Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
27201	Solve for x	sec(x)^4-tan(x)^4=1+2tan(x)^2	$\sec^{4} (x) - \tan^{4} (x) = 1 + 2 \tan^{2} (x)$
27202	Solve for x	(sin(x))/(1+cos(x))=(1-cos(x))/(sin(x))	$\frac{\sin (x)}{1 + \cos (x)} = \frac{1 - \cos (x)}{\sin (x)}$
27203	Solve for x	(sin(118))/a=(sin(22))/b=(sin(c))/24	$\frac{\sin (118)}{a} = \frac{\sin (22)}{b} = \frac{\sin (c)}{24}$
27204	Solve for x	(sin(125))/4=sin(x)	$\frac{\sin (125)}{4} = \sin (x)$
27205	Solve for x	(sin(14.5))/a=(sin(150))/280	$\frac{\sin (14.5)}{a} = \frac{\sin (150)}{280}$
27206	Solve for x	(sin(2x))/(cos(2x))=-(sin(x))/(cos(x))	$\frac{\sin (2 x)}{\cos (2 x)} = - \frac{\sin (x)}{\cos (x)}$
27207	Solve for x	(sin(38))/17.2=(sin(x))/25.6	$\frac{\sin (38)}{17.2} = \frac{\sin (x)}{25.6}$
27208	Solve for x	(sin(38))/a=(sin(59))/25	$\frac{\sin (38)}{a} = \frac{\sin (59)}{25}$
27209	Solve for x in Radians	cos(x)=1/2	$\frac{\sin (3 x)}{\sin (x)} = 2 \cos^{2} (x)$
27210	Solve for x	(sin(40))/19=(sin(x))/13	$\frac{\sin (40)}{19} = \frac{\sin (x)}{13}$
27211	Solve for x	(sin(49))/7.44=(sin(41))/x	$\frac{\sin (49)}{7.44} = \frac{\sin (41)}{x}$
27212	Solve for x	(sin(4x))/(sin(x))=4cos(x)(2x)	$\frac{\sin (4 x)}{\sin (x)} = 4 \cos (x) (2 x)$
27213	Solve for x	(sin(50))/3=(sin(x))/2	$\frac{\sin (50)}{3} = \frac{\sin (x)}{2}$
27214	Solve for x	(sin(60))/a=(sin(30))/20	$\frac{\sin (60)}{a} = \frac{\sin (30)}{20}$
27215	Solve for x	(sin(60))/x=(sin(45))/10	$\frac{\sin (60)}{x} = \frac{\sin (45)}{10}$
27216	Solve for x	(sin(65))/a=(sin(10))/b=(sin(105))/20	$\frac{\sin (65)}{a} = \frac{\sin (10)}{b} = \frac{\sin (105)}{20}$
27217	Solve for x	(sin(7))/7=(sin(x))/14	$\frac{\sin (7)}{7} = \frac{\sin (x)}{14}$
27218	Solve for x	(sin(80))/17=(sin(x))/14	$\frac{\sin (80)}{17} = \frac{\sin (x)}{14}$
27219	Solve for x	(sin(92))/24=(sin(z))/7	$\frac{\sin (92)}{24} = \frac{\sin (z)}{7}$
27220	Solve for x	(sin(94.5))/x=(sin(20.5))/12	$\frac{\sin (94.5)}{x} = \frac{\sin (20.5)}{12}$
27221	Solve for x	(sin(B))/25.5=(sin(44.2))/22.7	$\frac{\sin (B)}{25.5} = \frac{\sin (44.2)}{22.7}$
27222	Solve for x	(sin(x))/(cos(x)csc(x))=sec(x)-cos(x)	$\frac{\sin (x)}{\cos (x) \csc (x)} = \sec (x) - \cos (x)$
27223	Solve for x	(sin(x))/(csc(x))=(tan(x))(cot(x))	$\frac{\sin (x)}{\csc (x)} = (\tan (x)) (\cot (x))$
27224	Solve for x	(sin(x+1))/(cos(x)+cot(x))=tan(x)	$\frac{\sin (x + 1)}{\cos (x) + \cot (x)} = \tan (x)$
27225	Solve for x	arcsin(x)=0.6131	$\arcsin (x) = 0.6131$
