Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
10201	Find the Reference Angle	-40 degrees	$- 40 °$
10202	Simplify	sin(20)cos(80)-cos(20)sin(80)	$\sin (20) \cos (80) - \cos (20) \sin (80)$
10203	Simplify	sin(180)+cos(180)	$\sin (180) + \cos (180)$
10204	Simplify	sin(2x+pi/3)	$\sin (2 x + \frac{π}{3})$
10205	Simplify	-1+sin(30)^2+sin(60)^2	$- 1 + \sin^{2} (30) + \sin^{2} (60)$
10206	Simplify	14sin(x)^4	$14 \sin^{4} (x)$
10207	Simplify	153 degrees	$153 °$
10208	Simplify	15sin(x)^4	$15 \sin^{4} (x)$
10209	Simplify	13*sin(58)	$13 \cdot \sin (58)$
10210	Simplify	1-2cos(x)	$1 - 2 \cos (x)$
10211	Simplify	13sin(x)^4	$13 \sin^{4} (x)$
10212	Simplify	13cos(x)^2+cos(x)-14	$13 \cos^{2} (x) + \cos (x) - 14$
10213	Simplify	1-2cos(x)+cos(x)^2	$1 - 2 \cos (x) + \cos^{2} (x)$
10214	Simplify	1-2sin(x)^2	$1 - 2 \sin^{2} (x)$
10215	Simplify	100*tan(60)	$100 \cdot \tan (60)$
10216	Simplify	1-2sin(pi/5)^2	$1 - 2 \sin^{2} (\frac{π}{5})$
10217	Simplify	1+tan(u)^2	$1 + \tan^{2} (u)$
10218	Simplify	110 degrees	$110 °$
10219	Simplify	2cos(x)+3cos(-x)	$2 \cos (x) + 3 \cos (- x)$
10220	Simplify	2cos(pi/3)-3tan(pi/6)	$2 \cos (\frac{π}{3}) - 3 \tan (\frac{π}{6})$
10221	Simplify	2cos(pi/6)-cos(2*pi/6)	$2 \cos (\frac{π}{6}) - \cos (2 \cdot \frac{π}{6})$
10222	Simplify	2cos(3x)	$2 \cos (3 x)$
10223	Simplify	2cot(x)+(cos(x))/(sin(x))	$2 \cot (x) + \frac{\cos (x)}{\sin (x)}$
10224	Simplify	2csc(x)	$2 \csc (x)$
10225	Simplify	2sec(pi/4)+4cot(pi/3)	$2 \sec (\frac{π}{4}) + 4 \cot (\frac{π}{3})$
10226	Simplify	2sin(15)cos(15)	$2 \sin (15) \cos (15)$
10227	Simplify	2sin(x/5)cos(x/5)	$2 \sin (\frac{x}{5}) \cos (\frac{x}{5})$
10228	Simplify	210 degrees	$210 °$
10229	Simplify	2cos(x)^2+cos(x)	$2 \cos^{2} (x) + \cos (x)$
10230	Simplify	2cos(20)^2-1	$2 \cos^{2} (20) - 1$
10231	Simplify	2cos((7pi)/12)^2-1	$2 \cos^{2} (\frac{7 π}{12}) - 1$
10232	Simplify	2cos(pi/6)^2-1	$2 \cos^{2} (\frac{π}{6}) - 1$
10233	Simplify	2sin(x)^2	$2 \sin^{2} (x)$
10234	Simplify	2sin(x)^2cos(x)^2	$2 \sin^{2} (x) \cos^{2} (x)$
10235	Simplify	2sin(x/2)^2-1	$2 \sin^{2} (\frac{x}{2}) - 1$
10236	Simplify	2n^(1/3)(3n^(1/3)-4n^(4/3))	$2 n^{\frac{1}{3}} (3 n^{\frac{1}{3}} - 4 n^{\frac{4}{3}})$
10237	Simplify	75*pi/180	$75 \cdot \frac{π}{180}$
10238	Simplify	8*sin(40)	$8 \cdot \sin (40)$
10239	Simplify	8sin(x)^4	$8 \sin^{4} (x)$
10240	Simplify	6p	$6 p$
10241	Simplify	6cos(45)-5sin(45)	$6 \cos (45) - 5 \sin (45)$
10242	Simplify	6cos(pi/3)-3tan(pi/3)	$6 \cos (\frac{π}{3}) - 3 \tan (\frac{π}{3})$
10243	Simplify	6x(3x+1)^3-(3x+1)^4	$6 x {(3 x + 1)}^{3} - {(3 x + 1)}^{4}$
10244	Simplify	60 degrees	$60 °$
10245	Simplify	6cos(x)^2-3	$6 \cos^{2} (x) - 3$
10246	Simplify	6sin(x)^2-7+5cos(x)	$6 \sin^{2} (x) - 7 + 5 \cos (x)$
10247	Simplify	5-cos(60)^2-cos(45)^2	$5 - \cos^{2} (60) - \cos^{2} (45)$
10248	Simplify	5 degrees	$5 °$
10249	Simplify	4i(2-i)	$4 i (2 - i)$
10250	Simplify	5(sin(2x)-cos(2x))	$5 (\sin (2 x) - \cos (2 x))$
10251	Simplify	54^(3n)4-20*8^n	$5 \cdot 4^{3 n} \cdot 4 - 20 \cdot 8^{n}$
10252	Simplify	2sin(x)+2cos(x)	$2 \sin (x) + 2 \cos (x)$
10253	Simplify	2sin(x)*cos(x)	$2 \sin (x) \cdot \cos (x)$
10254	Simplify	2sin(25)cos(25)	$2 \sin (25) \cos (25)$
