Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5201	Solve for ?	sin(x)+ square root of 3cos(x)=1	$\sin (x) + \sqrt{3} \cos (x) = 1$
5202	Solve for ?	sin(x)=1/6	$\sin (x) = \frac{1}{6}$
5203	Solve for ?	sin(x)=-12/13	$\sin (x) = - \frac{12}{13}$
5204	Solve for ?	sin(x)=17/23	$\sin (x) = \frac{17}{23}$
5205	Solve for ?	sin(x)=3	$\sin (x) = 3$
5206	Solve for ?	sin(x)=0.2974	$\sin (x) = 0.2974$
5207	Solve for ?	sin(x)=-4/7	$\sin (x) = - \frac{4}{7}$
5208	Solve for ?	sin(x)=3/7	$\sin (x) = \frac{3}{7}$
5209	Solve for ?	tan(x)=3	$\tan (x) = 3$
5210	Solve for ?	tan(x)cos(x)=sin(x)	$\tan (x) \cos (x) = \sin (x)$
5211	Solve for ?	tan(x)=11	$\tan (x) = 11$
5212	Solve for ?	tan(x)=12	$\tan (x) = 12$
5213	Solve for ?	tan(x/2-pi/6)=1	$\tan (\frac{x}{2} - \frac{π}{6}) = 1$
5214	Solve for ?	tan(x/2-pi/3)=1	$\tan (\frac{x}{2} - \frac{π}{3}) = 1$
5215	Solve for ?	tan(x/2+pi/6)=-1	$\tan (\frac{x}{2} + \frac{π}{6}) = - 1$
5216	Solve for ?	tan(pi-x)=-tan(x)	$\tan (π - x) = - \tan (x)$
5217	Solve for ?	y=2sin(x)	$y = 2 \sin (x)$
5218	Solve for ?	y=cos(x)	$y = \cos (x)$
5219	Solve for ?	y=4sin(x)	$y = 4 \sin (x)$
5220	Solve for a	cos(a)=1.77/3.93	$\cos (a) = \frac{1.77}{3.93}$
5221	Simplify	(2-tan(x))/(2csc(x)-sec(x))	$\frac{2 - \tan (x)}{2 \csc (x) - \sec (x)}$
5222	Simplify	(2tan(15))/(1-tan(15)^2)	$\frac{2 \tan (15)}{1 - \tan^{2} (15)}$
5223	Simplify	1/(sin(x)-1)-1/(sin(x)+1)	$\frac{1}{\sin (x) - 1} - \frac{1}{\sin (x) + 1}$
5224	Simplify	1/(sin(x))	$\frac{1}{\sin (x)}$
5225	Simplify	1/(tan(x)^2)+cot(x)tan(x)	$\frac{1}{\tan^{2} (x)} + \cot (x) \tan (x)$
5226	Simplify	1/(1-sin(x))	$\frac{1}{1 - \sin (x)}$
5227	Simplify	1/(cos(x)sin(x))	$\frac{1}{\cos (x) \sin (x)}$
5228	Simplify	1/2*sin(2x)	$\frac{1}{2} \cdot \sin (2 x)$
5229	Simplify	(sin(x)^3+cos(x)^3)/(sin(x)+cos(x))	$\frac{\sin^{3} (x) + \cos^{3} (x)}{\sin (x) + \cos (x)}$
5230	Simplify	(tan(x)^2)/(sec(x)+1)+1	$\frac{\tan^{2} (x)}{\sec (x) + 1} + 1$
5231	Simplify	((csc(y)+cot(y))(csc(y)-cot(y)))/(csc(y))	$\frac{(\csc (y) + \cot (y)) (\csc (y) - \cot (y))}{\csc (y)}$
5232	Simplify	(cos(x)+sin(x))^2	${(\cos (x) + \sin (x))}^{2}$
5233	Simplify	(cot(x)-csc(x))^2	${(\cot (x) - \csc (x))}^{2}$
5234	Simplify	(cos(2x)+sin(2x))^2	${(\cos (2 x) + \sin (2 x))}^{2}$
5235	Simplify	(sin(pi/2-x)^2)/(sin(x))	$\frac{\sin^{2} (\frac{π}{2} - x)}{\sin (x)}$
5236	Simplify	(sin(x)^2)/(tan(x)^2)	$\frac{\sin^{2} (x)}{\tan^{2} (x)}$
