Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
18201	Expand the Trigonometric Expression	(cos(x))/(sin(x))	$\frac{\cos (x)}{\sin (x)}$
18202	Expand the Trigonometric Expression	cos(x)^3	$\cos^{3} (x)$
18203	Expand the Trigonometric Expression	cos(5x)^2	$\cos^{2} (5 x)$
18204	Expand the Trigonometric Expression	cos(75)^2-sin(75)^2	$\cos^{2} (75) - \sin^{2} (75)$
18205	Expand the Trigonometric Expression	cos(x)^6	$\cos^{6} (x)$
18206	Expand the Trigonometric Expression	cos(120-45)	$\cos (120 - 45)$
18207	Expand the Trigonometric Expression	cos(pi/2+x)	$\cos (\frac{π}{2} + x)$
18208	Expand the Trigonometric Expression	cos(x^4)-sin(x^4)	$\cos (x^{4}) - \sin (x^{4})$
18209	Expand the Trigonometric Expression	cos(25)cos(15)-sin(25)sin(15)	$\cos (25) \cos (15) - \sin (25) \sin (15)$
18210	Expand the Trigonometric Expression	-3 square root of 2+3 square root of 2i	$- 3 \sqrt{2} + 3 \sqrt{2 i}$
18211	Expand the Trigonometric Expression	cos(270-A)	$\cos (270 - A)$
18212	Expand the Trigonometric Expression	cos(2arcsin(x))	$\cos (2 \arcsin (x))$
18213	Expand the Trigonometric Expression	cos(2x)cos(x)	$\cos (2 x) \cos (x)$
18214	Expand the Trigonometric Expression	cos(30+x)	$\cos (30 + x)$
18215	Expand the Trigonometric Expression	cos(2arctan(x))	$\cos (2 \arctan (x))$
18216	Expand the Trigonometric Expression	cos(2pit-pi/4)	$\cos (2 π t - \frac{π}{4})$
18217	Expand the Trigonometric Expression	cos(60+x)	$\cos (60 + x)$
18218	Expand the Trigonometric Expression	cos(6x)+cos(4x)	$\cos (6 x) + \cos (4 x)$
18219	Expand the Trigonometric Expression	cos(2x)-sin(x)	$\cos (2 x) - \sin (x)$
18220	Expand the Trigonometric Expression	cos(45-30)	$\cos (45 - 30)$
18221	Expand the Trigonometric Expression	cos(3x)-cos(x)	$\cos (3 x) - \cos (x)$
18222	Expand the Trigonometric Expression	cos(45+x)	$\cos (45 + x)$
18223	Expand the Trigonometric Expression	cos(6x)-cos(2x)	$\cos (6 x) - \cos (2 x)$
18224	Expand the Trigonometric Expression	cos(80+x)cos(2+x)+sin(80+x)sin(20+x)	$\cos (80 + x) \cdot \cos (2 + x) + \sin (80 + x) \cdot \sin (20 + x)$
18225	Expand the Trigonometric Expression	cos(a+(3pi)/2)	$\cos (a + \frac{3 π}{2})$
18226	Expand the Trigonometric Expression	cos(sin(-1x))	$\cos (\sin (- 1 x))$
18227	Expand the Trigonometric Expression	cos(-u)	$\cos (- u)$
18228	Expand the Trigonometric Expression	cos(nx)	$\cos (n x)$
18229	Expand the Trigonometric Expression	cos(pi+x)	$\cos (π + x)$
18230	Expand the Trigonometric Expression	cos(A-B)+isin(A-B)	$\cos (A - B) + i \sin (A - B)$
18231	Expand the Trigonometric Expression	cos(x+180)	$\cos (x + 180)$
18232	Expand the Trigonometric Expression	cos(x+90)	$\cos (x + 90)$
18233	Expand the Trigonometric Expression	(cos(x)*1)/2	$\frac{\cos (x) \cdot 1}{2}$
18234	Expand the Trigonometric Expression	cos((3pi)/2-x)	$\cos (\frac{3 π}{2} - x)$
18235	Expand the Trigonometric Expression	cos(x-pi)	$\cos (x - π)$
18236	Expand the Trigonometric Expression	cos(3/5)	$\cos (\frac{3}{5})$
18237	Expand the Trigonometric Expression	cos((7pi)/12)+cos(pi/12)	$\cos (\frac{7 π}{12}) + \cos (\frac{π}{12})$
18238	Expand the Trigonometric Expression	cos(a/2)	$\cos (\frac{a}{2})$
18239	Expand the Trigonometric Expression	cos(pi/12)	$\cos (\frac{π}{12})$
18240	Expand the Trigonometric Expression	cos(pi/36)cos((35pi)/36)-sin((35pi)/36)sin(pi/36)	$\cos (\frac{π}{36}) \cdot \cos (\frac{35 π}{36}) - \sin (\frac{35 π}{36}) \cdot \sin (\frac{π}{36})$
18241	Expand the Trigonometric Expression	9sin(x)^4	$9 \sin^{4} (x)$
18242	Expand the Trigonometric Expression	2tan(a)cos(b)	$2 \tan (a) \cos (b)$
18243	Expand the Trigonometric Expression	225 degrees	$225 °$
18244	Expand the Trigonometric Expression	2cos(x)	$2 \cos (x)$
18245	Expand the Trigonometric Expression	2cos(3x)	$2 \cos (3 x)$
18246	Expand the Trigonometric Expression	2-2 square root of 3i	$2 - 2 \sqrt{3 i}$
