
18135	Find the Value Using the Unit Circle	arccos(2/11)	$\arccos (\frac{2}{11})$
18136	Find the Value Using the Unit Circle	(cos(10))/(sin(80))	$\frac{\cos (10)}{\sin (80)}$
18137	Find the Value Using the Unit Circle	arccos(-0.5)	$\arccos (- 0.5)$
18138	Find the Value Using the Unit Circle	arcsin(3/5)	$\arcsin (\frac{3}{5})$
18139	Find the Value Using the Unit Circle	arcsin(53/63)	$\arcsin (\frac{53}{63})$
18140	Find the Value Using the Unit Circle	arcsin(0.18)	$\arcsin (0.18)$
18141	Find the Value Using the Unit Circle	arcsin(2/3)	$\arcsin (\frac{2}{3})$
18142	Find the Value Using the Unit Circle	arcsin(11/18)	$\arcsin (\frac{11}{18})$
18143	Find the Value Using the Unit Circle	arcsin(0.8)	$\arcsin (0.8)$
18144	Find the Value Using the Unit Circle	(sin(pi/3)-sin(pi/6))/(pi/3-pi/6)	$\frac{\sin (\frac{π}{3}) - \sin (\frac{π}{6})}{\frac{π}{3} - \frac{π}{6}}$
18145	Expand the Trigonometric Expression	tan(x-pi/4)	$\tan (x - \frac{π}{4})$
18146	Find the Value Using the Unit Circle	cot(270)^2	$\cot^{2} (270)$
18147	Find the Value Using the Unit Circle	arccot(-6)	$arccot (- 6)$
18148	Find the Value Using the Unit Circle	(sin(15/17))/(cos(8/17))	$\frac{\sin (\frac{15}{17})}{\cos (\frac{8}{17})}$
18149	Find the Value Using the Unit Circle	arccos(5/13)	$\arccos (\frac{5}{13})$
18150	Find the Value Using the Unit Circle	arccsc(-2)	$arccsc (- 2)$
18151	Find the Value Using the Unit Circle	arcsin(sin((7pi)/10))	$\arcsin (\sin (\frac{7 π}{10}))$
18152	Find the Value Using the Unit Circle	arcsin(0.8480)	$\arcsin (0.848)$
18153	Find the Value Using the Unit Circle	arcsin(0.7)	$\arcsin (0.7)$
18154	Find the Value Using the Unit Circle	arcsin(2)	$\arcsin (2)$
18155	Find the Value Using the Unit Circle	arctan(-0.09)	$\arctan (- 0.09)$
18156	Find the Value Using the Unit Circle	(tan(10)+tan(20))/(1-tan(10)tan(20))	$\frac{\tan (10) + \tan (20)}{1 - \tan (10) \tan (20)}$
18157	Find the Value Using the Unit Circle	arctan(-3/4)	$\arctan (- \frac{3}{4})$
18158	Expand the Trigonometric Expression	1-1/(cos(x)^2)	$1 - \frac{1}{\cos^{2} (x)}$
18159	Expand the Trigonometric Expression	x^(1/5)	$x^{\frac{1}{5}}$
18160	Expand the Trigonometric Expression	x^3-27	$x^{3} - 27$
18161	Expand the Trigonometric Expression	12sin(x)^4	$12 \sin^{4} (x)$
18162	Expand the Trigonometric Expression	11sin(x)^4	$11 \sin^{4} (x)$
18163	Expand the Trigonometric Expression	1+cos(12x)	$1 + \cos (12 x)$
18164	Expand the Trigonometric Expression	1-2sin(2x)^2	$1 - 2 \sin^{2} (2 x)$
18165	Expand the Trigonometric Expression	150 degrees	$150 °$
18166	Expand the Trigonometric Expression	sin(2x)^4	$\sin^{4} (2 x)$
18167	Expand the Trigonometric Expression	sin(x/2)^2	$\sin^{2} (\frac{x}{2})$
18168	Expand the Trigonometric Expression	tan(x)^2-sin(x)^2	$\tan^{2} (x) - \sin^{2} (x)$
18169	Expand the Trigonometric Expression	(tan(A)+tan(B))/(tan(A+B))+(tan(A)-tan(B))/(tan(A-B))	$\frac{\tan (A) + \tan (B)}{\tan (A + B)} + \frac{\tan (A) - \tan (B)}{\tan (A - B)}$
