Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
2101	Find the Value Using the Unit Circle	sin(150 degrees )	$\sin (150 °)$
2102	Find the Value Using the Unit Circle	cos(45 degrees )	$\cos (45 °)$
2103	Find the Value Using the Unit Circle	tan(1)	$\tan (1)$
2104	Find the Value Using the Unit Circle	sin(pi)	$\sin (π)$
2105	Evaluate	pi/2+pi/4	$\frac{π}{2} + \frac{π}{4}$
2106	Evaluate	csc(pi/6)	$\csc (\frac{π}{6})$
2107	Simplify	(1+sin(x))(1-sin(x))	$(1 + \sin (x)) (1 - \sin (x))$
2108	Simplify	arcsin(1/2)	$\arcsin (\frac{1}{2})$
2109	Simplify	sin(x)^2csc(x)^2-sin(x)^2	$\sin^{2} (x) \csc^{2} (x) - \sin^{2} (x)$
2110	Simplify	(sin(x))/(1+sin(x))-(sin(x))/(1-sin(x))	$\frac{\sin (x)}{1 + \sin (x)} - \frac{\sin (x)}{1 - \sin (x)}$
2111	Simplify	(sin(2x))/(1+cos(2x))	$\frac{\sin (2 x)}{1 + \cos (2 x)}$
2112	Simplify	tan(x)^2-3sin(x)tan(x)sec(x)	$\tan^{2} (x) - 3 \sin (x) \tan (x) \sec (x)$
2113	Simplify	arctan(0)	$\arctan (0)$
2114	Simplify	csc(63)^2-cot(63)^2	$\csc^{2} (63) - \cot^{2} (63)$
2115	Simplify	cot(x)^2+1	$\cot^{2} (x) + 1$
2116	Simplify	cos(15)^2-sin(15)^2	$\cos^{2} (15) - \sin^{2} (15)$
2117	Simplify	(3y)/(2y-6)+9/(6-2y)	$\frac{3 y}{2 y - 6} + \frac{9}{6 - 2 y}$
2118	Simplify	(4pi)/3	$\frac{4 π}{3}$
2119	Simplify	(sec(x)^2-1)/(sec(x)-1)	$\frac{\sec^{2} (x) - 1}{\sec (x) - 1}$
2120	Simplify	1/(sec(x)+1)-1/(sec(x)-1)	$\frac{1}{\sec (x) + 1} - \frac{1}{\sec (x) - 1}$
2121	Simplify	1/(cos(x))	$\frac{1}{\cos (x)}$
2122	Simplify	1/(cos(x)^2)	$\frac{1}{\cos^{2} (x)}$
2123	Simplify	1/(1-cos(x))+1/(1+cos(x))	$\frac{1}{1 - \cos (x)} + \frac{1}{1 + \cos (x)}$
2124	Simplify	(1-cos(x))/(sin(x))	$\frac{1 - \cos (x)}{\sin (x)}$
2125	Simplify	(1+cos(x))/(sin(x))+(sin(x))/(1+cos(x))	$\frac{1 + \cos (x)}{\sin (x)} + \frac{\sin (x)}{1 + \cos (x)}$
2126	Simplify	1/(sin(x))-sin(x)	$\frac{1}{\sin (x)} - \sin (x)$
2127	Solve for ?	tan(x)=2sin(x)	$\tan (x) = 2 \sin (x)$
2128	Solve for ?	cos(x)=4/5	$\cos (x) = \frac{4}{5}$
2129	Solve for ?	csc(x)=-2	$\csc (x) = - 2$
2130	Solve for ?	cot(x)-1=0	$\cot (x) - 1 = 0$
2131	Solve for ?	tan(x)+ square root of 3=0	$\tan (x) + \sqrt{3} = 0$
2132	Solve for ?	sin(2x)=-1	$\sin (2 x) = - 1$
2133	Solve for ?	x=(5pi)/3	$x = \frac{5 π}{3}$
2134	Solve for ?	x=300	$x = 300$
2135	Solve for ?	2/( square root of 3)*cos(3x)=1	$\frac{2}{\sqrt{3}} \cdot \cos (3 x) = 1$
2136	Solve for θ in Radians	sin(theta)=1/2	$\tan^{2} (x) = - \frac{3}{2} \cdot \sec (x)$
2137	Solve for ?	2cos(x)^2-3cos(x)+1=0	$2 \cos^{2} (x) - 3 \cos (x) + 1 = 0$
2138	Solve for ?	2cos(x)- square root of 3=0	$2 \cos (x) - \sqrt{3} = 0$
2139	Solve for ?	square root of 3cot(x)-1=0	$\sqrt{3} \cot (x) - 1 = 0$
2140	Solve for ?	2sin(x)+3=2	$2 \sin (x) + 3 = 2$
2141	Solve for ?	2sin(3x)+1=0	$2 \sin (3 x) + 1 = 0$
2142	Solve for x	sin(x)=0.5	$\sin (x) = 0.5$
2143	Solve for x	sin(x)^2-sin(x)=0	$\sin^{2} (x) - \sin (x) = 0$
2144	Solve for x	2cos(x)^2+sin(x)-1=0	$2 \cos^{2} (x) + \sin (x) - 1 = 0$
2145	Solve for x	csc(x)+cot(x)=1	$\csc (x) + \cot (x) = 1$
2146	Solve for x	3tan(x)^3=tan(x)	$3 \tan^{3} (x) = \tan (x)$
2147	Solve for x	sec(x)-2=0	$\sec (x) - 2 = 0$
