Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15201	Simplify	(5-tan(x))/(5csc(x)-sec(x))	$\frac{5 - \tan (x)}{5 \csc (x) - \sec (x)}$
15202	Simplify	6.8^2+10.5^22-26.8*(10.5cos(25.4))	${6.8}^{2} + {10.5}^{2} \cdot 2 - 2 \cdot 6.8 \cdot (10.5 \cos (25.4))$
15203	Simplify	(5pi)/6+pi	$\frac{5 π}{6} + π$
15204	Simplify	(5y)/(xz)+3/(x^(2y))	$\frac{5 y}{x z} + \frac{3}{x^{2 y}}$
15205	Simplify	6/(tan(x)+sec(x))	$\frac{6}{\tan (x) + \sec (x)}$
15206	Simplify	6/(y-5)-(y+5)/(y^2-25)	$\frac{6}{y - 5} - \frac{y + 5}{y^{2} - 25}$
15207	Simplify	7/(tan(x)+sec(x))	$\frac{7}{\tan (x) + \sec (x)}$
15208	Simplify	(5pi)/9	$\frac{5 π}{9}$
15209	Simplify	(6tan(x)*(6cot(x)))/(6sec(x))	$\frac{6 \tan (x) \cdot (6 \cot (x))}{6 \sec (x)}$
15210	Simplify	(6pi)/5	$\frac{6 π}{5}$
15211	Simplify	(5x-5)/x*(6x^2)/(9x-9)	$\frac{5 x - 5}{x} \cdot \frac{6 x^{2}}{9 x - 9}$
15212	Simplify	(6b)/(b-4)-1/(b+1)	$\frac{6 b}{b - 4} - \frac{1}{b + 1}$
15213	Simplify	(6x)/(x^(1/2))	$\frac{6 x}{x^{\frac{1}{2}}}$
15214	Simplify	(6x-42)/(-7x)*77/(63-9x)	$\frac{6 x - 42}{- 7 x} \cdot \frac{77}{63 - 9 x}$
15215	Simplify	-(7pi)/6	$- \frac{7 π}{6}$
15216	Simplify	(7pi)/3	$\frac{7 π}{3}$
15217	Simplify	(7pi)/12*180/pi	$\frac{7 π}{12} \cdot \frac{180}{π}$
15218	Simplify	8/(5x)+3/(4x)	$\frac{8}{5 x} + \frac{3}{4 x}$
15219	Simplify	(8x)/(3b)*(9bx)/(2x^5)	$\frac{8 x}{3 b} \cdot \frac{9 b x}{2 x^{5}}$
15220	Simplify	(9-cos(x)^2)/(3-cos(x))	$\frac{9 - \cos^{2} (x)}{3 - \cos (x)}$
15221	Simplify	(7cos(7pi+isin(7pi)))/(5cos(5pi+isin(5pi)))	$\frac{7 \cos (7 π + i \sin (7 π))}{5 \cos (5 π + i \sin (5 π))}$
15222	Simplify	(cos(x))/(sin(x)^2)+(cos(x))/(sin(x))	$\frac{\cos (x)}{\sin^{2} (x)} + \frac{\cos (x)}{\sin (x)}$
15223	Simplify	(cos(x))/(sec(x)sin(x))	$\frac{\cos (x)}{\sec (x) \sin (x)}$
15224	Simplify	(cos(x))/(sin(x))*(1/(cos(x))-(sin(x))/(cos(x)))	$\frac{\cos (x)}{\sin (x)} \cdot (\frac{1}{\cos (x)} - \frac{\sin (x)}{\cos (x)})$
15225	Simplify	(cos(x))/(sec(x)-tan(x))	$\frac{\cos (x)}{\sec (x) - \tan (x)}$
15226	Simplify	(cos(x))/(csc(x))	$\frac{\cos (x)}{\csc (x)}$
15227	Simplify	(cos(a-b))/(sin(a)cos(b))	$\frac{\cos (a - b)}{\sin (a) \cos (b)}$
15228	Simplify	(cos(u)+1)/(sin(u))+(sin(u))/(cos(u)+1)	$\frac{\cos (u) + 1}{\sin (u)} + \frac{\sin (u)}{\cos (u) + 1}$
15229	Simplify	(cos(u)sec(u))/(tan(u))	$\frac{\cos (u) \sec (u)}{\tan (u)}$
15230	Simplify	(cos(x))/(sec(x)+tan(x))	$\frac{\cos (x)}{\sec (x) + \tan (x)}$
15231	Simplify	(cos(a))/(1-tan(a))+(sin(a))/(1-cot(a))	$\frac{\cos (a)}{1 - \tan (a)} + \frac{\sin (a)}{1 - \cot (a)}$
15232	Simplify	-(cos(-x))/(sin(-x))+(cos(x))/(sin(-x))	$- \frac{\cos (- x)}{\sin (- x)} + \frac{\cos (x)}{\sin (- x)}$