5237	Simplify	(cos(x)^5sin(x))/(sin(x)^5cos(x))	$\frac{\cos^{5} (x) \sin (x)}{\sin^{5} (x) \cos (x)}$
5238	Simplify	(pi/4)/3	$\frac{\frac{π}{4}}{3}$
5239	Simplify	(sec(x)^2)/(tan(x)^2)	$\frac{\sec^{2} (x)}{\tan^{2} (x)}$
5240	Simplify	(cos((pi/2)-x)^2)/(cos(x))	$\frac{\cos^{2} ((\frac{π}{2}) - x)}{\cos (x)}$
5241	Simplify	(cos(x)^2)/(sin(x)^2)+csc(x)sin(x)	$\frac{\cos^{2} (x)}{\sin^{2} (x)} + \csc (x) \sin (x)$
5242	Simplify	(cos(x)^2-4)/(cos(x)-2)	$\frac{\cos^{2} (x) - 4}{\cos (x) - 2}$
5243	Simplify	(1+i)^20	${(1 + i)}^{20}$
5244	Simplify	(2i^3)^3	${(2 i^{3})}^{3}$
5245	Simplify	(3x^-4y^5)/((2x^3y^-7)^-2)	$\frac{3 x^{- 4} y^{5}}{{(2 x^{3} y^{- 7})}^{- 2}}$
5246	Simplify	(-3pi)/4	$\frac{- 3 π}{4}$
5247	Simplify	(3pi)/8	$\frac{3 π}{8}$
5248	Simplify	(7pi)/6-pi	$\frac{7 π}{6} - π$
5249	Simplify	(7pi)/12	$\frac{7 π}{12}$
5250	Simplify	(cos(x))/(sec(x)+1)+(cos(x))/(sec(x)-1)	$\frac{\cos (x)}{\sec (x) + 1} + \frac{\cos (x)}{\sec (x) - 1}$
5251	Simplify	(cos(x)-sin(x))/(cos(x))+(sin(x)-cos(x))/(sin(x))	$\frac{\cos (x) - \sin (x)}{\cos (x)} + \frac{\sin (x) - \cos (x)}{\sin (x)}$
5252	Simplify	cos(pi/7)^2-sin(pi/7)^2	$\cos^{2} (\frac{π}{7}) - \sin^{2} (\frac{π}{7})$
5253	Simplify	cos(x)^2sec(x)csc(x)	$\cos^{2} (x) \sec (x) \csc (x)$
5254	Simplify	(cos(x))/(tan(x)cot(x))	$\frac{\cos (x)}{\tan (x) \cot (x)}$
5255	Simplify	(cos(x)csc(x))/(tan(x))	$\frac{\cos (x) \csc (x)}{\tan (x)}$
5256	Simplify	(cot(x)+1)/(cot(x)-1)	$\frac{\cot (x) + 1}{\cot (x) - 1}$
5257	Simplify	cot(x)^2-csc(-x)^2	$\cot^{2} (x) - \csc^{2} (- x)$
5258	Simplify	cot(x)^2-cot(x)^2*cos(x)^2	$\cot^{2} (x) - \cot^{2} (x) \cdot \cos^{2} (x)$
5259	Simplify	(cot(x)cos(x))/(sin(x))*(tan(x))/((sin(x))/(cos(x)tan(x)))	$\frac{\cot (x) \cos (x)}{\sin (x)} \cdot \frac{\tan (x)}{\frac{\sin (x)}{\cos (x) \tan (x)}}$
5260	Simplify	(cot(x))/(sec(x))	$\frac{\cot (x)}{\sec (x)}$
5261	Simplify	(cot(x))/(1/(sec(x)))	$\frac{\cot (x)}{\frac{1}{\sec (x)}}$
5262	Simplify	(cot(x)-cot(x)sec(x)^2)/(tan(x)cot(x))	$\frac{\cot (x) - \cot (x) \sec^{2} (x)}{\tan (x) \cot (x)}$
5263	Simplify	cos(x)^4-2cos(x)^2+1	$\cos^{4} (x) - 2 \cos^{2} (x) + 1$
5264	Simplify	cos(x)^2+csc(x)^2-1	$\cos^{2} (x) + \csc^{2} (x) - 1$
5265	Simplify	(csc(-x))/(cot(-x))	$\frac{\csc (- x)}{\cot (- x)}$
5266	Simplify	(csc(x))/(cot(x)+tan(x))	$\frac{\csc (x)}{\cot (x) + \tan (x)}$
5267	Simplify	tan(x)^2sin(x)^2	$\tan^{2} (x) \sin^{2} (x)$
5268	Simplify	tan((5pi)/4)^2-sec((5pi)/4)^2	$\tan^{2} (\frac{5 π}{4}) - \sec^{2} (\frac{5 π}{4})$