2148	Find All Complex Number Solutions	z=-4 square root of 3-4i	$z = - 4 \sqrt{3} - 4 i$
2149	Find the Range	y = log of x+2	$y = \log (x + 2)$
2150	Find the Range	y=tan(2x)	$y = \tan (2 x)$
2151	Find the Other Trig Values in Quadrant III	sec(theta)=-2	$\sec (θ) = - 2$
2152	Find the Other Trig Values in Quadrant II	sin(x)=2/5	$\sin (x) = \frac{2}{5}$
2153	Find the Other Trig Values in Quadrant I	sin(x)=1/4	$\sin (x) = \frac{1}{4}$
2154	Find the Other Trig Values in Quadrant I	sin(theta)=4/5	$\sin (θ) = \frac{4}{5}$
2155	Find the Other Trig Values in Quadrant I	tan(theta)=3/4	$\tan (θ) = \frac{3}{4}$
2156	Find the Other Trig Values in Quadrant I	tan(x)=5/12	$\tan (x) = \frac{5}{12}$
2157	Find the Other Trig Values in Quadrant I	cos(x)=24/25	$\cos (x) = \frac{24}{25}$
2158	Find the Other Trig Values in Quadrant I	csc(x)=5/3	$\csc (x) = \frac{5}{3}$
2159	Simplify	arccos(1/( square root of 2))	$\arccos (\frac{1}{\sqrt{2}})$
2160	Simplify	3 square root of 2	$3 \sqrt{2}$
2161	Simplify	arcsin((- square root of 3)/2)	$\arcsin (\frac{- \sqrt{3}}{2})$
2162	Simplify	cot( square root of 3)	$\cot (\sqrt{3})$
2163	Simplify	csc(arctan(( square root of 3)/3))	$\csc (\arctan (\frac{\sqrt{3}}{3}))$
2164	Simplify	cos(arcsin(-( square root of 3)/2))	$\cos (\arcsin (- \frac{\sqrt{3}}{2}))$
2165	Find the Domain	arcsin(x)	$\arcsin (x)$
2166	Find the Domain	y=tan(x)+2	$y = \tan (x) + 2$
2167	Simplify	sin(theta)	$\sin (θ)$
2168	Simplify	cos(165)	$\cos (165)$
2169	Simplify	cos(15)	$\cos (15)$
2170	Simplify	cos(2)	$\cos (2)$
2171	Simplify	cos(pi/2-x)sec(x)	$\cos (\frac{π}{2} - x) \sec (x)$
2172	Simplify	cos(pi/4)+cos(pi/3)	$\cos (\frac{π}{4}) + \cos (\frac{π}{3})$
2173	Simplify	cos(x)+sin(x)tan(x)	$\cos (x) + \sin (x) \tan (x)$
2174	Simplify	cos(x/2)	$\cos (\frac{x}{2})$
2175	Simplify	arcsin(x)	$\arcsin (x)$
2176	Simplify	cot(0)	$\cot (0)$
2177	Simplify	cot(45)	$\cot (45)$
2178	Simplify	cos(t)(sec(t)-cos(t))	$\cos (t) (\sec (t) - \cos (t))$
2179	Simplify	cos(225)	$\cos (225)$
2180	Simplify	sec(-x)	$\sec (- x)$
2181	Simplify	sec((5pi)/4)	$\sec (\frac{5 π}{4})$
2182	Simplify	sec(pi/3)	$\sec (\frac{π}{3})$
2183	Simplify	sec(pi/4)	$\sec (\frac{π}{4})$
2184	Simplify	cot(x)sec(x)sin(x)	$\cot (x) \sec (x) \sin (x)$
2185	Simplify	csc(x)-sin(x)	$\csc (x) - \sin (x)$
2186	Simplify	csc(45)	$\csc (45)$
2187	Simplify	sec(x)+tan(x)	$\sec (x) + \tan (x)$
2188	Simplify	sin(x/2)-sin(x/3)	$\sin (\frac{x}{2}) - \sin (\frac{x}{3})$
2189	Simplify	sin((2pi)/3)	$\sin (\frac{2 π}{3})$
2190	Simplify	sin(pi/4)+cos(pi/4)	$\sin (\frac{π}{4}) + \cos (\frac{π}{4})$
2191	Simplify	sin(25)	$\sin (25)$
2192	Simplify	2tan(x)	$2 \tan (x)$
2193	Simplify	(cos(x/2-x)^2)/( square root of 1-sin(x)^2)	$\frac{\cos^{2} (\frac{x}{2} - x)}{\sqrt{1 - \sin^{2} (x)}}$
2194	Solve for y	4pi+4arctan(y)=pi	$4 π + 4 \arctan (y) = π$
2195	Evaluate	cot(1)	$\cot (1)$
2196	Simplify	sin(300)	$\sin (300)$
2197	Simplify	tan(210)	$\tan (210)$
2198	Simplify	tan(270)	$\tan (270)$
2199	Simplify	tan((5pi)/6)	$\tan (\frac{5 π}{6})$
2200	Simplify	tan(arcsin(u))	$\tan (\arcsin (u))$