27226	Solve for x	arcsin(x)-arctan(1)=-pi/6	$\arcsin (x) - \arctan (1) = - \frac{π}{6}$
27227	Solve for x	arcsin(x)+arctan(x)=0	$\arcsin (x) + \arctan (x) = 0$
27228	Solve for x	t^(2+2t)=-17	$t^{2 + 2 t} = - 17$
27229	Solve for x	(tan(46))/1=8/x	$\frac{\tan (46)}{1} = \frac{8}{x}$
27230	Solve for x	(tan(x))/1=25/50	$\frac{\tan (x)}{1} = \frac{25}{50}$
27231	Solve for x	arctan(sin(x))=pi/3	$\arctan (\sin (x)) = \frac{π}{3}$
27232	Solve for x	arctan(x)=28/107	$\arctan (x) = \frac{28}{107}$
27233	Solve for x	tan(x)^2+9tan(x)+1=0	$\tan^{2} (x) + 9 \tan (x) + 1 = 0$
27234	Find the Cotangent Given the Point	(-2/3,( square root of 5)/3)	$\tan^{2} (x) = \frac{\sqrt{3}}{6} \cdot \sec (x)$
27235	Find the Cotangent Given the Point	(-2,-5)	$\tan^{2} (x) = \frac{3}{2} \cdot \sec (x)$
27236	Find the Cotangent Given the Point	(-6,8)	$\tan^{2} (x) = \frac{3}{2} \cdot \sec (x)$
27237	Solve for x	u^2-v^2=(u+v)(u-v)	$u^{2} - v^{2} = (u + v) (u - v)$
27238	Solve for x	square root of a^2+b^2=12	$\sqrt{a^{2} + b^{2}} = 12$
27239	Solve for x	square root of 2cos(x-1)=cos(2x)	$\sqrt{2} \cos (x - 1) = \cos (2 x)$
27240	Solve for x	square root of 230 = square root of x^2	$\sqrt{230} = \sqrt{x^{2}}$
27241	Solve for x	square root of 2a-13 = square root of 15-2a	$\sqrt{2 a - 13} = \sqrt{15 - 2 a}$
27242	Solve for x	square root of 2x+7 = square root of 5x-8	$\sqrt{2 x + 7} = \sqrt{5 x - 8}$
27243	Solve for x	square root of 2x-5-1=2	$\sqrt{2 x - 5} - 1 = 2$
27244	Solve for x	square root of 3cos(x)+sin(x)=1	$\sqrt{3} \cos (x) + \sin (x) = 1$
27245	Solve for x	square root of 3cot(x)+1=0	$\sqrt{3} \cot (x) + 1 = 0$
27246	Solve for x	square root of 3cot(6x)=1	$\sqrt{3} \cot (6 x) = 1$
27247	Solve for x	square root of 3sin(x)- square root of 1+sin(x)^2=0	$\sqrt{3} \sin (x) - \sqrt{1 + \sin^{2} (x)} = 0$
27248	Graph	y=cos(x/5)	$y = \cos (\frac{x}{5})$
27249	Solve for x	square root of 8x=5	$\sqrt{8 x} = 5$
27250	Solve for x	square root of n = square root of 2n-5	$\sqrt{n} = \sqrt{2 n - 5}$
27251	Solve for x	square root of x-5+2=0	$\sqrt{x - 5} + 2 = 0$
27252	Solve for x	v^2-3v+8=6	$v^{2} - 3 v + 8 = 6$
27253	Solve for x	cube root of x-2=3	$\sqrt[3]{x - 2} = 3$
27254	Solve for x	x/(x^2-16)-(x+5)/(x^2-4x)=-8/(x^2+4x)	$\frac{x}{x^{2} - 16} - \frac{x + 5}{x^{2} - 4 x} = \frac{- 8}{x^{2} + 4 x}$
27255	Solve for x	x/(x^3+15x^2+56x)=0/(x(x+4)(x+7)x+(x+8))	$\frac{x}{x^{3} + 15 x^{2} + 56 x} = \frac{0}{x (x + 4) (x + 7) x + (x + 8)}$
