Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
8201	Find the Exact Value	cos(60)^2	$\cos^{2} (60)$
8202	Find the Exact Value	arccos(3/7)	$\arccos (\frac{3}{7})$
8203	Find the Exact Value	arccos(-3/4)	$\arccos (- \frac{3}{4})$
8204	Find the Exact Value	arccos(3/2)	$\arccos (\frac{3}{2})$
8205	Find the Exact Value	arccos(2/5)	$\arccos (\frac{2}{5})$
8206	Find the Exact Value	arccos(5/8)	$\arccos (\frac{5}{8})$
8207	Find the Exact Value	arccos(-0.4)	$\arccos (- 0.4)$
8208	Find the Exact Value	arccos(-0.5458)	$\arccos (- 0.5458)$
8209	Find the Exact Value	arccos(0.7)	$\arccos (0.7)$
8210	Find the Exact Value	(cos(pi/4))/(sin(pi/4))	$\frac{\cos (\frac{π}{4})}{\sin (\frac{π}{4})}$
8211	Find the Exact Value	(cos(pi/3))/(sin(pi/3))	$\frac{\cos (\frac{π}{3})}{\sin (\frac{π}{3})}$
8212	Find the Exact Value	500/(sin(20))	$\frac{500}{\sin (20)}$
8213	Find the Exact Value	6/(cos(72))	$\frac{6}{\cos (72)}$
8214	Find the Exact Value	8/(tan(25))	$\frac{8}{\tan (25)}$
8215	Find the Exact Value	8/(tan(30))	$\frac{8}{\tan (30)}$
8216	Find the Exact Value	(cos(40))/(sin(50))	$\frac{\cos (40)}{\sin (50)}$
8217	Find the Exact Value	arccos(0.25)	$\arccos (0.25)$
8218	Find the Exact Value	arccos(0.5)	$\arccos (0.5)$
8219	Find the Exact Value	arccos(1/8)	$\arccos (\frac{1}{8})$
8220	Find the Exact Value	(tan(25)+tan(20))/(1-tan(25)tan(20))	$\frac{\tan (25) + \tan (20)}{1 - \tan (25) \tan (20)}$
8221	Find the Exact Value	(tan(25)+tan(5))/(1-tan(25)tan(5))	$\frac{\tan (25) + \tan (5)}{1 - \tan (25) \tan (5)}$
8222	Find the Exact Value	(tan(50)+tan(100))/(1-tan(50)tan(100))	$\frac{\tan (50) + \tan (100)}{1 - \tan (50) \tan (100)}$
8223	Find the Exact Value	(tan(45)-tan(30))/(1+tan(45)tan(30))	$\frac{\tan (45) - \tan (30)}{1 + \tan (45) \tan (30)}$
8224	Find the Exact Value	arctan(15/20)	$\arctan (\frac{15}{20})$
8225	Find the Exact Value	arctan(0.75)	$\arctan (0.75)$
8226	Find the Exact Value	arctan(0.09)	$\arctan (0.09)$
8227	Find the Exact Value	arctan(0.5)	$\arctan (0.5)$
8228	Find the Exact Value	arctan(5/2)	$\arctan (\frac{5}{2})$
8229	Find the Exact Value	arctan(5/3)	$\arctan (\frac{5}{3})$
8230	Find the Exact Value	arctan(7/6)	$\arctan (\frac{7}{6})$
8231	Find the Exact Value	arctan(8/10)	$\arctan (\frac{8}{10})$
8232	Find the Exact Value	arctan(pi/6)	$\arctan (\frac{π}{6})$
8233	Find the Exact Value	arctan(9/12)	$\arctan (\frac{9}{12})$
8234	Find the Exact Value	arctan(9/7)	$\arctan (\frac{9}{7})$
8235	Find the Exact Value	arctan(-4/3)	$\arctan (- \frac{4}{3})$
8236	Find the Exact Value	arcsin(-0.636)	$\arcsin (- 0.636)$
8237	Find the Exact Value	arcsin(-0.71)	$\arcsin (- 0.71)$
8238	Find the Exact Value	arcsin(0.75)	$\arcsin (0.75)$
8239	Find the Exact Value	arcsin(-3)	$\arcsin (- 3)$
8240	Find the Exact Value	arcsin(sin((9pi)/7))	$\arcsin (\sin (\frac{9 π}{7}))$
8241	Find the Exact Value	arcsin(sin((8pi)/7))	$\arcsin (\sin (\frac{8 π}{7}))$
8242	Find the Exact Value	arcsin(sin((7pi)/5))	$\arcsin (\sin (\frac{7 π}{5}))$
8243	Find the Exact Value	sin(1)^2	$\sin^{2} (1)$
8244	Find the Exact Value	sin(-1)^2	$\sin^{2} (- 1)$
8245	Find the Exact Value	sin(20)^2+cos(20)^2	$\sin^{2} (20) + \cos^{2} (20)$
8246	Find the Exact Value	sin(pi/12)^2	$\sin^{2} (\frac{π}{12})$
8247	Find the Exact Value	arcsin(sin((11pi)/8))	$\arcsin (\sin (\frac{11 π}{8}))$
8248	Find the Exact Value	arcsin(sin(pi/7))	$\arcsin (\sin (\frac{π}{7}))$
8249	Find the Exact Value	arcsin(sin(pi/5))	$\arcsin (\sin (\frac{π}{5}))$
8250	Find the Exact Value	(tan(15)+tan(45))/(1-tan(15)tan(45))	$\frac{\tan (15) + \tan (45)}{1 - \tan (15) \tan (45)}$
