Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1601	Find the Value Using the Unit Circle	sin(120)	$\sin (120)$
1602	Find the Value Using the Unit Circle	sin((7pi)/4)	$\sin (\frac{7 π}{4})$
1603	Find the Value Using the Unit Circle	sin(3/5)	$\sin (\frac{3}{5})$
1604	Find the Value Using the Unit Circle	tan((3pi)/2)	$\tan (\frac{3 π}{2})$
1605	Evaluate	(5pi)/6+2pi	$\frac{5 π}{6} + 2 π$
1606	Evaluate	(2pi)/(pi/2)	$\frac{2 π}{\frac{π}{2}}$
1607	Evaluate	(3pi)/10	$\frac{3 π}{10}$
1608	Evaluate	120*pi/180	$120 \cdot \frac{π}{180}$
1609	Evaluate	( square root of 2)/2*( square root of 3)/2	$\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{3}}{2}$
1610	Evaluate	1/2+( square root of 3)/2	$\frac{1}{2} + \frac{\sqrt{3}}{2}$
1611	Simplify	csc(x)^2	$\csc^{2} (x)$
1612	Simplify	cos(x)^2-1	$\cos^{2} (x) - 1$
1613	Simplify	cos(x)^2(1+tan(x)^2)	$\cos^{2} (x) (1 + \tan^{2} (x))$
1614	Simplify	arccos(1/2)	$\arccos (\frac{1}{2})$
1615	Simplify	(cos(x))/(1+sin(x))	$\frac{\cos (x)}{1 + \sin (x)}$
1616	Simplify	(cos(x))/(sec(x))+(sin(x))/(csc(x))	$\frac{\cos (x)}{\sec (x)} + \frac{\sin (x)}{\csc (x)}$
1617	Simplify	(cos(2x))/(cos(x))	$\frac{\cos (2 x)}{\cos (x)}$
1618	Simplify	(5pi)/4	$\frac{5 π}{4}$
1619	Simplify	(cos(y)^2)/(1-sin(y))	$\frac{\cos^{2} (y)}{1 - \sin (y)}$
1620	Simplify	(pi/2)/4	$\frac{\frac{π}{2}}{4}$
1621	Simplify	(sin(x)^2)/(cos(x))	$\frac{\sin^{2} (x)}{\cos (x)}$
1622	Simplify	(sin(x)^2)/(cos(x)^2)	$\frac{\sin^{2} (x)}{\cos^{2} (x)}$
1623	Simplify	((sin(x)+cos(x))^2)/(1+2sin(x)cos(x))	$\frac{{(\sin (x) + \cos (x))}^{2}}{1 + 2 \sin (x) \cos (x)}$
1624	Simplify	1/(sec(x)^2)	$\frac{1}{\sec^{2} (x)}$
1625	Simplify	1/(sin(x)^2)-1/(tan(x)^2)	$\frac{1}{\sin^{2} (x)} - \frac{1}{\tan^{2} (x)}$
1626	Simplify	(1-sin(x))/(1+sin(x))	$\frac{1 - \sin (x)}{1 + \sin (x)}$
1627	Simplify	(1-sin(x))/(cos(x))	$\frac{1 - \sin (x)}{\cos (x)}$
1628	Simplify	(1+tan(x))/(1+cot(x))	$\frac{1 + \tan (x)}{1 + \cot (x)}$
1629	Simplify	(1+sin(u))/(cos(u))+(cos(u))/(1+sin(u))	$\frac{1 + \sin (u)}{\cos (u)} + \frac{\cos (u)}{1 + \sin (u)}$
1630	Simplify	(11pi)/6	$\frac{11 π}{6}$
1631	Solve for ?	csc(x)=(2 square root of 3)/3	$\csc (x) = \frac{2 \sqrt{3}}{3}$
1632	Solve for ?	csc(x) = square root of 2	$\csc (x) = \sqrt{2}$
1633	Solve for θ in Radians	sin(theta)=-1/2	$\cos (2 x) = \cos^{2} (x) - \frac{1}{2}$
1634	Solve for ?	sin(x)=1/3	$\sin (x) = \frac{1}{3}$
1635	Solve for ?	tan(x)- square root of 3=0	$\tan (x) - \sqrt{3} = 0$
1636	Solve for ?	2sin(x)^2-3sin(x)-2=0	$2 \sin^{2} (x) - 3 \sin (x) - 2 = 0$
1637	Solve for ?	4cos(x)^2-3=0	$4 \cos^{2} (x) - 3 = 0$
1638	Solve for ?	cos(x)=3/5	$\cos (x) = \frac{3}{5}$
1639	Solve for x	(x-15)^(3/4)=27	${(x - 15)}^{\frac{3}{4}} = 27$
1640	Solve for x	2sin(x)+ square root of 3=0	$2 \sin (x) + \sqrt{3} = 0$
1641	Solve for x	2cos(x)^2+cos(x)-1=0	$2 \cos^{2} (x) + \cos (x) - 1 = 0$
1642	Solve for x	(sin(x))(cos(x))=0	$(\sin (x)) (\cos (x)) = 0$
1643	Solve for x	2cot(x)+1=-1	$2 \cot (x) + 1 = - 1$
