Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
27301	Find Where Undefined/Discontinuous	(-1+cot(w)^2+cos(w)^2tan(w)^2)/(csc(w)^2)=cos(w)^4	$\frac{- 1 + \cot^{2} (w) + \cos^{2} (w) \tan^{2} (w)}{\csc^{2} (w)} = \cos^{4} (w)$
27302	Find Where Undefined/Discontinuous	(1+cos(3t))/(sin(3t))+(sin(3t))/(1+cos(3t))	$\frac{1 + \cos (3 t)}{\sin (3 t)} + \frac{\sin (3 t)}{1 + \cos (3 t)}$
27303	Graph	y=5sin(x-3)-2	$y = 5 \sin (x - 3) - 2$
27304	Find Where Undefined/Discontinuous	(1-sin(x))/(1+sin(x))=(sec(x)-tan(x))^2	$\frac{1 - \sin (x)}{1 + \sin (x)} = {(\sec (x) - \tan (x))}^{2}$
27305	Find Where Undefined/Discontinuous	(1-sin(x))/(cos(x))=(cos(x))/(1+sin(x))	$\frac{1 - \sin (x)}{\cos (x)} = \frac{\cos (x)}{1 + \sin (x)}$
27306	Find Where Undefined/Discontinuous	2/(9x)-7/12=3/x	$\frac{2}{9 x} - \frac{7}{12} = \frac{3}{x}$
27307	Find Where Undefined/Discontinuous	(2tan(x))/(1+tan(x)^2)=sin(2x)	$\frac{2 \tan (x)}{1 + \tan^{2} (x)} = \sin (2 x)$
27308	Find Where Undefined/Discontinuous	(2tan(x))/(sin(2x))=sec(x)^2	$\frac{2 \tan (x)}{\sin (2 x)} = \sec^{2} (x)$
27309	Find Where Undefined/Discontinuous	3^(2x)+3^(x+1)-70=0	$3^{2 x} + 3^{x + 1} - 70 = 0$
27310	Rationalize the Denominator	(sin(x)+tan(x))/(1+cos(x))	$\frac{\sin (x) + \tan (x)}{1 + \cos (x)}$
27311	Rationalize the Denominator	(sin(x)+tan(x))/(cos(x)+1)	$\frac{\sin (x) + \tan (x)}{\cos (x) + 1}$
27312	Find Where Undefined/Discontinuous	x=(2pi)/5	$x = \frac{2 π}{5}$
27313	Rationalize the Denominator	(sin(x))/(1+sec(x))	$\frac{\sin (x)}{1 + \sec (x)}$
27314	Find Where Undefined/Discontinuous	x=-(65pi)/6	$x = - \frac{65 π}{6}$
27315	Find Where Undefined/Discontinuous	x=arccos(60/65)	$x = \arccos (\frac{60}{65})$
27316	Find Where Undefined/Discontinuous	x=arctan(-15/10)	$x = \arctan (- \frac{15}{10})$
27317	Find Where Undefined/Discontinuous	x=-0.9167	$x = - 0.9167$
27318	Find Where Undefined/Discontinuous	x=(40pi)/6	$x = \frac{40 π}{6}$
27319	Find Where Undefined/Discontinuous	x=-(4pi)/3	$x = - \frac{4 π}{3}$
27320	Find Where Undefined/Discontinuous	[0,2pi],tan(x)^2+tan(x)=0	$[0, 2 π] \tan^{2} (x) + \tan (x) = 0$
27321	Find Where Undefined/Discontinuous	(3+4i)^2-2(x-yi)=x+yi	${(3 + 4 i)}^{2} - 2 (x - y i) = x + y i$
27322	Find Where Undefined/Discontinuous	(tan(73)-tan(13))/(1+tan(73)tan(13)) = square root of B	$\frac{\tan (73) - \tan (13)}{1 + \tan (73) \tan (13)} = \sqrt{B}$
27323	Find Where Undefined/Discontinuous	(x+1)^2+(y-2)^2=9	${(x + 1)}^{2} + {(y - 2)}^{2} = 9$