27256	Solve for x	x/7-7/x=0	$\frac{x}{7} - \frac{7}{x} = 0$
27257	Solve for x	x/(x-2)=7/5	$\frac{x}{x - 2} = \frac{7}{5}$
27258	Solve for x	x^2*45=14x	$x^{2} \cdot 45 = 14 x$
27259	Solve for x	x^2+15^2=25^2	$x^{2} + 15^{2} = 25^{2}$
27260	Solve for x	x^2+24^2=x+12^2	$x^{2} + 24^{2} = x + 12^{2}$
27261	Solve for x	x^2+y^2+8x+12y-36=0	$x^{2} + y^{2} + 8 x + 12 y - 36 = 0$
27262	Solve for x	x^2+y^2+8x+6y+16=0	$x^{2} + y^{2} + 8 x + 6 y + 16 = 0$
27263	Solve for x	x^2+y^2-10x-2y=23	$x^{2} + y^{2} - 10 x - 2 y = 23$
27264	Find Where Undefined/Discontinuous	7^(x+1)-3*7^(x-1)=46	$7^{x + 1} - 3 \cdot 7^{x - 1} = 46$
27265	Find Where Undefined/Discontinuous	(7x)/(x+4)-28/(x-4)=(7x^2+112)/(x^2-16)	$\frac{7 x}{x + 4} - \frac{28}{x - 4} = \frac{7 x^{2} + 112}{x^{2} - 16}$
27266	Find Where Undefined/Discontinuous	b^2=13.7^2+20.1-2*13.7(20.1cos(66.5))	$b^{2} = {13.7}^{2} + 20.1 - 2 \cdot 13.7 (20.1 \cos (66.5))$
27267	Find Where Undefined/Discontinuous	(cos(x)-cos(3x))/(sin(x)+sin(3x))=tan(x)	$\frac{\cos (x) - \cos (3 x)}{\sin (x) + \sin (3 x)} = \tan (x)$
27268	Find Where Undefined/Discontinuous	(cos(2x))/(cos(x)^2)=sec(x)^2-2tan(x)^2	$\frac{\cos (2 x)}{\cos^{2} (x)} = \sec^{2} (x) - 2 \tan^{2} (x)$
27269	Find Where Undefined/Discontinuous	arccos(x)=arcsin(7/25)	$\arccos (x) = \arcsin (\frac{7}{25})$
27270	Find Where Undefined/Discontinuous	cos(112.5)^2-sin(11.5)^2=cos(2*45)	$\cos^{2} (112.5) - \sin^{2} (11.5) = \cos (2 \cdot 45)$
27271	Find Where Undefined/Discontinuous	csc(x)^2=1.2758	$\csc^{2} (x) = 1.2758$
27272	Find Where Undefined/Discontinuous	csc(x)^2-cot(x)^2	$\csc^{2} (x) - \cot^{2} (x)$
27273	Find Where Undefined/Discontinuous	csc(x)^5-4csc(x)=0	$\csc^{5} (x) - 4 \csc (x) = 0$
27274	Find Where Undefined/Discontinuous	e^(xj)=cos(x)+jsin(x)	$e^{x j} = \cos (x) + j \sin (x)$
27275	Find Where Undefined/Discontinuous	e^(2x)-4e^x+3=0	$e^{2 x} - 4 e^{x} + 3 = 0$
27276	Find Where Undefined/Discontinuous	log base 2 of 15+ log base 2 of 14- log base 2 of 105 = log of x	$\log_{2} (15) + \log_{2} (14) - \log_{2} (105) = \log (x)$
27277	Find Where Undefined/Discontinuous	log base 2 of 3+ log base 2 of x = log base 2 of 5+ log base 2 of x-2	$\log_{2} (3) + \log_{2} (x) = \log_{2} (5) + \log_{2} (x - 2)$
27278	Find Where Undefined/Discontinuous	log base 2 of 4x+20=24	$\log_{2} (4 x) + 20 = 24$
27279	Find Where Undefined/Discontinuous	log base 2 of x+8 = log base 2 of 3+ log base 2 of 5	$\log_{2} (x + 8) = \log_{2} (3) + \log_{2} (5)$
