Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1801	Find the Value Using the Unit Circle	tan((3pi)/4)	$\tan (\frac{3 π}{4})$
1802	Expand the Trigonometric Expression	pi/4	$\frac{π}{4}$
1803	Expand the Trigonometric Expression	cos(x)^2	$\cos^{2} (x)$
1804	Find the Exact Value	sec(-150 degrees )	$\sec (- 150 °)$
1805	Find the Exact Value	csc(-45 degrees )	$\csc (- 45 °)$
1806	Find the Exact Value	arccos(cos((4pi)/5))	$\arccos (\cos (\frac{4 π}{5}))$
1807	Find the Exact Value	cos(-pi/6)	$\cos (- \frac{π}{6})$
1808	Find the Exact Value	cos((23pi)/6)	$\cos (\frac{23 π}{6})$
1809	Find the Exact Value	arccos(cos(-pi/6))	$\arccos (\cos (- \frac{π}{6}))$
1810	Find the Exact Value	tan( square root of 3)	$\tan (\sqrt{3})$
1811	Verify the Identity	tan(x)cos(x)=sin(x)	$\tan (x) \cos (x) = \sin (x)$
1812	Verify the Identity	sin(x)tan(x)+cos(x)=sec(x)	$\sin (x) \tan (x) + \cos (x) = \sec (x)$
1813	Verify the Identity	sec(x)^2cot(x)-cot(x)=tan(x)	$\sec^{2} (x) \cot (x) - \cot (x) = \tan (x)$
1814	Verify the Identity	cos(x)^4-sin(x)^4=cos(2x)	$\cos^{4} (x) - \sin^{4} (x) = \cos (2 x)$
1815	Verify the Identity	csc(x)tan(x)=sec(x)	$\csc (x) \tan (x) = \sec (x)$
1816	Verify the Identity	cos(x)*csc(x)=cot(x)	$\cos (x) \cdot \csc (x) = \cot (x)$
1817	Verify the Identity	(cos(x))/(1-sin(x))=(1+sin(x))/(cos(x))	$\frac{\cos (x)}{1 - \sin (x)} = \frac{1 + \sin (x)}{\cos (x)}$
1818	Verify the Identity	(1-sin(x))/(cos(x))=(cos(x))/(1+sin(x))	$\frac{1 - \sin (x)}{\cos (x)} = \frac{\cos (x)}{1 + \sin (x)}$
1819	Verify the Identity	1/(1-sin(x))-1/(1+sin(x))=2tan(x)sec(x)	$\frac{1}{1 - \sin (x)} - \frac{1}{1 + \sin (x)} = 2 \tan (x) \sec (x)$
1820	Find the Supplement	(3pi)/4	$\frac{3 π}{4}$
1821	Find the Supplement	pi/12	$\frac{π}{12}$
1822	Find the Complement	pi/8	$\frac{π}{8}$
1823	Find the Reference Angle	150	$150$
1824	Find the Reference Angle	(9pi)/10	$\frac{9 π}{10}$
1825	Find the Reference Angle	-(7pi)/6	$- \frac{7 π}{6}$
1826	Find the Reference Angle	(19pi)/4	$\frac{19 π}{4}$
1827	Find the Reference Angle	(11pi)/9	$\frac{11 π}{9}$
1828	Expand Using Sum/Difference Formulas	cos((13pi)/12)	$\cos (\frac{13 π}{12})$
1829	Find Amplitude, Period, and Phase Shift	y=5cos(x)	$y = 5 \cos (x)$
1830	Find Amplitude, Period, and Phase Shift	y=7sin(x)	$y = 7 \sin (x)$
1831	Find Amplitude, Period, and Phase Shift	y=6cos(x)	$y = 6 \cos (x)$
1832	Find Amplitude, Period, and Phase Shift	y=1+tan(1/2x)	$y = 1 + \tan (\frac{1}{2} x)$
1833	Find Amplitude, Period, and Phase Shift	y=-6sin(x)	$y = - 6 \sin (x)$
1834	Find the Reference Angle	(7pi)/10	$\frac{7 π}{10}$
1835	Find Amplitude, Period, and Phase Shift	y=3/2*cos(t/2)	$y = \frac{3}{2} \cdot \cos (\frac{t}{2})$
1836	Find Amplitude, Period, and Phase Shift	y=cos(x)-1	$y = \cos (x) - 1$
1837	Convert from Degrees to Radians	54 degrees	$54 °$
1838	Convert from Degrees to Radians	35 degrees	$35 °$
1839	Convert from Degrees to Radians	345 degrees	$345 °$
1840	Find the Exact Value	sin(-270 degrees )	$\sin (- 270 °)$
1841	Convert from Degrees to Radians	4	$4$
1842	Convert from Degrees to Radians	-450	$- 450$
1843	Convert from Degrees to Radians	-50	$- 50$