10255	Simplify	2sin(x)cos(x)-cos(x)	$2 \sin (x) \cos (x) - \cos (x)$
10256	Simplify	3(sec(x)+tan(x))(sec(x)-tan(x))	$3 (\sec (x) + \tan (x)) (\sec (x) - \tan (x))$
10257	Simplify	3*sin(30)	$3 \cdot \sin (30)$
10258	Simplify	330 degrees	$330 °$
10259	Simplify	3p	$3 p$
10260	Simplify	3sec(180)-5tan(360)	$3 \sec (180) - 5 \tan (360)$
10261	Simplify	3cos(x)	$3 \cos (x)$
10262	Simplify	3-cos(x)	$3 - \cos (x)$
10263	Simplify	3cos(x-pi/2)	$3 \cos (x - \frac{π}{2})$
10264	Simplify	-400 degrees	$- 400 °$
10265	Simplify	4sin(x)^2-3	$4 \sin^{2} (x) - 3$
10266	Simplify	4(3j+2)^2	$4 {(3 j + 2)}^{2}$
10267	Simplify	4(sin(u)^6+cos(u)^6)-3(cos(u)^2-sin(u)^2)^2	$4 (\sin^{6} (u) + \cos^{6} (u)) - 3 {(\cos^{2} (u) - \sin^{2} (u))}^{2}$
10268	Simplify	(1-4/x)/(1-2/x-8/(x^2))	$\frac{1 - \frac{4}{x}}{1 - \frac{2}{x} - \frac{8}{x^{2}}}$
10269	Simplify	1/(7- square root of 11)	$\frac{1}{7 - \sqrt{11}}$
10270	Simplify	(-10x^4+12x^3-28x^2+7x+13)/(-2x)	$\frac{- 10 x^{4} + 12 x^{3} - 28 x^{2} + 7 x + 13}{- 2 x}$
10271	Simplify	(x/4-1/x)/(1/(2x)+1/4)	$\frac{\frac{x}{4} - \frac{1}{x}}{\frac{1}{2 x} + \frac{1}{4}}$
10272	Simplify	(12v^2-12v)/(30v^2-24v)	$\frac{12 v^{2} - 12 v}{30 v^{2} - 24 v}$
10273	Simplify	(12x^14y^9-15x^8y^12)/(3x^2y^3)	$\frac{12 x^{14} y^{9} - 15 x^{8} y^{12}}{3 x^{2} y^{3}}$
10274	Simplify	(2pi)/(2pi)	$\frac{2 π}{2 π}$
10275	Simplify	(2x+5)/(x^2+7x+12)	$\frac{2 x + 5}{x^{2} + 7 x + 12}$
10276	Simplify	(- square root of 3-i)^4	${(- \sqrt{3} - i)}^{4}$
10277	Simplify	( square root of 3-i)^4	${(\sqrt{3} - i)}^{4}$
10278	Simplify	((2pi)/3)/4	$\frac{\frac{2 π}{3}}{4}$
10279	Simplify	(b^2-1)/(b-1)	$\frac{b^{2} - 1}{b - 1}$
10280	Simplify	((x^2-25)/14)/((x-5)/28)	$\frac{\frac{x^{2} - 25}{14}}{\frac{x - 5}{28}}$
10281	Simplify	(-3+3i square root of 3)^5	${(- 3 + 3 i \sqrt{3})}^{5}$
10282	Simplify	((x+5)(x-2)(x+2)(3-x))/((2-x)(5-x)(3+x)(2+x))	$\frac{(x + 5) (x - 2) (x + 2) (3 - x)}{(2 - x) (5 - x) (3 + x) (2 + x)}$
10283	Multiply	(-5x^5y^2)^2(3x^2y^3)^3	${(- 5 x^{5} y^{2})}^{2} {(3 x^{2} y^{3})}^{3}$
10284	Solve for y	arcsin( square root of 1-2/(y+1))=x	$\arcsin (\sqrt{1 - \frac{2}{y + 1}}) = x$
10285	Solve for x	sin(2x)=cos(x)	$\sin (2 x) = \cos (x)$
10286	Solve for x	sin(x)=6/19	$\sin (x) = \frac{6}{19}$
10287	Simplify	sin(arctan(x/4))	$\sin (\arctan (\frac{x}{4}))$
10288	Simplify	sin(arctan(x/6))	$\sin (\arctan (\frac{x}{6}))$
10289	Simplify	sin(arccot(4x))	$\sin (arccot (4 x))$
10290	Simplify	sin(arccot(x))	$\sin (arccot (x))$
10291	Simplify	sin(pi+x)+sin(pi-x)	$\sin (π + x) + \sin (π - x)$
10292	Simplify	sin(P)	$\sin (P)$
10293	Simplify	sin(95)	$\sin (95)$
10294	Simplify	sin(x)*(sin(x)cos(x))	$\sin (x) \cdot (\sin (x) \cos (x))$
10295	Simplify	sin(x)*tan(x)+cos(x)	$\sin (x) \cdot \tan (x) + \cos (x)$
10296	Simplify	sin(t)+cot(t)cos(t)	$\sin (t) + \cot (t) \cos (t)$
10297	Simplify	sin(theta)	$\sin (t h e t a)$
10298	Simplify	sin(-x)cos(-x)csc(-x)	$\sin (- x) \cos (- x) \csc (- x)$
10299	Simplify	sin(x)cos(x)tan(x)cot(x)sec(x)csc(x)	$\sin (x) \cos (x) \tan (x) \cot (x) \sec (x) \csc (x)$
10300	Simplify	sin(x)cos(2x)+sin(2x)cos(x)	$\sin (x) \cos (2 x) + \sin (2 x) \cos (x)$