5269	Simplify	tan((7pi)/4)^2-sec((7pi)/4)^2	$\tan^{2} (\frac{7 π}{4}) - \sec^{2} (\frac{7 π}{4})$
5270	Simplify	(tan(x)csc(x))/(sec(x))	$\frac{\tan (x) \csc (x)}{\sec (x)}$
5271	Simplify	sin(x)^2cot(x)csc(x)	$\sin^{2} (x) \cot (x) \csc (x)$
5272	Simplify	sin(x)^6	$\sin^{6} (x)$
5273	Simplify	(tan(x)+cot(x))/(csc(x))	$\frac{\tan (x) + \cot (x)}{\csc (x)}$
5274	Simplify	(tan(x))/(csc(x)+cot(x))	$\frac{\tan (x)}{\csc (x) + \cot (x)}$
5275	Simplify	(tan(x))/(sec(x)-cos(x))	$\frac{\tan (x)}{\sec (x) - \cos (x)}$
5276	Simplify	sec(x)^2+cot(x)^2	$\sec^{2} (x) + \cot^{2} (x)$
5277	Simplify	arcsec(x)	$arcsec (x)$
5278	Simplify	(sin(x))/(cos(x)-1)*(cos(x)+1)/(cos(x)+1)	$\frac{\sin (x)}{\cos (x) - 1} \cdot \frac{\cos (x) + 1}{\cos (x) + 1}$
5279	Simplify	(sin(x))/(csc(x))+(cos(x))/(sec(x))	$\frac{\sin (x)}{\csc (x)} + \frac{\cos (x)}{\sec (x)}$
5280	Simplify	(sin(x))/(cos(x))-(cos(x))/(sin(x))	$\frac{\sin (x)}{\cos (x)} - \frac{\cos (x)}{\sin (x)}$
5281	Simplify	(sin(2x))/(cos(2x)-cos(x)^2)	$\frac{\sin (2 x)}{\cos (2 x) - \cos^{2} (x)}$
5282	Simplify	(sec(x))/(csc(x))+(sin(x))/(cos(x))	$\frac{\sec (x)}{\csc (x)} + \frac{\sin (x)}{\cos (x)}$
5283	Simplify	(sec(x))/(sin(x))-(sin(x))/(cos(x))	$\frac{\sec (x)}{\sin (x)} - \frac{\sin (x)}{\cos (x)}$
5284	Simplify	(sec(x))/(tan(x)csc(x))	$\frac{\sec (x)}{\tan (x) \csc (x)}$
5285	Simplify	(sec(x)-cos(x))/(sin(x))	$\frac{\sec (x) - \cos (x)}{\sin (x)}$
5286	Simplify	pi/4+pi/2	$\frac{π}{4} + \frac{π}{2}$
5287	Simplify	sin(t)^2+cos(t)^2+tan(t)^2	$\sin^{2} (t) + \cos^{2} (t) + \tan^{2} (t)$
5288	Simplify	sin(x)^2*sec(x)^2-sin(x)^2	$\sin^{2} (x) \cdot \sec^{2} (x) - \sin^{2} (x)$
5289	Simplify	sin(20)^2+cos(20)^2	$\sin^{2} (20) + \cos^{2} (20)$
5290	Simplify	sin(60)^2+cos(60)^2	$\sin^{2} (60) + \cos^{2} (60)$
5291	Simplify	(sin(3x))/(sin(x))	$\frac{\sin (3 x)}{\sin (x)}$
5292	Simplify	(sin(u))/(cos(u))	$\frac{\sin (u)}{\cos (u)}$
5293	Simplify	(sin(x)+tan(x))/(1+cos(x))	$\frac{\sin (x) + \tan (x)}{1 + \cos (x)}$
5294	Simplify	(sin(x))/(sin(x)+cos(x))	$\frac{\sin (x)}{\sin (x) + \cos (x)}$
5295	Simplify	(sin(x))/(csc(x)+cot(x))	$\frac{\sin (x)}{\csc (x) + \cot (x)}$
5296	Solve for y	y=2^3	$y = 2^{3}$
5297	Find the Quadrant of the Angle	480 degrees	$480 °$
5298	Solve for ?	cos(theta)=( square root of 2)/2	$\cos (θ) = \frac{\sqrt{2}}{2}$
5299	Convert from Radians to Degrees	5rad	$5$ radians
5300	Evaluate	tan(90 degrees )	$\tan (90 °)$