Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5101	Solve for x	-2sin(x)^2=3sin(x)+1	$- 2 \sin^{2} (x) = 3 \sin (x) + 1$
5102	Solve for x	2sin(x)^2-7sin(x)+3=0	$2 \sin^{2} (x) - 7 \sin (x) + 3 = 0$
5103	Solve for x	2cos(x)^2+sin(x)-2=0	$2 \cos^{2} (x) + \sin (x) - 2 = 0$
5104	Solve for x	log base 5 of x+1- log base 5 of x-1 = log base 5 of x	$\log_{5} (x + 1) - \log_{5} (x - 1) = \log_{5} (x)$
5105	Solve for x	log base 3 of 2x-5=2	$\log_{3} (2 x - 5) = 2$
5106	Solve for x	e^(4x-5)-7=11243	$e^{4 x - 5} - 7 = 11243$
5107	Evaluate	csc(-pi/4)	$\csc (- \frac{π}{4})$
5108	Solve for x	sin(x)^2=1/4	$\sin^{2} (x) = \frac{1}{4}$
5109	Solve for x	sin(x)^2=-2cos(x)+2	$\sin^{2} (x) = - 2 \cos (x) + 2$
5110	Solve for x	sin(x)^2+2sin(x)+1=0	$\sin^{2} (x) + 2 \sin (x) + 1 = 0$
5111	Solve for x	-arcsin(4x)=pi/4	$- \arcsin (4 x) = \frac{π}{4}$
5112	Solve for θ in Radians	2cos(theta)+1=0	$\tan^{2} (x) - \sin^{2} (x) = \tan^{2} (x) \sin^{2} (x)$
5113	Solve for x	square root of 3csc(x-2)=0	$\sqrt{3} \csc (x - 2) = 0$
5114	Solve for x	30/(x^2-9)+1=5/(x-3)	$\frac{30}{x^{2} - 9} + 1 = \frac{5}{x - 3}$
5115	Solve for x	3^(3x-3)=5^(-x-1)	$3^{3 x - 3} = 5^{- x - 1}$
5116	Solve for x	2^x=128	$2^{x} = 128$
5117	Solve for x	2^(9-2x)=1/32	$2^{9 - 2 x} = \frac{1}{32}$
5118	Solve for x	5^(x-1)=3^(2x+1)	$5^{x - 1} = 3^{2 x + 1}$
5119	Solve for x	81^x=1/729	$81^{x} = \frac{1}{729}$
5120	Solve for x	cot(x)^2-3=0	$\cot^{2} (x) - 3 = 0$
5121	Solve for x	csc(x)^2=4	$\csc^{2} (x) = 4$
5122	Simplify Using Half-Angle Formula	cos(22.5 degrees )	$\cos^{2} (x) = \frac{1 - \cos (2 x)}{2}$
5123	Solve for x	cos(x)^2-3cos(x)+1=0	$\cos^{2} (x) - 3 \cos (x) + 1 = 0$
5124	Solve for x	cos(2x)^2-sin(2x)^2=0	$\cos^{2} (2 x) - \sin^{2} (2 x) = 0$
5125	Solve for x	arccos(x-( square root of 3)/2)=pi/3	$\arccos (x - \frac{\sqrt{3}}{2}) = \frac{π}{3}$
5126	Solve for r	r^2=cos(2x)	$r^{2} = \cos (2 x)$
5127	Solve for r	pi/3=150/r	$\frac{π}{3} = \frac{150}{r}$
5128	Solve for r	A=pr^2	$A = p r^{2}$
5129	Solve for B	sin(B)=0.45	$\sin (B) = 0.45$
5130	Solve for B	sin(B)=10/16	$\sin (B) = \frac{10}{16}$
5131	Solve for b	sin(b)=0.4848	$\sin (b) = 0.4848$
5132	Solve for b	log base b of 25=2	$\log_{b} (25) = 2$
5133	Solve for b	4pi=(2pi)/b	$4 π = \frac{2 π}{b}$
5134	Solve for x	13/x=10-x	$\frac{13}{x} = 10 - x$
5135	Solve for x	16^x=1/1024	$16^{x} = \frac{1}{1024}$
5136	Solve for X	(2/3)^X=16/81	${(\frac{2}{3})}^{X} = \frac{16}{81}$
5137	Solve for x	(e^x+e^(-x))/15=2	$\frac{e^{x} + e^{- x}}{15} = 2$
5138	Solve for t	sec(t)=-2/( square root of 3)	$\sec (t) = - \frac{2}{\sqrt{3}}$
5139	Solve for s	9-8s=8(9-st)	$9 - 8 s = 8 (9 - s t)$
5140	Solve for v	v=6i-10j	$v = 6 i - 10 j$
5141	Solve for ?	4sec(x)+1=9	$4 \sec (x) + 1 = 9$
5142	Solve for ?	2sin(x)-1=csc(x)	$2 \sin (x) - 1 = \csc (x)$
5143	Solve for ?	2sin(x)=2cos(2x)	$2 \sin (x) = 2 \cos (2 x)$
5144	Solve for ?	cos(x)=12/13	$\cos (x) = \frac{12}{13}$
5145	Solve for ?	cos(x)=2/5	$\cos (x) = \frac{2}{5}$
5146	Solve for ?	cos(x)=-24/25	$\cos (x) = - \frac{24}{25}$
5147	Solve for ?	cos(x)- square root of 3sin(x)=1	$\cos (x) - \sqrt{3} \sin (x) = 1$
5148	Solve for ?	9-9sin(x)=6cos(x)^2	$9 - 9 \sin (x) = 6 \cos^{2} (x)$