27324	Find Where Undefined/Discontinuous	(z-i)/(z-2)=(3i+1)/2	$\frac{z - i}{z - 2} = \frac{3 i + 1}{2}$
27325	Find Where Undefined/Discontinuous	(cos(x-1)^2)/(cos(x))=-tan(x)sin(x)	$\frac{\cos^{2} (x - 1)}{\cos (x)} = - \tan (x) \sin (x)$
27326	Find Where Undefined/Discontinuous	(cot(x)^2)/(csc(x))=csc(x)-sin(x)	$\frac{\cot^{2} (x)}{\csc (x)} = \csc (x) - \sin (x)$
27327	Rationalize the Denominator	(1/(cos(x)))/(1+cos(x))	$\frac{\frac{1}{\cos (x)}}{1 + \cos (x)}$
27328	Rationalize the Denominator	(1/(sec(x)))/(1+sec(x))	$\frac{\frac{1}{\sec (x)}}{1 + \sec (x)}$
27329	Rationalize the Denominator	(1/(sin(x)))/(1-cos(x))	$\frac{\frac{1}{\sin (x)}}{1 - \cos (x)}$
27330	Rationalize the Denominator	(cos(x)^2-sin(x)^2)/(1-sin(x)^2)	$\frac{\cos^{2} (x) - \sin^{2} (x)}{1 - \sin^{2} (x)}$
27331	Add	sin(40)cos(50)+cos(40)sin(50)	$\sin (40) \cos (50) + \cos (40) \sin (50)$
27332	Add	sin(45)cos(45)+cos(45)sin(45)	$\sin (45) \cos (45) + \cos (45) \sin (45)$
27333	Add	sin(5)cos(25)+cos(5)sin(25)	$\sin (5) \cos (25) + \cos (5) \sin (25)$
27334	Add	sin(50)cos(10)+cos(50)sin(10)	$\sin (50) \cos (10) + \cos (50) \sin (10)$
27335	Add	sin(50)cos(40)+cos(50)sin(40)	$\sin (50) \cos (40) + \cos (50) \sin (40)$
27336	Add	sin(5x)cos(7x)+cos(5x)sin(7x)	$\sin (5 x) \cos (7 x) + \cos (5 x) \sin (7 x)$
27337	Add	sin(6)+sin(25)	$\sin (6) + \sin (25)$
27338	Add	sin(arcsin(1/4))+arctan(-4)	$\sin (\arcsin (\frac{1}{4})) + \arctan (- 4)$
27339	Add	sin(u)+cot(u)cos(u)	$\sin (u) + \cot (u) \cos (u)$
27340	Add	tan(30)+tan(60)	$\tan (30) + \tan (60)$
27341	Add	tan(A+B)+tan(A-B)	$\tan (A + B) + \tan (A - B)$
27342	Subtract	sin(x)-cos(x)	$\sin (x) - \cos (x)$
27343	Subtract	sin((19pi)/3)-sin((3pi)/10)	$\sin (\frac{19 π}{3}) - \sin (\frac{3 π}{10})$
27344	Subtract	sin(2/pi)cos(pi/6)-cos(pi/2)sin(pi/6)	$\sin (\frac{2}{π}) \cos (\frac{π}{6}) - \cos (\frac{π}{2}) \sin (\frac{π}{6})$
27345	Subtract	sin((31pi)/36)cos((11pi)/18)-cos((31pi)/36)sin((11pi)/18)	$\sin (\frac{31 π}{36}) \cos (\frac{11 π}{18}) - \cos (\frac{31 π}{36}) \sin (\frac{11 π}{18})$
27346	Subtract	sin((3pi)/7)cos((11pi)/42)-cos((3pi)/7)sin((11pi)/42)	$\sin (\frac{3 π}{7}) \cos (\frac{11 π}{42}) - \cos (\frac{3 π}{7}) \sin (\frac{11 π}{42})$
27347	Subtract	sin(pi/12)-cos(pi/2)	$\sin (\frac{π}{12}) - \cos (\frac{π}{2})$
27348	Subtract	sin(105)cos(45)-cos(105)sin(45)	$\sin (105) \cos (45) - \cos (105) \sin (45)$
27349	Subtract	sin(121)cos(61)-cos(121)sin(61)	$\sin (121) \cos (61) - \cos (121) \sin (61)$
