Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21201	Factor by Grouping	cos((3pi)/2-x)	$\cos (\frac{3 π}{2} - x)$
21202	Factor by Grouping	8x^2-10x+3	$8 x^{2} - 10 x + 3$
21203	Factor by Grouping	cos((5pi)/3)	$\cos (\frac{5 π}{3})$
21204	Factor by Grouping	cos(arctan(x))	$\cos (\arctan (x))$
21205	Factor by Grouping	cos((3pi)/8)	$\cos (\frac{3 π}{8})$
21206	Factor by Grouping	cos(25)cos(15)-sin(25)sin(15)	$\cos (25) \cos (15) - \sin (25) \sin (15)$
21207	Factor by Grouping	cos((5pi)/12)	$\cos (\frac{5 π}{12})$
21208	Factor by Grouping	cos(2x)+cos(4x)	$\cos (2 x) + \cos (4 x)$
21209	Factor by Grouping	cos(48)	$\cos (48)$
21210	Factor by Grouping	x^2-2x	$x^{2} - 2 x$
21211	Factor by Grouping	x^2-4x+5	$x^{2} - 4 x + 5$
21212	Factor by Grouping	x^2-6x-27	$x^{2} - 6 x - 27$
21213	Factor by Grouping	x^3-7x^2-11x+77	$x^{3} - 7 x^{2} - 11 x + 77$
21214	Factor by Grouping	x^5-4x^4-3x^3+22x^2-4x-24	$x^{5} - 4 x^{4} - 3 x^{3} + 22 x^{2} - 4 x - 24$
21215	Factor by Grouping	(sin(x))/(1+cos(x))+(1+cos(x))/(sin(x))	$\frac{\sin (x)}{1 + \cos (x)} + \frac{1 + \cos (x)}{\sin (x)}$
21216	Factor by Grouping	csc(x)^2-cot(x)-3	$\csc^{2} (x) - \cot (x) - 3$
21217	Factor by Grouping	(sin(x))/(csc(x))+(cos(x))/(sec(x))	$\frac{\sin (x)}{\csc (x)} + \frac{\cos (x)}{\sec (x)}$
21218	Factor by Grouping	(sec(x)-cos(x))/(sin(x))	$\frac{\sec (x) - \cos (x)}{\sin (x)}$
21219	Factor by Grouping	csc(x)^4-cot(x)^4	$\csc^{4} (x) - \cot^{4} (x)$
21220	Factor by Grouping	cos(15)^2*cos(75)^2	$\cos^{2} (15) \cdot \cos^{2} (75)$
21221	Factor by Grouping	(1+cos(2x))/(sin(2x))	$\frac{1 + \cos (2 x)}{\sin (2 x)}$
21222	Factor by Grouping	(cos(x))/(1-sin(x))	$\frac{\cos (x)}{1 - \sin (x)}$
21223	Factor by Grouping	(cos(x)sin(2x))/(1+cos(2x))	$\frac{\cos (x) \sin (2 x)}{1 + \cos (2 x)}$
21224	Factor by Grouping	1/2-2i-2j	$\frac{1}{2} - 2 i - 2 j$
21225	Factor	tan(x+pi/2)	$\tan (x + \frac{π}{2})$
21226	Factor	wv+3w-5u-15	$w v + 3 w - 5 u - 15$
21227	Factor	tan(arcsin(x)+arccos(y))	$\tan (\arcsin (x) + \arccos (y))$
21228	Factor	(tan(x)*7)/50	$\frac{\tan (x) \cdot 7}{50}$
21229	Factor	tan(2pi-x)	$\tan (2 π - x)$
21230	Factor	tan(2x)	$\tan (2 x)$
21231	Factor	tan(112.5)	$\tan (112.5)$
21232	Factor	tan(arccos(8x))	$\tan (\arccos (8 x))$
21233	Factor	xy-x+4y-4	$x y - x + 4 y - 4$
21234	Factor by Grouping	(cos(x)+1)(3cos(x)-1)	$(\cos (x) + 1) (3 \cos (x) - 1)$
21235	Factor	x-2x	$x - 2 x$
21236	Factor by Grouping	(2-2i)^5	${(2 - 2 i)}^{5}$
21237	Find the Sine Given the Point	(-3, square root of 3)	$(- 3, \sqrt{3})$
21238	Combine	(sin(x)-cos(x))^2+(sin(x)+cos(x))^2	${(\sin (x) - \cos (x))}^{2} + {(\sin (x) + \cos (x))}^{2}$
