Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1201	Find the Quadrant of the Angle	(5pi)/6	$\frac{5 π}{6}$
1202	Find the Tangent Given the Point	(-12,5)	$(- 12, 5)$
1203	Find the Sine Given the Point	(-5,12)	$(- 5, 12)$
1204	Find the Sine Given the Point	(3,-4)	$(3, - 4)$
1205	Convert to Trigonometric Form	3i	$3 i$
1206	Evaluate	cos((5pi)/3)	$\cos (\frac{5 π}{3})$
1207	Evaluate	cos(1/2)	$\cos (\frac{1}{2})$
1208	Convert to Polar Coordinates	(-3 square root of 3,3)	$(- 3 \sqrt{3}, 3)$
1209	Simplify/Condense	log of (3x^2)/12	$\log (\frac{3 x^{2}}{12})$
1210	Convert from Radians to Degrees	(11pi)/9	$\frac{11 π}{9}$
1211	Convert from Degrees to Radians	pi/6	$\frac{π}{6}$
1212	Convert from Degrees to Radians	0 degrees	$0 °$
1213	Convert from Degrees to Radians	68 degrees	$68 °$
1214	Convert from Radians to Degrees	(16pi)/3	$\frac{16 π}{3}$
1215	Convert from Degrees to Radians	255	$255$
1216	Convert from Degrees to Radians	220	$220$
1217	Convert from Degrees to Radians	170	$170$
1218	Convert from Degrees to Radians	-60 degrees	$- 60 °$
1219	Convert from Degrees to Radians	405	$405$
1220	Convert from Degrees to Radians	-45 degrees	$- 45 °$
1221	Find Amplitude, Period, and Phase Shift	f(x)=sin(3x-2pi)	$f (x) = \sin (3 x - 2 π)$
1222	Expand Using Sum/Difference Formulas	cos(105)	$\cos (105)$
1223	Expand Using Sum/Difference Formulas	sin((13pi)/12)	$\sin (\frac{13 π}{12})$
1224	Find Amplitude, Period, and Phase Shift	y=sin(5x)	$y = \sin (5 x)$
1225	Find the Reference Angle	(7pi)/3	$\frac{7 π}{3}$
1226	Expand Using Sum/Difference Formulas	tan(pi/12)	$\tan (\frac{π}{12})$
1227	Find the Reference Angle	135	$135$
1228	Find the Reference Angle	30	$30$
1229	Find the Complement	2	$2$
1230	Verify the Identity	cos(x)^2(1+tan(x)^2)=1	$\cos^{2} (x) (1 + \tan^{2} (x)) = 1$
1231	Verify the Identity	(1+cos(x))/(sin(x))+(sin(x))/(1+cos(x))=2csc(x)	$\frac{1 + \cos (x)}{\sin (x)} + \frac{\sin (x)}{1 + \cos (x)} = 2 \csc (x)$
1232	Verify the Identity	(1+sin(x))/(cos(x))+(cos(x))/(1+sin(x))=2sec(x)	$\frac{1 + \sin (x)}{\cos (x)} + \frac{\cos (x)}{1 + \sin (x)} = 2 \sec (x)$
1233	Verify the Identity	cos(x+pi/2)=-sin(x)	$\cos (x + \frac{π}{2}) = - \sin (x)$
1234	Verify the Identity	csc(x)*cos(x)=cot(x)	$\csc (x) \cdot \cos (x) = \cot (x)$
1235	Verify the Identity	tan(x)^2+1=sec(x)^2	$\tan^{2} (x) + 1 = \sec^{2} (x)$
1236	Verify the Identity	(sin(x))/(1-cos(x))+(sin(x))/(1+cos(x))=2csc(x)	$\frac{\sin (x)}{1 - \cos (x)} + \frac{\sin (x)}{1 + \cos (x)} = 2 \csc (x)$
1237	Verify the Identity	cos(x)^2-sin(x)^2=2cos(x)^2-1	$\cos^{2} (x) - \sin^{2} (x) = 2 \cos^{2} (x) - 1$
1238	Verify the Identity	tan(x)sin(x)+cos(x)=sec(x)	$\tan (x) \sin (x) + \cos (x) = \sec (x)$
1239	Verify the Identity	sec(x)-sin(x)tan(x)=cos(x)	$\sec (x) - \sin (x) \tan (x) = \cos (x)$
1240	Find the Exact Value	arctan(4/3)	$\arctan (\frac{4}{3})$
1241	Find the Exact Value	cos((11pi)/3)	$\cos (\frac{11 π}{3})$
1242	Find the Exact Value	csc(-pi/6)	$\csc (- \frac{π}{6})$
1243	Expand the Trigonometric Expression	sin(x)^4	$\sin^{4} (x)$
1244	Find the Value Using the Unit Circle	cos((5pi)/3)	$\cos (\frac{5 π}{3})$