18170	Expand the Trigonometric Expression	sin(2a)^2+cos(a)^2	$\sin^{2} (2 a) + \cos^{2} (a)$
18171	Expand the Trigonometric Expression	sin(2x)^2	$\sin^{2} (2 x)$
18172	Expand the Trigonometric Expression	(sin(3A))/(sin(2A))	$\frac{\sin (3 A)}{\sin (2 A)}$
18173	Expand the Trigonometric Expression	(sin(pi/3)-cos(pi/6))/(cos(pi/6)+cos(pi/3))	$\frac{\sin (\frac{π}{3}) - \cos (\frac{π}{6})}{\cos (\frac{π}{6}) + \cos (\frac{π}{3})}$
18174	Expand the Trigonometric Expression	(sin(16x)-sin(x))/(cos(x)+cos(16x))	$\frac{\sin (16 x) - \sin (x)}{\cos (x) + \cos (16 x)}$
18175	Expand the Trigonometric Expression	(sin(72))/30	$\frac{\sin (72)}{30}$
18176	Expand the Trigonometric Expression	(3pi)/5	$\frac{3 π}{5}$
18177	Expand the Trigonometric Expression	(1-cos(2x))/(1+cos(2x))	$\frac{1 - \cos (2 x)}{1 + \cos (2 x)}$
18178	Expand the Trigonometric Expression	(1-cos(x))/(sin(x)^2)	$\frac{1 - \cos (x)}{\sin^{2} (x)}$
18179	Expand the Trigonometric Expression	1/(sin(x))	$\frac{1}{\sin (x)}$
18180	Expand the Trigonometric Expression	(1+csc(4x))/(csc(4x)+cot(4x))	$\frac{1 + \csc (4 x)}{\csc (4 x) + \cot (4 x)}$
18181	Expand the Trigonometric Expression	(1+sin(2x)+cos(2x))/(1+sin(2x)-cos(2x))	$\frac{1 + \sin (2 x) + \cos (2 x)}{1 + \sin (2 x) - \cos (2 x)}$
18182	Expand the Trigonometric Expression	(1+tan(x))/(1+cot(x))	$\frac{1 + \tan (x)}{1 + \cot (x)}$
18183	Expand the Trigonometric Expression	(6pi)/11	$\frac{6 π}{11}$
18184	Expand the Trigonometric Expression	(cos(45))/(sec(30)+csc(60))	$\frac{\cos (45)}{\sec (30) + \csc (60)}$
18185	Expand the Trigonometric Expression	(cos(2x))/(cos(x))	$\frac{\cos (2 x)}{\cos (x)}$
18186	Expand the Trigonometric Expression	(cos(2x))/(sin(x))	$\frac{\cos (2 x)}{\sin (x)}$
18187	Expand the Trigonometric Expression	(cos(a-b))/(cos(a)cos(b))	$\frac{\cos (a - b)}{\cos (a) \cos (b)}$
18188	Expand the Trigonometric Expression	3/20x^4+1/10-3/10x-1/5-13/20x+9x^3	$\frac{3}{20} x^{4} + \frac{1}{10} - \frac{3}{10} x - \frac{1}{5} - \frac{13}{20} x + 9 x^{3}$
18189	Expand the Trigonometric Expression	(2pi)/4	$\frac{2 π}{4}$
18190	Expand the Trigonometric Expression	(4cos(x)-4cos(x)^3)/(sin(2x))	$\frac{4 \cos (x) - 4 \cos^{3} (x)}{\sin (2 x)}$
18191	Expand the Trigonometric Expression	(4pi)/15	$\frac{4 π}{15}$
18192	Expand the Trigonometric Expression	(4pi)/3	$\frac{4 π}{3}$
18193	Expand the Trigonometric Expression	e/x	$\frac{e}{x}$
18194	Expand the Trigonometric Expression	i^(1/4)	$i^{\frac{1}{4}}$
18195	Expand the Trigonometric Expression	sec(x-1)^2	$\sec^{2} (x - 1)$
18196	Expand the Trigonometric Expression	(sec(x))/(tan(x))+(cot(x))/(cos(x))	$\frac{\sec (x)}{\tan (x)} + \frac{\cot (x)}{\cos (x)}$
18197	Expand the Trigonometric Expression	cos(x)^2-cos(2x)	$\cos^{2} (x) - \cos (2 x)$
18198	Expand the Trigonometric Expression	cos(112.5)^2-sin(112.5)^2	$\cos^{2} (112.5) - \sin^{2} (112.5)$
18199	Expand the Trigonometric Expression	cos(3x)^2-sin(3x)^2	$\cos^{2} (3 x) - \sin^{2} (3 x)$
18200	Expand the Trigonometric Expression	(cos(x+h)-cos(x))/h	$\frac{\cos (x + h) - \cos (x)}{h}$