5149	Solve for ?	5sin(x)-2=0	$5 \sin (x) - 2 = 0$
5150	Solve for ?	6sec(x)^2tan(x)=12tan(x)	$6 \sec^{2} (x) \tan (x) = 12 \tan (x)$
5151	Solve for ?	6sin(x)^2-3=0	$6 \sin^{2} (x) - 3 = 0$
5152	Solve for ?	6cos(x)+3=0	$6 \cos (x) + 3 = 0$
5153	Solve for ?	8sin(x)^2-2=0	$8 \sin^{2} (x) - 2 = 0$
5154	Solve for ?	8 square root of 2cos(x)+6=-2	$8 \sqrt{2} \cos (x) + 6 = - 2$
5155	Solve for ?	6tan(x)+5=0	$6 \tan (x) + 5 = 0$
5156	Solve for ?	7sin(x)+1=5sin(x)	$7 \sin (x) + 1 = 5 \sin (x)$
5157	Solve for ?	12cos(x)^2=3	$12 \cos^{2} (x) = 3$
5158	Solve for ?	16cos(x)^2=4	$16 \cos^{2} (x) = 4$
5159	Solve for ?	12sin(x)^2-3=0	$12 \sin^{2} (x) - 3 = 0$
5160	Solve for ?	2sin(x)^2-sin(x)=0	$2 \sin^{2} (x) - \sin (x) = 0$
5161	Solve for ?	2cos(x)+ square root of 2=0	$2 \cos (x) + \sqrt{2} = 0$
5162	Solve for ?	2cos(x)-1=sec(x)	$2 \cos (x) - 1 = \sec (x)$
5163	Solve for ?	2 square root of 3sin(4x)=3	$2 \sqrt{3} \sin (4 x) = 3$
5164	Solve for ?	sec(x)^2+2tan(x)=0	$\sec^{2} (x) + 2 \tan (x) = 0$
5165	Simplify Using Half-Angle Formula	cos(67.5 degrees )	$\cot^{2} (x) = \frac{3}{2} \cdot \csc (x)$
5166	Solve for ?	square root of 2sin(x)^2+sin(x)=0	$\sqrt{2} \sin^{2} (x) + \sin (x) = 0$
5167	Solve for ?	tan(x)^2-3=0	$\tan^{2} (x) - 3 = 0$
5168	Solve for ?	(1-cos(x))/(sin(x))+(sin(x))/(1-cos(x))=2csc(x)	$\frac{1 - \cos (x)}{\sin (x)} + \frac{\sin (x)}{1 - \cos (x)} = 2 \csc (x)$
5169	Solve for ?	x=45	$x = 45$
5170	Solve for ?	x=60	$x = 60$
5171	Solve for ?	x=90	$x = 90$
5172	Solve for ?	(tan(x)+1)(sec(x)-1)=0	$(\tan (x) + 1) (\sec (x) - 1) = 0$
5173	Solve for ?	(tan(x)^2-16)(2cos(x)+1)=0	$(\tan^{2} (x) - 16) (2 \cos (x) + 1) = 0$
5174	Solve for ?	cos(2x)=3sin(x)-1	$\cos (2 x) = 3 \sin (x) - 1$
5175	Solve for ?	cot(x)=cos(x)	$\cot (x) = \cos (x)$
5176	Solve for ?	cot(x)=cos(x)csc(x)	$\cot (x) = \cos (x) \csc (x)$
5177	Solve for ?	cos(x)-sin(x)=0	$\cos (x) - \sin (x) = 0$
5178	Solve for ?	cos(x/2)=-1/2	$\cos (\frac{x}{2}) = - \frac{1}{2}$
5179	Solve for ?	cos(x)=-5/13	$\cos (x) = - \frac{5}{13}$
5180	Solve for ?	r=cos(x)	$r = \cos (x)$
5181	Solve for ?	r=6cos(x)	$r = 6 \cos (x)$
5182	Solve for ?	sec(x)=25/24	$\sec (x) = \frac{25}{24}$
5183	Solve for ?	sec(x)=5/3	$\sec (x) = \frac{5}{3}$
5184	Solve for ?	sec(x)=5/4	$\sec (x) = \frac{5}{4}$
5185	Solve for ?	sec(x)+2=0	$\sec (x) + 2 = 0$
5186	Solve for ?	sec(x)-2=0	$\sec (x) - 2 = 0$
5187	Solve for ?	sec(x)cot(x)=csc(x)	$\sec (x) \cot (x) = \csc (x)$
5188	Solve for ?	sec(x)=3	$\sec (x) = 3$
5189	Solve for ?	sec(x)=0	$\sec (x) = 0$
5190	Solve for ?	sec(x)=5	$\sec (x) = 5$
5191	Solve for ?	cot(x)=3	$\cot (x) = 3$
5192	Solve for ?	csc(x)+2=0	$\csc (x) + 2 = 0$
5193	Solve for ?	csc(x)-1=0	$\csc (x) - 1 = 0$
5194	Solve for ?	csc(x)-2=0	$\csc (x) - 2 = 0$
5195	Solve for ?	sin(x/2)=-( square root of 3)/2	$\sin (\frac{x}{2}) = - \frac{\sqrt{3}}{2}$
5196	Solve for ?	sin(x/2)-1=0	$\sin (\frac{x}{2}) - 1 = 0$
5197	Solve for ?	sin(2x)=sin(x)	$\sin (2 x) = \sin (x)$
5198	Solve for ?	tan(x)=1/3	$\tan (x) = \frac{1}{3}$
5199	Solve for ?	tan(x)=-1/( square root of 3)	$\tan (x) = - \frac{1}{\sqrt{3}}$
5200	Solve for ?	tan(x)+1/( square root of 3)=0	$\tan (x) + \frac{1}{\sqrt{3}} = 0$