1644	Solve for x	2sin(x)^2+sin(x)-1=0	$2 \sin^{2} (x) + \sin (x) - 1 = 0$
1645	Solve for x	cos(2x)=-1	$\cos (2 x) = - 1$
1646	Solve for x	cos(x)-sin(x)=0	$\cos (x) - \sin (x) = 0$
1647	Solve for x	cos(3x)=1/2	$\cos (3 x) = \frac{1}{2}$
1648	Solve for x	tan(3x) = square root of 3	$\tan (3 x) = \sqrt{3}$
1649	Solve for x	tan(x)=2	$\tan (x) = 2$
1650	Solve for x	sin(x)cos(2x)+cos(x)sin(2x)=0	$\sin (x) \cos (2 x) + \cos (x) \sin (2 x) = 0$
1651	Solve for x	sin(2x)=0	$\sin (2 x) = 0$
1652	Solve for x	sin(3x)=0	$\sin (3 x) = 0$
1653	Find the Other Trig Values in Quadrant II	sin(x)=5/6	$\sin (x) = \frac{5}{6}$
1654	Simplify	cot(( square root of 3)/3)	$\cot (\frac{\sqrt{3}}{3})$
1655	Simplify	tan(arccos(-( square root of 3)/2))	$\tan (\arccos (- \frac{\sqrt{3}}{2}))$
1656	Simplify	cos(330)	$\cos (330)$
1657	Simplify	cos(240)	$\cos (240)$
1658	Simplify	cos(x)-sin(x)	$\cos (x) - \sin (x)$
1659	Simplify	cos(x-pi/2)	$\cos (x - \frac{π}{2})$
1660	Simplify	cot(pi)	$\cot (π)$
1661	Simplify	sec(pi/6)	$\sec (\frac{π}{6})$
1662	Simplify	sec(0)	$\sec (0)$
1663	Simplify	sin((5pi)/3)	$\sin (\frac{5 π}{3})$
1664	Simplify	sin((7pi)/12)cos(pi/12)-cos((7pi)/12)sin(pi/12)	$\sin (\frac{7 π}{12}) \cos (\frac{π}{12}) - \cos (\frac{7 π}{12}) \sin (\frac{π}{12})$
1665	Simplify	sin((7pi)/6)	$\sin (\frac{7 π}{6})$
1666	Simplify	sin(2pi)	$\sin (2 π)$
1667	Simplify	sin(210)	$\sin (210)$
1668	Simplify	sin(150)	$\sin (150)$
1669	Simplify	sin(pi/4)-cos(pi/4)	$\sin (\frac{π}{4}) - \cos (\frac{π}{4})$
1670	Simplify	1-tan(x)^2	$1 - \tan^{2} (x)$
1671	Simplify	1-sin(x)	$1 - \sin (x)$
1672	Simplify	2cos(x)^2	$2 \cos^{2} (x)$
1673	Simplify	tan(x)*csc(x)	$\tan (x) \cdot \csc (x)$
1674	Simplify	sin(x)*sin(x)	$\sin (x) \cdot \sin (x)$
1675	Simplify	sin(3x-2pi)	$\sin (3 x - 2 π)$
1676	Simplify	tan(240)	$\tan (240)$
1677	Simplify	tan(135)	$\tan (135)$
1678	Simplify	tan(x/2)	$\tan (\frac{x}{2})$
1679	Simplify	tan(pi/12)	$\tan (\frac{π}{12})$
1680	Simplify	tan(x)(cot(x)-cos(x))	$\tan (x) (\cot (x) - \cos (x))$
1681	Simplify	tan(x)-(sec(x)^2)/(tan(x))	$\tan (x) - \frac{\sec^{2} (x)}{\tan (x)}$
1682	Solve for ?	sin(x)<0	$\sin (x) < 0$
1683	Solve for ?	sin(x)>0	$\sin (x) > 0$
1684	Solve for ?	tan(x)<0	$\tan (x) < 0$
1685	Simplify	tan(x)sin(x)	$\tan (x) \sin (x)$
1686	Simplify	tan(405)	$\tan (405)$
1687	Find the Reference Angle	(9pi)/8	$\frac{9 π}{8}$
1688	Simplify	sin(a+b)+sin(a-b)	$\sin (a + b) + \sin (a - b)$
1689	Simplify	1+cot(x)^2	$1 + \cot^{2} (x)$
1690	Simplify	1-(sin(x)^2)/(1+cos(x))	$1 - \frac{\sin^{2} (x)}{1 + \cos (x)}$
1691	Simplify	sin(135)	$\sin (135)$
1692	Evaluate	csc(30)	$\csc (30)$
1693	Simplify	sin(240)	$\sin (240)$
1694	Simplify	sin((5pi)/4)	$\sin (\frac{5 π}{4})$
1695	Simplify	sin((3pi)/2)	$\sin (\frac{3 π}{2})$
1696	Simplify	sec(x)-sin(x)tan(x)	$\sec (x) - \sin (x) \tan (x)$
1697	Simplify	sec(x)-1/(sec(x))	$\sec (x) - \frac{1}{\sec (x)}$
1698	Simplify	cos(x+pi/2)	$\cos (x + \frac{π}{2})$
1699	Simplify	cot(arccos(u))	$\cot (\arccos (u))$
1700	Simplify	cos(x)-cos(x)sin(x)^2	$\cos (x) - \cos (x) \sin^{2} (x)$