18247	Expand the Trigonometric Expression	2cot(2x)	$2 \cot (2 x)$
18248	Expand the Trigonometric Expression	2csc(x)	$2 \csc (x)$
18249	Expand the Trigonometric Expression	1-cos(12x)	$1 - \cos (12 x)$
18250	Expand the Trigonometric Expression	2cos(x/2)^2-1	$2 \cos^{2} (\frac{x}{2}) - 1$
18251	Expand the Trigonometric Expression	2cos(15)^2-1	$2 \cos^{2} (15) - 1$
18252	Expand the Trigonometric Expression	2cos(157.5)^2-1	$2 \cos^{2} (157.5) - 1$
18253	Expand the Trigonometric Expression	1-2sin(x)^2	$1 - 2 \sin^{2} (x)$
18254	Expand the Trigonometric Expression	210 degrees	$210 °$
18255	Expand the Trigonometric Expression	5x^3	$5 x^{3}$
18256	Expand the Trigonometric Expression	51 degrees	$51 °$
18257	Expand the Trigonometric Expression	45-45-90	$45 - 45 - 90$
18258	Expand the Trigonometric Expression	4cos(3x)cos(3x)	$4 \cos (3 x) \cos (3 x)$
18259	Expand the Trigonometric Expression	4-4i	$4 - 4 i$
18260	Expand the Trigonometric Expression	45 degrees	$45 °$
18261	Expand the Trigonometric Expression	4sin(2x)cos(2x)	$4 \sin (2 x) \cos (2 x)$
18262	Expand the Trigonometric Expression	4sin(x)cos(x)-8sin(x)^3cos(x)	$4 \sin (x) \cos (x) - 8 \sin^{3} (x) \cos (x)$
18263	Expand the Trigonometric Expression	3sin(x)^2cos(x)^2	$3 \sin^{2} (x) \cos^{2} (x)$
18264	Expand the Trigonometric Expression	2cos(x)sin(y)	$2 \cos (x) \sin (y)$
18265	Expand the Trigonometric Expression	3cos(2x)	$3 \cos (2 x)$
18266	Expand the Trigonometric Expression	30 degrees	$30 °$
18267	Expand the Trigonometric Expression	3cos(x)cos(2x)	$3 \cos (x) \cos (2 x)$
18268	Expand the Trigonometric Expression	4sin(x)^4	$4 \sin^{4} (x)$
18269	Expand the Trigonometric Expression	3sin(x)-4sin(x)^3	$3 \sin (x) - 4 \sin^{3} (x)$
18270	Expand the Trigonometric Expression	3sin(x)cos(x)	$3 \sin (x) \cos (x)$
18271	Find the Exact Value	arctan(tan(5pi))	$\arctan (\tan (5 π))$
18272	Find the Exact Value	tan((3pi)/4)^2	$\tan^{2} (\frac{3 π}{4})$
18273	Find the Exact Value	arctan(tan((3pi)/4))	$\arctan (\tan (\frac{3 π}{4}))$
18274	Find the Exact Value	arctan(tan(9pi))	$\arctan (\tan (9 π))$
18275	Find the Exact Value	arctan(tan(-(3pi)/8))	$\arctan (\tan (- \frac{3 π}{8}))$
18276	Find the Exact Value	arctan(tan(-(2pi)/3))	$\arctan (\tan (- \frac{2 π}{3}))$
18277	Find the Exact Value	arctan(tan((4pi)/3))	$\arctan (\tan (\frac{4 π}{3}))$
18278	Find the Exact Value	arctan(sin(pi))	$\arctan (\sin (π))$
18279	Find the Exact Value	arctan(tan((6pi)/7))	$\arctan (\tan (\frac{6 π}{7}))$
18280	Find the Exact Value	arctan(tan((7pi)/10))	$\arctan (\tan (\frac{7 π}{10}))$
18281	Find the Exact Value	arctan(tan((7pi)/12))	$\arctan (\tan (\frac{7 π}{12}))$
18282	Find the Exact Value	arctan(tan((5pi)/3))	$\arctan (\tan (\frac{5 π}{3}))$
18283	Find the Exact Value	arctan(tan((7pi)/8))	$\arctan (\tan (\frac{7 π}{8}))$
18284	Find the Exact Value	arctan(-4)	$\arctan (- 4)$
18285	Find the Exact Value	arctan(7)	$\arctan (7)$
18286	Find the Exact Value	arctan(sin(2pi))	$\arctan (\sin (2 π))$
18287	Find the Exact Value	arctan(2.4)	$\arctan (2.4)$
18288	Find the Exact Value	arctan(2sin(pi/3))	$\arctan (2 \sin (\frac{π}{3}))$
18289	Find the Exact Value	arctan(9)	$\arctan (9)$
18290	Find the Exact Value	arctan(cos(pi/2))	$\arctan (\cos (\frac{π}{2}))$
18291	Find the Exact Value	arctan(2.73)	$\arctan (2.73)$
18292	Find the Exact Value	arctan(20)	$\arctan (20)$
18293	Find the Exact Value	arctan(-25)	$\arctan (- 25)$
18294	Find the Exact Value	arctan(11)	$\arctan (11)$
18295	Find the Exact Value	arctan(13)	$\arctan (13)$
18296	Find the Exact Value	arctan(1.38)	$\arctan (1.38)$
18297	Find the Exact Value	arctan(1.4)	$\arctan (1.4)$
18298	Find the Exact Value	arctan(1.2)	$\arctan (1.2)$
18299	Find the Exact Value	arctan(-1.5)	$\arctan (- 1.5)$
18300	Find the Exact Value	tan(pi/2)^2	$\tan^{2} (\frac{π}{2})$