Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
10401	Solve for x	16x+3=9x+2	$16 x + 3 = 9 x + 2$
10402	Solve for x	25 = square root of x^2+(24)^2	$25 = \sqrt{x^{2} + {(24)}^{2}}$
10403	Solve for x	2sin(x)^2-6cos(x)+1=0	$2 \sin^{2} (x) - 6 \cos (x) + 1 = 0$
10404	Solve for x	2x = square root of 3+11x	$2 x = \sqrt{3 + 11 x}$
10405	Solve for x	2sin(x)^2+3sin(x)+1=0	$2 \sin^{2} (x) + 3 \sin (x) + 1 = 0$
10406	Solve for x	2cos(2x)^2-1=sin(4x)	$2 \cos^{2} (2 x) - 1 = \sin (4 x)$
10407	Solve for x	2cos(3x)^2+5cos(3x)-3<0	$2 \cos^{2} (3 x) + 5 \cos (3 x) - 3 < 0$
10408	Solve for x	2sin(x)^2=sin(x)	$2 \sin^{2} (x) = \sin (x)$
10409	Solve for ?	cos(2theta)=( square root of 3)/2	$\cos (2 θ) = \frac{\sqrt{3}}{2}$
10410	Solve for x	25(125^x)=1	$25 (125^{x}) = 1$
10411	Solve for x	3+ log of 2x+5=2	$3 + \log (2 x + 5) = 2$
10412	Solve for x	3x<21	$3 x < 21$
10413	Solve for x	3x-2=x+9	$3 x - 2 = x + 9$
10414	Solve for x	2sin(x)=0	$2 \sin (x) = 0$
10415	Solve for x	3x^2+8x-16>0	$3 x^{2} + 8 x - 16 > 0$
10416	Solve for x	3 = log base 4 of x	$3 = \log_{4} (x)$
10417	Solve for x	11^2-327x-2960=0	$11^{2} - 327 x - 2960 = 0$
10418	Solve for x	\|sin(x)\|<1/2	$\| \sin (x) \| < \frac{1}{2}$
10419	Solve for x	2/7=(x-6)/(x+5)	$\frac{2}{7} = \frac{x - 6}{x + 5}$
10420	Solve for x	\|2x+3\|+1>6	$\| 2 x + 3 \| + 1 > 6$
10421	Solve for x	-1/2(4x+6)=1/3(9-3x)	$- \frac{1}{2} \cdot (4 x + 6) = \frac{1}{3} \cdot (9 - 3 x)$
10422	Solve for o	tan(21)=9/x	$\tan (21) = \frac{9}{x}$
10423	Solve for x	(2cos(x+ square root of 3))(2sin(x+1))=0	$(2 \cos (x + \sqrt{3})) (2 \sin (x + 1)) = 0$
10424	Solve for x	(2x+2)(x-2)(3x-4)=0	$(2 x + 2) (x - 2) (3 x - 4) = 0$
10425	Solve for x	\|4x-6\|-2<-5	$\| 4 x - 6 \| - 2 < - 5$
10426	Solve for x	(12cot(x)-5)/(13sin(x)-12)=0	$\frac{12 \cot (x) - 5}{13 \sin (x) - 12} = 0$
10427	Solve for x	tan(x)^2=3sec(x-2)^2	$\tan^{2} (x) = 3 \sec^{2} (x - 2)$
10428	Solve for x	sin(2x)^2=3cos(2x)^2	$\sin^{2} (2 x) = 3 \cos^{2} (2 x)$
10429	Solve for x	sin(x)^2-4=0	$\sin^{2} (x) - 4 = 0$
10430	Solve for x	e^x=0.83	$e^{x} = 0.83$
10431	Solve for x	log base 3 of 3x+5-2 log base 3 of 3=4	$\log_{3} (3 x + 5) - 2 \log_{3} (3) = 4$
10432	Solve for x	log base 2 of 7=3x-5	$\log_{2} (7) = 3 x - 5$
10433	Solve for x	csc(x)^5-4csc(x)=0	$\csc^{5} (x) - 4 \csc (x) = 0$
10434	Solve for x	64^(7x-2)=16	$64^{7 x - 2} = 16$