8251	Find the Exact Value	(tan((5pi)/12)+tan(pi/4))/(1-tan((5pi)/12)tan(pi/4))	$\frac{\tan (\frac{5 π}{12}) + \tan (\frac{π}{4})}{1 - \tan (\frac{5 π}{12}) \tan (\frac{π}{4})}$
8252	Find the Exact Value	sin(50)^2+cos(50)^2	$\sin^{2} (50) + \cos^{2} (50)$
8253	Find the Exact Value	(tan((7pi)/24)-tan(pi/8))/(1+tan((7pi)/24)tan(pi/8))	$\frac{\tan (\frac{7 π}{24}) - \tan (\frac{π}{8})}{1 + \tan (\frac{7 π}{24}) \tan (\frac{π}{8})}$
8254	Find the Exact Value	(tan(pi/18)+tan(pi/9))/(1-tan(pi/18)tan(pi/9))	$\frac{\tan (\frac{π}{18}) + \tan (\frac{π}{9})}{1 - \tan (\frac{π}{18}) \tan (\frac{π}{9})}$
8255	Find the Exact Value	16cos(35)	$16 \cos (35)$
8256	Find the Exact Value	1500cos(45)	$1500 \cos (45)$
8257	Find the Exact Value	159.62tan(47.3)	$159.62 \tan (47.3)$
8258	Find the Exact Value	12((sin(42))/22)	$12 (\frac{\sin (42)}{22})$
8259	Find the Exact Value	10tan(35)	$10 \tan (35)$
8260	Find the Exact Value	12sin(17)	$12 \sin (17)$
8261	Find the Exact Value	12sin(45)	$12 \sin (45)$
8262	Find the Exact Value	16tan(40)	$16 \tan (40)$
8263	Find the Exact Value	2cos(105)^2-1	$2 \cos^{2} (105) - 1$
8264	Find the Exact Value	10sin(20)	$10 \sin (20)$
8265	Find the Exact Value	tan(45)^2	$\tan^{2} (45)$
8266	Find the Exact Value	arctan(16)	$\arctan (16)$
8267	Find the Exact Value	arctan(-8)	$\arctan (- 8)$
8268	Find the Exact Value	arctan(tan((7pi)/6))	$\arctan (\tan (\frac{7 π}{6}))$
8269	Find the Exact Value	arctan(tan(pi/5))	$\arctan (\tan (\frac{π}{5}))$
8270	Find the Exact Value	arctan(tan(pi/6))	$\arctan (\tan (\frac{π}{6}))$
8271	Find the Exact Value	arctan(tan((10pi)/11))	$\arctan (\tan (\frac{10 π}{11}))$
8272	Find the Exact Value	arctan(tan((5pi)/4))	$\arctan (\tan (\frac{5 π}{4}))$
8273	Find the Exact Value	arctan(tan((5pi)/7))	$\arctan (\tan (\frac{5 π}{7}))$
8274	Find the Exact Value	arctan(tan((5pi)/9))	$\arctan (\tan (\frac{5 π}{9}))$
8275	Find the Exact Value	arctan(tan((3pi)/5))	$\arctan (\tan (\frac{3 π}{5}))$
8276	Find the Exact Value	tan(1)^-2	$\tan^{- 2} (1)$
8277	Find the Exact Value	tan(60)^2	$\tan^{2} (60)$
8278	Expand the Trigonometric Expression	4sin(x)^2cos(x)^2	$4 \sin^{2} (x) \cos^{2} (x)$
8279	Expand the Trigonometric Expression	6sin(x)	$6 \sin (x)$
8280	Expand the Trigonometric Expression	1-cos(x)	$1 - \cos (x)$
8281	Expand the Trigonometric Expression	2cos(x)^2	$2 \cos^{2} (x)$
8282	Expand the Trigonometric Expression	2sin(x)cos(2x)	$2 \sin (x) \cos (2 x)$
8283	Expand the Trigonometric Expression	cos(x/2)	$\cos (\frac{x}{2})$
8284	Expand the Trigonometric Expression	cos(75)	$\cos (75)$
8285	Expand the Trigonometric Expression	cos(3A)	$\cos (3 A)$
8286	Expand the Trigonometric Expression	cos(4x)-cos(2x)	$\cos (4 x) - \cos (2 x)$
8287	Expand the Trigonometric Expression	cos(270-x)	$\cos (270 - x)$
8288	Expand the Trigonometric Expression	cos(2arccos(x))	$\cos (2 \arccos (x))$
8289	Expand the Trigonometric Expression	cos(pi/6-x)	$\cos (\frac{π}{6} - x)$
8290	Expand the Trigonometric Expression	cos(arcsin(x))	$\cos (\arcsin (x))$
8291	Expand the Trigonometric Expression	cos(15)	$\cos (15)$
8292	Expand the Trigonometric Expression	cos(165)	$\cos (165)$
8293	Expand the Trigonometric Expression	-pi/6	$- \frac{π}{6}$
8294	Expand the Trigonometric Expression	(1-cos(x))/(sin(x))	$\frac{1 - \cos (x)}{\sin (x)}$
8295	Find the Value Using the Unit Circle	arcsin(0.65)	$\arcsin (0.65)$
8296	Find the Value Using the Unit Circle	arcsec(2)	$arcsec (2)$
8297	Find the Value Using the Unit Circle	tan(210 degrees )	$\tan (210 °)$
8298	Find the Value Using the Unit Circle	arcsin(3/4)	$\arcsin (\frac{3}{4})$
8299	Expand the Trigonometric Expression	tan(2u)	$\tan (2 u)$
8300	Expand the Trigonometric Expression	tan(pi-x)	$\tan (π - x)$