15233	Simplify	(cos(y))/(1+sin(y))+(1+sin(y))/(cos(y))	$\frac{\cos (y)}{1 + \sin (y)} + \frac{1 + \sin (y)}{\cos (y)}$
15234	Simplify	(cos(y)+1/ysin(x)-1/ysin(y))/(1/ycos(x)+xcos(y)-x/ysin(y))	$\frac{\cos (y) + \frac{1}{y} \cdot \sin (x) - \frac{1}{y} \cdot \sin (y)}{\frac{1}{y} \cdot \cos (x) + x \cos (y) - \frac{x}{y} \cdot \sin (y)}$
15235	Simplify	arccos(0.700)	$\arccos (0.7)$
15236	Simplify	cos(x)^3-sin(x)^3	$\cos^{3} (x) - \sin^{3} (x)$
15237	Simplify	(cos(x)cos(y)-sin(x)sin(y))/(sin(x)cos(y)+cos(x)sin(y))	$\frac{\cos (x) \cos (y) - \sin (x) \sin (y)}{\sin (x) \cos (y) + \cos (x) \sin (y)}$
15238	Simplify	(cos(x)cot(x))/(1-sin(x))	$\frac{\cos (x) \cot (x)}{1 - \sin (x)}$
15239	Simplify	cos(3)^2-sin(3)^2	$\cos^{2} (3) - \sin^{2} (3)$
15240	Simplify	cos(3x)^2-sin(3x)^2	$\cos^{2} (3 x) - \sin^{2} (3 x)$
15241	Simplify	cos(2a)^2	$\cos^{2} (2 a)$
15242	Simplify	cos(39)^2-sin(39)^2	$\cos^{2} (39) - \sin^{2} (39)$
15243	Simplify	cos(3a)^2-sin(3a)^2	$\cos^{2} (3 a) - \sin^{2} (3 a)$
15244	Simplify	cos(1)^2-sin(1)^2	$\cos^{2} (1) - \sin^{2} (1)$
15245	Simplify	cos(112.5)^2-sin(112.5)^2	$\cos^{2} (112.5) - \sin^{2} (112.5)$
15246	Simplify	cos(135)^2-2cos(135)-1	$\cos^{2} (135) - 2 \cos (135) - 1$
15247	Simplify	cos(14)^2-sin(14)^2	$\cos^{2} (14) - \sin^{2} (14)$
15248	Simplify	cos(120)^2-sin(120)^2	$\cos^{2} (120) - \sin^{2} (120)$
15249	Simplify	cos(15)^2+cos(75)^2	$\cos^{2} (15) + \cos^{2} (75)$
15250	Simplify	cos(157.5)^2-sin(157.5)^2	$\cos^{2} (157.5) - \sin^{2} (157.5)$
15251	Simplify	cos(165)^2-sin(165)^2	$\cos^{2} (165) - \sin^{2} (165)$
15252	Simplify	cos(15/17)^2-sin(8/17)^2	$\cos^{2} (\frac{15}{17}) - \sin^{2} (\frac{8}{17})$
15253	Simplify	cos(24/25)^2-sin(7/25)^2	$\cos^{2} (\frac{24}{25}) - \sin^{2} (\frac{7}{25})$
15254	Simplify	cos(pi/11)^2-sin(pi/11)^2	$\cos^{2} (\frac{π}{11}) - \sin^{2} (\frac{π}{11})$
15255	Simplify	cos(pi/12)^2-sin(pi/12)^2	$\cos^{2} (\frac{π}{12}) - \sin^{2} (\frac{π}{12})$
15256	Simplify	cos(pi/6)^2-sin(pi/2)^2	$\cos^{2} (\frac{π}{6}) - \sin^{2} (\frac{π}{2})$
15257	Simplify	cos(x/5)^2-sin(x/5)^2	$\cos^{2} (\frac{x}{5}) - \sin^{2} (\frac{x}{5})$
15258	Simplify	cos(3/5)^2-sin(4/5)^2	$\cos^{2} (\frac{3}{5}) - \sin^{2} (\frac{4}{5})$
15259	Simplify	arccos(1-(1440^2)/(2(2220)^2))	$\arccos (1 - \frac{1440^{2}}{2 {(2220)}^{2}})$
15260	Simplify	arccos(cos(pi/10))	$\arccos (\cos (\frac{π}{10}))$
15261	Simplify	arccos(sin((7pi)/4))	$\arccos (\sin (\frac{7 π}{4}))$
15262	Simplify	arccos(cos(-pi/6))	$\arccos (\cos (- \frac{π}{6}))$
15263	Simplify	arccos(arccos(3pi))	$\arccos (\arccos (3 π))$
15264	Simplify	arccos(6/7)	$\arccos (\frac{6}{7})$
15265	Simplify	(cos(3x)-cos(5x))/(sin(3x)+sin(5x))	$\frac{\cos (3 x) - \cos (5 x)}{\sin (3 x) + \sin (5 x)}$