27280	Find Where Undefined/Discontinuous	log base 3 of x=5	$\log_{3} (x) = 5$
27281	Find Where Undefined/Discontinuous	log base 4 of x+ log base 4 of x-3 = log base 4 of -7x+21	$\log_{4} (x) + \log_{4} (x - 3) = \log_{4} (- 7 x + 21)$
27282	Find Where Undefined/Discontinuous	log base 5 of y=3	$\log_{5} (y) = 3$
27283	Find Where Undefined/Discontinuous	(sec(x))/(tan(x))=csc(x)	$\frac{\sec (x)}{\tan (x)} = \csc (x)$
27284	Find Where Undefined/Discontinuous	(sec(x)-csc(x))/(sec(x)+csc(x))=(1-cot(x))/(1+cot(x))	$\frac{\sec (x) - \csc (x)}{\sec (x) + \csc (x)} = \frac{1 - \cot (x)}{1 + \cot (x)}$
27285	Find Where Undefined/Discontinuous	(sin(x))/(cos(x))+(cos(x))/(sin(x))=csc(x)*sec(x)	$\frac{\sin (x)}{\cos (x)} + \frac{\cos (x)}{\sin (x)} = \csc (x) \cdot \sec (x)$
27286	Find Where Undefined/Discontinuous	(sin(3x))/(sin(x))=2cos(x)^2	$\frac{\sin (3 x)}{\sin (x)} = 2 \cos^{2} (x)$
27287	Find Where Undefined/Discontinuous	(sin(x))/(1-cos(x))=csc(x)*1+(cos(x))	$\frac{\sin (x)}{1 - \cos (x)} = \csc (x) \cdot 1 + (\cos (x))$
27288	Find Where Undefined/Discontinuous	(sin(x))/(cos(x))=1	$\frac{\sin (x)}{\cos (x)} = 1$
27289	Find Where Undefined/Discontinuous	arcsin(5/8)=A	$\arcsin (\frac{5}{8}) = A$
27290	Find Where Undefined/Discontinuous	sin(x)^2=9(cos(-x)-1)	$\sin^{2} (x) = 9 (\cos (- x) - 1)$
27291	Find Where Undefined/Discontinuous	sin(x)^2sin(2x)+sin(x)=0	$\sin^{2} (x) \sin (2 x) + \sin (x) = 0$
27292	Find Where Undefined/Discontinuous	(tan(x))/(cot(x))=tan(x)^2	$\frac{\tan (x)}{\cot (x)} = \tan^{2} (x)$
27293	Find Where Undefined/Discontinuous	(tan(x))/(1+tan(x))=(sin(x))/(sin(x)+cos(x))	$\frac{\tan (x)}{1 + \tan (x)} = \frac{\sin (x)}{\sin (x) + \cos (x)}$
27294	Find Where Undefined/Discontinuous	tan(x)^2=-3/2*sec(x)	$\tan^{2} (x) = - \frac{3}{2} \cdot \sec (x)$
27295	Find Where Undefined/Discontinuous	tan(x)^2-1=0	$\tan^{2} (x) - 1 = 0$
27296	Find Where Undefined/Discontinuous	tan(t)^4-sec(t)^4=1-2sec(t)^2	$\tan^{4} (t) - \sec^{4} (t) = 1 - 2 \sec^{2} (t)$
27297	Find Where Undefined/Discontinuous	1/(1+sin(x))+1/(1-sin(x))=2sec(x)^2	$\frac{1}{1 + \sin (x)} + \frac{1}{1 - \sin (x)} = 2 \sec^{2} (x)$
27298	Find Where Undefined/Discontinuous	1/2=-6i-6j	$\frac{1}{2} = - 6 i - 6 j$
27299	Find Where Undefined/Discontinuous	1/(sin(t))=csc(t)	$\frac{1}{\sin (t)} = \csc (t)$
27300	Find Where Undefined/Discontinuous	1/(z+1)-(6-z)/(6z)=0	$\frac{1}{z + 1} - \frac{6 - z}{6 z} = 0$