1844	Convert from Degrees to Radians	52	$52$
1845	Convert from Degrees to Radians	-480	$- 480$
1846	Convert from Degrees to Radians	495	$495$
1847	Convert from Degrees to Radians	-105 degrees	$- 105 °$
1848	Convert from Degrees to Radians	-165	$- 165$
1849	Convert from Degrees to Radians	175	$175$
1850	Convert from Degrees to Radians	3	$3$
1851	Convert from Degrees to Radians	285	$285$
1852	Convert from Degrees to Radians	-2	$- 2$
1853	Convert from Degrees to Radians	25 degrees	$25 °$
1854	Convert from Degrees to Radians	-225 degrees	$- 225 °$
1855	Find Amplitude, Period, and Phase Shift	f(t)=1/2*sec(t+2)-pi	$f (t) = \frac{1}{2} \cdot \sec (t + 2) - π$
1856	Convert from Radians to Degrees	1.2	$1.2$
1857	Convert from Radians to Degrees	-3p	$- 3 p$
1858	Convert from Degrees to Radians	252 degrees	$252 °$
1859	Convert from Degrees to Radians	-70 degrees	$- 70 °$
1860	Convert from Degrees to Radians	(3pi)/2	$\frac{3 π}{2}$
1861	Convert from Radians to Degrees	(7p)/4	$\frac{7 p}{4}$
1862	Convert from Radians to Degrees	(7p)/6	$\frac{7 p}{6}$
1863	Convert from Radians to Degrees	(13pi)/12	$\frac{13 π}{12}$
1864	Convert from Radians to Degrees	(17pi)/4	$\frac{17 π}{4}$
1865	Convert from Radians to Degrees	(7pi)/5	$\frac{7 π}{5}$
1866	Convert from Radians to Degrees	(7pi)/10	$\frac{7 π}{10}$
1867	Convert from Radians to Degrees	(9pi)/2	$\frac{9 π}{2}$
1868	Convert from Radians to Degrees	pi/20	$\frac{π}{20}$
1869	Convert to Polar Coordinates	(-4 square root of 3,4)	$(- 4 \sqrt{3}, 4)$
1870	Convert to Polar Coordinates	(-2,0)	$(- 2, 0)$
1871	Convert to Polar Coordinates	(2,-2 square root of 3)	$(2, - 2 \sqrt{3})$
1872	Simplify/Condense	log base b of 7+ log base b of 3	$\log_{b} (7) + \log_{b} (3)$
1873	Evaluate	sin(150 degrees )	$\sin (150 °)$
1874	Evaluate	cos(420 degrees )	$\cos (420 °)$
1875	Evaluate	2pi-pi/3	$2 π - \frac{π}{3}$
1876	Evaluate	sin((4pi)/3)	$\sin (\frac{4 π}{3})$
1877	Evaluate	tan(1)	$\tan (1)$
1878	Find the Exact Value	sin(7pi)	$\sin (7 π)$
1879	Convert to Trigonometric Form	2i	$2 i$
1880	Convert to Trigonometric Form	4+4i	$4 + 4 i$
1881	Find the Sine Given the Point	(6,8)	$(6, 8)$
1882	Find the Sine Given the Point	(4,3)	$(4, 3)$
1883	Find the Sine Given the Point	(2,3)	$(2, 3)$
1884	Find the Sine Given the Point	(24,-7)	$(24, - 7)$
1885	Find the Cosine Given the Point	(3,-4)	$(3, - 4)$
1886	Find the Cosine Given the Point	(-3,4)	$(- 3, 4)$
1887	Find the Cosine Given the Point	(-5,-12)	$(- 5, - 12)$
1888	Find the Tangent Given the Point	(-1/2,( square root of 3)/2)	$(- \frac{1}{2}, \frac{\sqrt{3}}{2})$
1889	Find the Tangent Given the Point	(12,5)	$(12, 5)$
1890	Find the Quadrant of the Angle	pi/6	$\frac{π}{6}$
1891	Find the Quadrant of the Angle	(7pi)/6	$\frac{7 π}{6}$
1892	Find the Quadrant of the Angle	pi/2	$\frac{π}{2}$
1893	Find the Quadrant of the Angle	-(5pi)/3	$- \frac{5 π}{3}$
1894	Graph	sec(x/2)	$\sec (\frac{x}{2})$
1895	Graph	y=sin(x)-2	$y = \sin (x) - 2$
1896	Graph	y=cot(2x)	$y = \cot (2 x)$
1897	Graph	y=-csc(x)	$y = - \csc (x)$
1898	Graph	0.5cot(x)	$0.5 \cot (x)$
1899	Graph	y=cos(x+pi/4)	$y = \cos (x + \frac{π}{4})$
1900	Graph	y=2cos(1/3x)	$y = 2 \cos (\frac{1}{3} x)$