27350	Subtract	sin(144)cos(24)-cos(144)sin(24)	$\sin (144) \cos (24) - \cos (144) \sin (24)$
27351	Subtract	sin(190)cos(10)-cos(190)sin(10)	$\sin (190) \cos (10) - \cos (190) \sin (10)$
27352	Subtract	sin(2)cos(7)-cos(2)sin(7)	$\sin (2) \cos (7) - \cos (2) \sin (7)$
27353	Subtract	sin(20)cos(80)-cos(20)sin(80)	$\sin (20) \cos (80) - \cos (20) \sin (80)$
27354	Subtract	sin(255)cos(15)-cos(255)sin(15)	$\sin (255) \cos (15) - \cos (255) \sin (15)$
27355	Subtract	sin(3x)-sin(x)	$\sin (3 x) - \sin (x)$
27356	Subtract	sin(45)cos(30)-cos(45)sin(30)	$\sin (45) \cos (30) - \cos (45) \sin (30)$
27357	Subtract	sin(5x)-sin(3x)	$\sin (5 x) - \sin (3 x)$
27358	Subtract	sin(52)cos(13)-cos(52)sin(13)	$\sin (52) \cos (13) - \cos (52) \sin (13)$
27359	Subtract	sin(61)cos(19)-cos(61)sin(19)	$\sin (61) \cos (19) - \cos (61) \sin (19)$
27360	Subtract	sin(72)cos(12)-cos(72)sin(12)	$\sin (72) \cos (12) - \cos (72) \sin (12)$
27361	Subtract	sin(75)cos(15)-cos(75)sin(15)	$\sin (75) \cos (15) - \cos (75) \sin (15)$
27362	Subtract	pi/2-pi/3	$\frac{π}{2} - \frac{π}{3}$
27363	Subtract	1-16/25	$1 - \frac{16}{25}$
27364	Subtract	sin(83)cos(83)-cos(83)sin(83)	$\sin (83) \cos (83) - \cos (83) \sin (83)$
27365	Subtract	sin(x)cos(45)-cos(x)sin(45)	$\sin (x) \cos (45) - \cos (x) \sin (45)$
27366	Subtract	sin(x)-sin(2x)	$\sin (x) - \sin (2 x)$
27367	Subtract	tan(pi/4)-sin(pi/6)	$\tan (\frac{π}{4}) - \sin (\frac{π}{6})$
27368	Multiply	fourth root of fifth root of t	$\sqrt[4]{\sqrt[5]{t}}$
27369	Write in Standard Form	(-3x^2*(7x^2)-8)-(-5x^3+9x^2-8-19)	$(- 3 x^{2} \cdot (7 x^{2}) - 8) - (- 5 x^{3} + 9 x^{2} - 8 - 19)$
27370	Rationalize the Denominator	(tan((5pi)/18-x)+tan((2pi)/9+x))÷(1-tan((5pi)/18-x)tan((3pi)/9+x))	$(\tan (\frac{5 π}{18} - x) + \tan (\frac{2 π}{9} + x)) \div (1 - \tan (\frac{5 π}{18} - x) \tan (\frac{3 π}{9} + x))$
27371	Rationalize the Denominator	((sin(8a)-sin(2))*(cos(2a)-cos(8a)))/(1-cos(6a))	$\frac{(\sin (8 a) - \sin (2)) \cdot (\cos (2 a) - \cos (8 a))}{1 - \cos (6 a)}$
27372	Rationalize the Denominator	(12tan(x))/(1+tan(2(x)))	$\frac{12 \tan (x)}{1 + \tan (2 (x))}$
27373	Rationalize the Denominator	(cos(x)sin(x))/(1-sin(x))	$\frac{\cos (x) \sin (x)}{1 - \sin (x)}$
27374	Rationalize the Denominator	(sin(a)cos(a))/(1-sin(a)^2)	$\frac{\sin (a) \cos (a)}{1 - \sin^{2} (a)}$
27375	Rationalize the Denominator	(cot(x)-tan(x))/(1-2sin(x)^2)	$\frac{\cot (x) - \tan (x)}{1 - 2 \sin^{2} (x)}$