10435	Solve for x	5/2x-1=2/3	$\frac{5}{2} x - 1 = \frac{2}{3}$
10436	Solve for x	3/2x-1=x+1/3	$\frac{3}{2} x - 1 = x + \frac{1}{3}$
10437	Solve for ?	sin(x)=cos(x/2+10)	$\sin (x) = \cos (\frac{x}{2} + 10)$
10438	Solve for ?	sin(x)=1/( square root of 2)	$\sin (x) = \frac{1}{\sqrt{2}}$
10439	Solve for ?	sin(x)=cos(2x)	$\sin (x) = \cos (2 x)$
10440	Solve for ?	tan(x)=x/7	$\tan (x) = \frac{x}{7}$
10441	Solve for ?	tan(x/2)=1	$\tan (\frac{x}{2}) = 1$
10442	Solve for ?	tan(x)=820/300	$\tan (x) = \frac{820}{300}$
10443	Solve for a	a=arcsin((4.1717sin(90))/23.5)	$a = \arcsin (\frac{4.1717 \sin (90)}{23.5})$
10444	Solve for B	a/(sin(46))=10/(sin(B))	$\frac{a}{\sin (46)} = \frac{10}{\sin (B)}$
10445	Solve for A	sin(A)=3/4	$\sin (A) = \frac{3}{4}$
10446	Solve for a	a=arctan(30/100)	$a = \arctan (\frac{30}{100})$
10447	Solve for a	ab<ad	$a b < a d$
10448	Solve for a	cos(a)<sin(a)	$\cos (a) < \sin (a)$
10449	Solve for ?	2sin(3x)-1=0	$2 \sin (3 x) - 1 = 0$
10450	Solve for ?	2tan(x)+2=0	$2 \tan (x) + 2 = 0$
10451	Solve for ?	square root of 3sec(x)-2tan(x)=0	$\sqrt{3} \sec (x) - 2 \tan (x) = 0$
10452	Solve for ?	2(1-cos(2theta))=tan(theta)	$2 (1 - \cos (2 θ)) = \tan (θ)$
10453	Solve for ?	x=arctan(4/3)	$x = \arctan (\frac{4}{3})$
10454	Solve for ?	x=2.9	$x = 2.9$
10455	Solve for ?	(3/4)^2+cos(x)^2=1	${(\frac{3}{4})}^{2} + \cos^{2} (x) = 1$
10456	Solve for ?	(4tan(x))/(21-tan(x^2))=1	$\frac{4 \tan (x)}{21 - \tan (x^{2})} = 1$
10457	Solve for ?	cos(x)+sin(x)=0	$\cos (x) + \sin (x) = 0$
10458	Solve for ?	4tan(x)+5=0	$4 \tan (x) + 5 = 0$
10459	Solve for ?	cos(x/2)=1	$\cos (\frac{x}{2}) = 1$
10460	Solve for ?	cos(-1/3)cos(x)>0	$\cos (- \frac{1}{3}) \cos (x) > 0$
10461	Solve for ?	cos(x)=-40/( square root of 1649)	$\cos (x) = \frac{- 40}{\sqrt{1649}}$
10462	Solve for ?	cos(x)=7/8	$\cos (x) = \frac{7}{8}$
10463	Solve for ?	cos(x)=-sin(-x)	$\cos (x) = - \sin (- x)$
10464	Solve for ?	cos(x+pi/4)-cos(x-pi/4)=1	$\cos (x + \frac{π}{4}) - \cos (x - \frac{π}{4}) = 1$
10465	Solve for ?	cos(2x)=13sin(x-6)	$\cos (2 x) = 13 \sin (x - 6)$
10466	Solve for ?	cot(x)=q	$\cot (x) = q$
10467	Solve for ?	rsin(x)=-2	$r \sin (x) = - 2$
10468	Solve for ?	sec(x)+ square root of 2=0	$\sec (x) + \sqrt{2} = 0$
10469	Solve for ?	sin(x)(tan(x)+cot(x))=sec(x)	$\sin (x) (\tan (x) + \cot (x)) = \sec (x)$