15266	Simplify	(cos(2x))/2	$\frac{\cos (2 x)}{2}$
15267	Simplify	(cos(3x))/(cos(x))	$\frac{\cos (3 x)}{\cos (x)}$
15268	Simplify	(cos(6a)+cos(2a))/(2sin(4a)*cos(2a))	$\frac{\cos (6 a) + \cos (2 a)}{2 \sin (4 a) \cdot \cos (2 a)}$
15269	Simplify	(cos(pi/2-x))/(csc(x))+cos(x)^2	$\frac{\cos (\frac{π}{2} - x)}{\csc (x)} + \cos^{2} (x)$
15270	Simplify	(cos(23)x)/(cos(19))	$\frac{\cos (23) x}{\cos (19)}$
15271	Simplify	(cos(2t))/(cos(t)+sin(t))	$\frac{\cos (2 t)}{\cos (t) + \sin (t)}$
15272	Simplify	(cos(2x)-1)/(1+cos(x))	$\frac{\cos (2 x) - 1}{1 + \cos (x)}$
15273	Simplify	(8pi)/3*180/pi	$\frac{8 π}{3} \cdot \frac{180}{π}$
15274	Simplify	(9pi)/2	$\frac{9 π}{2}$
15275	Simplify	(cos(x))/(sin(x))+1/(cos(x))	$\frac{\cos (x)}{\sin (x)} + \frac{1}{\cos (x)}$
15276	Simplify	(cos(x)-sin(x))/(sin(x))+(cos(x)+sin(x))/(cos(x))	$\frac{\cos (x) - \sin (x)}{\sin (x)} + \frac{\cos (x) + \sin (x)}{\cos (x)}$
15277	Simplify	(cos(pi/2-x))/(csc(x))	$\frac{\cos (\frac{π}{2} - x)}{\csc (x)}$
15278	Simplify	(9.4sin(79.3))/11.2	$\frac{9.4 \sin (79.3)}{11.2}$
15279	Simplify	b^4(2b^2+b)	$b^{4} (2 b^{2} + b)$
15280	Simplify	(a-1)/(1-a)+(1-b)/(b-1)	$\frac{a - 1}{1 - a} + \frac{1 - b}{b - 1}$
15281	Simplify	(cot(x))/(sin(x))	$\frac{\cot (x)}{\sin (x)}$
15282	Simplify	(cot(x)+cos(x)csc(x))/(cos(x))	$\frac{\cot (x) + \cos (x) \csc (x)}{\cos (x)}$
15283	Simplify	(cot(x)-tan(x))/(1-tan(x))-cot(x)	$\frac{\cot (x) - \tan (x)}{1 - \tan (x)} - \cot (x)$
15284	Simplify	arccot(0)	$arccot (0)$
15285	Simplify	cot(a)^2cos(a)^2-cot(a)^2	$\cot^{2} (a) \cos^{2} (a) - \cot^{2} (a)$
15286	Simplify	(cot(x)sin(x))/(csc(x)cos(x))	$\frac{\cot (x) \sin (x)}{\csc (x) \cos (x)}$
15287	Simplify	arccot(x)	$arccot (x)$
15288	Simplify	cot(x)^2tan(x)^2+cot(x)^2	$\cot^{2} (x) \tan^{2} (x) + \cot^{2} (x)$
15289	Simplify	cot(x)^2-1/(sin(x)^2)	$\cot^{2} (x) - \frac{1}{\sin^{2} (x)}$
15290	Simplify	cot(x)^2-cot(x)^2cos(x)^2	$\cot^{2} (x) - \cot^{2} (x) \cos^{2} (x)$
15291	Simplify	cot(r)^2*(1+tan(r)^2)	$\cot^{2} (r) \cdot (1 + \tan^{2} (r))$
15292	Simplify	(cot(t)+csc(t))/(cot(t)-csc(t))	$\frac{\cot (t) + \csc (t)}{\cot (t) - \csc (t)}$
15293	Simplify	(cot(x))/8+(cot(x))/7	$\frac{\cot (x)}{8} + \frac{\cot (x)}{7}$
15294	Simplify	(cot(-x))/(csc(x))	$\frac{\cot (- x)}{\csc (x)}$
15295	Simplify	(cot(x))/(cos(x)csc(x))	$\frac{\cot (x)}{\cos (x) \csc (x)}$
15296	Simplify	(cot(x/2)-tan(x/2))/(sec(x/2)csc(x/2))	$\frac{\cot (\frac{x}{2}) - \tan (\frac{x}{2})}{\sec (\frac{x}{2}) \csc (\frac{x}{2})}$
15297	Simplify	cos(x)^4+sin(x)^4	$\cos^{4} (x) + \sin^{4} (x)$
15298	Simplify	cos(a)^6+sin(a)^6	$\cos^{6} (a) + \sin^{6} (a)$
15299	Simplify	cos(x)^6	$\cos^{6} (x)$
15300	Simplify	cos(x)^2-3sin(x)^2	$\cos^{2} (x) - 3 \sin^{2} (x)$