27376	Subtract	-11 square root of 21-11 square root of 21	$- 11 \sqrt{21} - 11 \sqrt{21}$
27377	Rationalize the Denominator	(cot(x)^2)/(1+cot(x)^2)	$\frac{\cot^{2} (x)}{1 + \cot^{2} (x)}$
27378	Rationalize the Denominator	(csc(-x)^2-1)/(1-cos(-x)^2)	$\frac{\csc^{2} (- x) - 1}{1 - \cos^{2} (- x)}$
27379	Rationalize the Denominator	(csc(n/2-x)^2)/(1+tan(x)^2)	$\frac{\csc^{2} (\frac{n}{2} - x)}{1 + \tan^{2} (x)}$
27380	Rationalize the Denominator	(sec(x)^2)/(1-cos(x)^2)	$\frac{\sec^{2} (x)}{1 - \cos^{2} (x)}$
27381	Rationalize the Denominator	(sin(y)^2)/(1-cos(y))	$\frac{\sin^{2} (y)}{1 - \cos (y)}$
27382	Rationalize the Denominator	(tan(x)^2-2tan(x)-3)/(tan(x)+1)	$\frac{\tan^{2} (x) - 2 \tan (x) - 3}{\tan (x) + 1}$
27383	Rationalize the Denominator	(1-tan(x)^2)/(1-tan(x)^4)	$\frac{1 - \tan^{2} (x)}{1 - \tan^{4} (x)}$
27384	Rationalize the Denominator	(1-tan(x)^2)/(1+tan(x)^2)=cos(2x)	$\frac{1 - \tan^{2} (x)}{1 + \tan^{2} (x)} = \cos (2 x)$
27385	Rationalize the Denominator	1/(1-csc(x)^2)	$\frac{1}{1 - \csc^{2} (x)}$
27386	Rationalize the Denominator	(1+cos(x))/(1-cos(x))	$\frac{1 + \cos (x)}{1 - \cos (x)}$
27387	Rationalize the Denominator	(1+sec(x))/(1-cos(x))	$\frac{1 + \sec (x)}{1 - \cos (x)}$
27388	Rationalize the Denominator	1/(1+sin(x))	$\frac{1}{1 + \sin (x)}$
27389	Rationalize the Denominator	1/(1-2sin(x)^2)	$\frac{1}{1 - 2 \sin^{2} (x)}$
27390	Rationalize the Denominator	1/(1-tan(x))	$\frac{1}{1 - \tan (x)}$
27391	Rationalize the Denominator	(1+cos(x))/(1+cos(x))	$\frac{1 + \cos (x)}{1 + \cos (x)}$
27392	Rationalize the Denominator	(sin(x))/(cos(x)+1)*(cos(-1))/(cos(x)-1)	$\frac{\sin (x)}{\cos (x) + 1} \cdot \frac{\cos (- 1)}{\cos (x) - 1}$
27393	Rationalize the Denominator	(3tan(x))/(1+cos(x))	$\frac{3 \tan (x)}{1 + \cos (x)}$
27394	Rationalize the Denominator	5/(sec(x)+1)	$\frac{5}{\sec (x) + 1}$
27395	Rationalize the Denominator	(csc(y)+1)/(csc(y)+1)	$\frac{\csc (y) + 1}{\csc (y) + 1}$
27396	Rationalize the Denominator	(sec(x))/(1+tan(x)^2)	$\frac{\sec (x)}{1 + \tan^{2} (x)}$
27397	Rationalize the Denominator	(cos(x))/(1-csc(x))*(1+csc(x))/(1+csc(x))	$\frac{\cos (x)}{1 - \csc (x)} \cdot \frac{1 + \csc (x)}{1 + \csc (x)}$
27398	Rationalize the Denominator	(cos(x))/(1-csc(x))=0	$\frac{\cos (x)}{1 - \csc (x)} = 0$
27399	Rationalize the Denominator	(cot(x))/(1+sin(x))	$\frac{\cot (x)}{1 + \sin (x)}$
27400	Rationalize the Denominator	(csc(b))/(1+cot(b)^2)	$\frac{\csc (b)}{1 + \cot^{2} (b)}$