21239	Evaluate Using the Given Value	f(2)=x^2+4x-5	$f (2) = x^{2} + 4 x - 5$
21240	Evaluate Using the Given Value	tan(-x)=1/4 , sec(x)	$\tan (- x) = \frac{1}{4}$ , $\sec (x)$
21241	Evaluate Using the Given Value	v=-2i-2j , 1/2v	$v = - 2 i - 2 j$ , $\frac{1}{2} v$
21242	Expand Using De Moivre's Theorem	cot(theta)	$\cot (θ)$
21243	Factor by Grouping	sin(x)cos(x)	$\sin (x) \cos (x)$
21244	Factor by Grouping	tan(pi/4)+csc(pi/6)	$\tan (\frac{π}{4}) + \csc (\frac{π}{6})$
21245	Factor by Grouping	vx-7v-4w+28	$v x - 7 v - 4 w + 28$
21246	Evaluate Using the Given Value	x=225 , sin(x)	$x = 225$ , $\sin (x)$
21247	Evaluate Using the Given Value	square root of 25-x^2 , x=5sin(x)	$\sqrt{25 - x^{2}}$ , $x = 5 \sin (x)$
21248	Evaluate Using the Given Value	c=1/2*((s+k)m) , form	$c = \frac{1}{2} \cdot ((s + k) m)$ , form
21249	Factor by Grouping	y^3-3y^2+4y-12	$y^{3} - 3 y^{2} + 4 y - 12$
21250	Evaluate Using the Given Value	f(pi/3)=2sin(x)+cos(3x)	$f (\frac{π}{3}) = 2 \sin (x) + \cos (3 x)$
21251	Combine	1+sin(40)^2+sin(50)^2	$1 + \sin^{2} (40) + \sin^{2} (50)$
21252	Combine	cot(45)^2-cos(60)+3tan(45)	$\cot^{2} (45) - \cos (60) + 3 \tan (45)$
21253	Combine	(cos(x))/(sin(x))+1/(cos(x))	$\frac{\cos (x)}{\sin (x)} + \frac{1}{\cos (x)}$
21254	Combine	(cos(x))/(sin(x))+(sin(x))/(cos(x))	$\frac{\cos (x)}{\sin (x)} + \frac{\sin (x)}{\cos (x)}$
21255	Combine	cos(pi/7)^2-sin(pi/7)^2	$\cos^{2} (\frac{π}{7}) - \sin^{2} (\frac{π}{7})$
21256	Combine	cos(5x)^2+sin(2x)^2	$\cos^{2} (5 x) + \sin^{2} (2 x)$
21257	Combine	3sin(x)+4cos(x)	$3 \sin (x) + 4 \cos (x)$
21258	Combine	1-2sin(15)^2	$1 - 2 \sin^{2} (15)$
21259	Combine	15-20i	$15 - 20 i$
21260	Combine	1-cos(x)	$1 - \cos (x)$
21261	Combine	cos(40)cos(50)-sin(40)sin(50)	$\cos (40) \cos (50) - \sin (40) \sin (50)$
21262	Combine	cos(-x)-cos(x)	$\cos (- x) - \cos (x)$
21263	Combine	cos(5x)-cos(3x)	$\cos (5 x) - \cos (3 x)$
21264	Combine	cos(5x)+cos(8x)	$\cos (5 x) + \cos (8 x)$
21265	Combine	cos(60)cos(15)+sin(60)sin(15)	$\cos (60) \cos (15) + \sin (60) \sin (15)$
21266	Combine	cos(8x)+cos(4x)	$\cos (8 x) + \cos (4 x)$
21267	Combine	cos(pi/4)+cos(pi/6)	$\cos (\frac{π}{4}) + \cos (\frac{π}{6})$
21268	Combine	cos(27)cos(65)+sin(27)+sin(65)	$\cos (27) \cos (65) + \sin (27) + \sin (65)$
21269	Combine	5sin(x)+12cos(x)	$5 \sin (x) + 12 \cos (x)$
21270	Combine	cos((11pi)/12)cos((7pi)/12)+sin((11pi)/12)sin((7pi)/12)	$\cos (\frac{11 π}{12}) \cos (\frac{7 π}{12}) + \sin (\frac{11 π}{12}) \sin (\frac{7 π}{12})$
21271	Combine	cos((5pi)/12)cos(pi/4)+sin((5pi)/12)sin(pi/4)	$\cos (\frac{5 π}{12}) \cos (\frac{π}{4}) + \sin (\frac{5 π}{12}) \sin (\frac{π}{4})$