10470	Solve for ?	r=10+5cos(x)	$r = 10 + 5 \cos (x)$
10471	Solve for o	tan(210)=(sin(120))/(1+cos(60))	$\tan (210) = \frac{\sin (120)}{1 + \cos (60)}$
10472	Solve for o	tan(26.2)=d/7.61	$\tan (26.2) = \frac{d}{7.61}$
10473	Solve for n	3n=-7	$3 n = - 7$
10474	Solve for n	9+n/5=19	$9 + \frac{n}{5} = 19$
10475	Solve for k	4k-6<3k+k-1	$4 k - 6 < 3 k + k - 1$
10476	Solve for k	tan(22+tan(38- square root of 3))=ktan(22tan(38))	$\tan (22 + \tan (38 - \sqrt{3})) =$ ktan $(22 \tan (38))$
10477	Solve for b	sin((19.7-b)pi/180)-sin((19.7+c)pi/180)=1132/100- square root of (1132/100-2sin(19.7pi/180))^2-(cos((19.7-b)pi/180)-cos((19.7+c)*pi/180))^2	$\sin ((19.7 - b) \cdot \frac{π}{180}) - \sin ((19.7 + c) \cdot \frac{π}{180}) = \frac{1132}{100} - \sqrt{{(\frac{1132}{100} - 2 \sin (19.7 \cdot \frac{π}{180}))}^{2} - {(\cos ((19.7 - b) \cdot \frac{π}{180}) - \cos ((19.7 + c) \cdot \frac{π}{180}))}^{2}}$
10478	Solve for A	sin(A)=0.43	$\sin (A) = 0.43$
10479	Solve for b	cos(23)=b/187	$\cos (23) = \frac{b}{187}$
10480	Solve for c	c=(sin(20)*20)/(sin(39))	$c = \frac{\sin (20) \cdot 20}{\sin (39)}$
10481	Solve for d	d=0.6sin(3520)	$d = 0.6 \sin (3520)$
10482	Solve for h	h=-16t^2+120t+50	$h = - 16 t^{2} + 120 t + 50$
10483	Solve for t	u=amsin(wt)	$u =$ amsin $(w t)$
10484	Solve for V	log of P+n log of V = log of c	$\log (P) + n \log (V) = \log (c)$
10485	Solve for v	9/2v+6<3v-4	$\frac{9}{2} v + 6 < 3 v - 4$
10486	Solve for t	h=-36t^2+bt+k	$h = - 36 t^{2} + b t + k$
10487	Solve for v	(v+7)^3+88=0	${(v + 7)}^{3} + 88 = 0$
10488	Solve for t	v=1.7sin((pit)/5)	$v = 1.7 \sin (\frac{π t}{5})$
10489	Solve for p	\|p-6\|=5	$\| p - 6 \| = 5$
10490	Solve for s	cos(s)=( square root of 2)/2	$\cos (s) = \frac{\sqrt{2}}{2}$
10491	Solve for r	r=cos(x)	$r = \cos (x)$
10492	Simplify	tan(x)(cot(x)cos(x))	$\tan (x) (\cot (x) \cos (x))$
10493	Simplify	tan(u)(cot(u)+tan(u))	$\tan (u) (\cot (u) + \tan (u))$
10494	Simplify	tan(u)sin(u)+cos(u)	$\tan (u) \sin (u) + \cos (u)$
10495	Simplify	tan(x)*cos(x)^2	$\tan (x) \cdot \cos^{2} (x)$
10496	Simplify	tan(x)*sec(x)	$\tan (x) \cdot \sec (x)$
10497	Simplify	tan(x)sin(x)sec(x)	$\tan (x) \cdot \sin (x) \cdot \sec (x)$
10498	Simplify	tan(x)*sin(x)+cos(x)	$\tan (x) \cdot \sin (x) + \cos (x)$
10499	Simplify	tan(pi)-tan(x)	$\tan (π) - \tan (x)$
10500	Simplify	tan(x)=2	$\tan (x) = 2$