1245	Find the Exact Value	sin(64)	$\sin (64)$
1246	Find the Exact Value	sin(600)	$\sin (600)$
1247	Find the Exact Value	sin(7)	$\sin (7)$
1248	Find the Exact Value	sin(72)	$\sin (72)$
1249	Find the Exact Value	sin(450)	$\sin (450)$
1250	Find the Exact Value	sin(8)	$\sin (8)$
1251	Find the Exact Value	tan(4/3)	$\tan (\frac{4}{3})$
1252	Find the Exact Value	tan((14pi)/3)	$\tan (\frac{14 π}{3})$
1253	Find the Exact Value	csc(90)	$\csc (90)$
1254	Find the Exact Value	tan(24)	$\tan (24)$
1255	Find the Exact Value	cos(75 degrees )	$\cos (75 °)$
1256	Find the Exact Value	tan(42)	$\tan (42)$
1257	Find the Exact Value	tan(39)	$\tan (39)$
1258	Find the Exact Value	tan(48)	$\tan (48)$
1259	Find the Exact Value	arccos(( square root of 3)/2)	$\arccos (\frac{\sqrt{3}}{2})$
1260	Find the Exact Value	cot((5pi)/4)	$\cot (\frac{5 π}{4})$
1261	Find the Exact Value	sin(pi/9)	$\sin (\frac{π}{9})$
1262	Find the Exact Value	sin((9pi)/2)	$\sin (\frac{9 π}{2})$
1263	Find the Exact Value	sin(27)	$\sin (27)$
1264	Find the Exact Value	tan(-150 degrees )	$\tan (- 150 °)$
1265	Find the Exact Value	csc(-90)	$\csc (- 90)$
1266	Find the Exact Value	sin(-90 degrees )	$\sin (- 90 °)$
1267	Find the Exact Value	sin(2/3)	$\sin (\frac{2}{3})$
1268	Find the Exact Value	csc(330)	$\csc (330)$
1269	Find the Exact Value	sec(5)	$\sec (5)$
1270	Find the Exact Value	cot(-240 degrees )	$\cot (- 240 °)$
1271	Find the Exact Value	tan(-60 degrees )	$\tan (- 60 °)$
1272	Find the Exact Value	csc(3pi)	$\csc (3 π)$
1273	Find the Exact Value	cot((-pi)/4)	$\cot (\frac{- π}{4})$
1274	Find the Exact Value	cos((17pi)/6)	$\cos (\frac{17 π}{6})$
1275	Find the Exact Value	cos((7pi)/12)	$\cos (\frac{7 π}{12})$
1276	Find the Exact Value	cos(4)	$\cos (4)$
1277	Find the Exact Value	tan(405)	$\tan (405)$
1278	Find the Exact Value	sin(-225 degrees )	$\sin (- 225 °)$
1279	Find the Exact Value	cos(3)	$\cos (3)$
1280	Find the Exact Value	tan(225)	$\tan (225)$
1281	Find the Value Using the Unit Circle	sin(1/2)	$\sin (\frac{1}{2})$
1282	Find the Value Using the Unit Circle	tan(60)	$\tan (60)$
1283	Find the Value Using the Unit Circle	sin(90)	$\sin (90)$
1284	Evaluate	-(5pi)/4	$- \frac{5 π}{4}$
1285	Evaluate	pi/6+pi	$\frac{π}{6} + π$
1286	Evaluate	pi/2+pi/2	$\frac{π}{2} + \frac{π}{2}$
1287	Evaluate	csc(30 degrees )	$\csc (30 °)$
1288	Simplify	( square root of 3)/( square root of 67)	$\frac{\sqrt{3}}{\sqrt{67}}$
1289	Simplify	tan(theta)-sec(theta)	$\tan (θ) - \sec (θ)$
1290	Simplify	square root of 313	$\sqrt{313}$
1291	Simplify	(tan(x))/(sec(x))	$\frac{\tan (x)}{\sec (x)}$
1292	Simplify	1/(cos(x)^2)-1/(cot(x)^2)	$\frac{1}{\cos^{2} (x)} - \frac{1}{\cot^{2} (x)}$
1293	Simplify	square root of ((1-cos(theta))(1+cos(theta)))/(cos(theta)^2)	$\sqrt{\frac{(1 - \cos (θ)) (1 + \cos (θ))}{\cos^{2} (θ)}}$
1294	Solve for ?	cot(x)=0	$\cot (x) = 0$
1295	Solve for ?	cot(x)=( square root of 3)/3	$\cot (x) = \frac{\sqrt{3}}{3}$
1296	Solve for ?	cos(2x-pi/2)=1	$\cos (2 x - \frac{π}{2}) = 1$
1297	Solve for ?	sin(x)=3/4	$\sin (x) = \frac{3}{4}$
1298	Solve for ?	2cos(x)+1=0	$2 \cos (x) + 1 = 0$
1299	Solve for ?	x=(2pi)/3	$x = \frac{2 π}{3}$
1300	Solve for ?	x=(7pi)/6	$x = \frac{7 π}{6}$