21272	Combine	sin((7pi)/12)cos(pi/12)-cos((7pi)/12)sin(pi/12)	$\sin (\frac{7 π}{12}) \cos (\frac{π}{12}) - \cos (\frac{7 π}{12}) \sin (\frac{π}{12})$
21273	Combine	sin((37pi)/42)cos((5pi)/7)-cos((37pi)/42)sin((5pi)/7)	$\sin (\frac{37 π}{42}) \cos (\frac{5 π}{7}) - \cos (\frac{37 π}{42}) \sin (\frac{5 π}{7})$
21274	Combine	sin(120)+sin(60)	$\sin (120) + \sin (60)$
21275	Combine	sin(pi/18)cos((4pi)/18)+cos(pi/18)sin((4pi)/18)	$\sin (\frac{π}{18}) \cos (\frac{4 π}{18}) + \cos (\frac{π}{18}) \sin (\frac{4 π}{18})$
21276	Combine	sin(pi/12)cos((2pi)/3)+cos(pi/12)sin(2/3)	$\sin (\frac{π}{12}) \cdot \cos (\frac{2 π}{3}) + \cos (\frac{π}{12}) \cdot \sin (\frac{2}{3})$
21277	Combine	sin(pi/12)cos((2pi)/3)+cos(pi/12)sin((2pi)/3)	$\sin (\frac{π}{12}) \cos (\frac{2 π}{3}) + \cos (\frac{π}{12}) \sin (\frac{2 π}{3})$
21278	Combine	sin(2x)+sin(4x)	$\sin (2 x) + \sin (4 x)$
21279	Combine	sin(20)cos(10)+cos(20)sin(10)	$\sin (20) \cos (10) + \cos (20) \sin (10)$
21280	Combine	sin(x)+cos(x)cot(x)	$\sin (x) + \cos (x) \cot (x)$
21281	Combine	sin(25)cos(35)+cos(25)sin(35)	$\sin (25) \cos (35) + \cos (25) \sin (35)$
21282	Combine	-sin(2x)+sin(x)	$- \sin (2 x) + \sin (x)$
21283	Combine	sin(50)cos(40)+cos(50)sin(40)	$\sin (50) \cos (40) + \cos (50) \sin (40)$
21284	Combine	sec(x)cot(x)-sin(x)	$\sec (x) \cot (x) - \sin (x)$
21285	Combine	sec(pi/4)+2csc(pi/3)	$\sec (\frac{π}{4}) + 2 \csc (\frac{π}{3})$
21286	Combine	csc(60)sec(30)+cot(45)	$\csc (60) \sec (30) + \cot (45)$
21287	Combine	cot(20)-(cos(20))/(sin(-340))	$\cot (20) - \frac{\cos (20)}{\sin (- 340)}$
21288	Combine	cot((43pi)/6)+sin((28pi)/3)	$\cot (\frac{43 π}{6}) + \sin (\frac{28 π}{3})$
21289	Combine	cos(x)+sin(x)	$\cos (x) + \sin (x)$
21290	Combine	cos(4x)-cos(2x)	$\cos (4 x) - \cos (2 x)$
21291	Combine	cos(pi/12)cos(-pi/6)+sin(pi/12)sin(-pi/6)	$\cos (\frac{π}{12}) \cos (- \frac{π}{6}) + \sin (\frac{π}{12}) \sin (- \frac{π}{6})$
21292	Convert to Interval Notation	csc(x)>0	$\csc (x) > 0$
21293	Convert to Interval Notation	sin(x)=-( square root of 3)/2*pi<x<(3pi)/2	$\sin (x) = - \frac{\sqrt{3}}{2} \cdot π < x < \frac{3 π}{2}$
21294	Convert to Interval Notation	90<x<180	$90 < x < 180$
21295	Convert to Interval Notation	5-6y>-25	$5 - 6 y > - 25$
21296	Convert to Interval Notation	3y+3>2/9y-5	$3 y + 3 > \frac{2}{9} y - 5$
21297	Convert to Interval Notation	11<=5x-4<=31	$11 \leq 5 x - 4 \leq 31$
21298	Convert to Interval Notation	-3<(3x-6)/5<0	$- 3 < \frac{3 x - 6}{5} < 0$
21299	Convert to Interval Notation	12-sin(x)=cos(2x)x=x=2pi	$12 - \sin (x) = \cos (2 x) x = x = 2 π$
21300	Convert to Interval Notation	-2x^2+3x+5>0	$- 2 x^{2} + 3 x + 5 > 0$