Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
14801	Find the Exact Value	cos(-135)	$\cos (- 135)$
14802	Find the Exact Value	cos(120)tan(60)	$\cos (120) \tan (60)$
14803	Find the Exact Value	cos(116)	$\cos (116)$
14804	Find the Exact Value	cos(1.17)	$\cos (1.17)$
14805	Find the Exact Value	cos(arctan(7))	$\cos (\arctan (7))$
14806	Find the Exact Value	cos(0.450)	$\cos (0.45)$
14807	Find the Exact Value	cos(-225)	$\cos (- 225)$
14808	Find the Exact Value	cos(235)	$\cos (235)$
14809	Find the Exact Value	cos(155)	$\cos (155)$
14810	Find the Exact Value	cos(21pi)	$\cos (21 π)$
14811	Find the Exact Value	cos(210-225)	$\cos (210 - 225)$
14812	Find the Exact Value	cos(-22.5)	$\cos (- 22.5)$
14813	Find the Exact Value	cos(282.3)	$\cos (282.3)$
14814	Find the Exact Value	cos(290)	$\cos (290)$
14815	Find the Exact Value	cos(245-5)	$\cos (245 - 5)$
14816	Find the Exact Value	cos(240-0)	$\cos (240 - 0)$
14817	Find the Exact Value	cos(-2pi+pi/6)	$\cos (- 2 π + \frac{π}{6})$
14818	Find the Exact Value	cos(2arcsin(3/5))	$\cos (2 \arcsin (\frac{3}{5}))$
14819	Find the Exact Value	cos(240+45)	$\cos (240 + 45)$
14820	Find the Exact Value	cos(2(-3/5))	$\cos (2 (- \frac{3}{5}))$
14821	Find the Exact Value	cos(2((8pi)/2))	$\cos (2 (\frac{8 π}{2}))$
14822	Find the Exact Value	cos(2*pi/6)	$\cos (2 \cdot \frac{π}{6})$
14823	Find the Exact Value	cos(-2.06)	$\cos (- 2.06)$
14824	Find the Exact Value	cos(135+60)	$\cos (135 + 60)$
14825	Find the Exact Value	cos(-150)	$\cos (- 150)$
14826	Find the Exact Value	cos(-180)	$\cos (- 180)$
14827	Find the Exact Value	cot((17pi)/18)	$\cot (\frac{17 π}{18})$
14828	Find the Exact Value	cot(1/2)	$\cot (\frac{1}{2})$
14829	Find the Exact Value	cot(3/4*pi)	$\cot (\frac{3}{4} \cdot π)$
14830	Find the Exact Value	cot((38pi)/4)	$\cot (\frac{38 π}{4})$
14831	Find the Exact Value	cot((-3pi)/12)	$\cot (\frac{- 3 π}{12})$
14832	Find the Exact Value	cot((43pi)/6)	$\cot (\frac{43 π}{6})$
14833	Find the Exact Value	cot((5pi)/7)	$\cot (\frac{5 π}{7})$
14834	Find the Exact Value	cot((6pi)/5)	$\cot (\frac{6 π}{5})$
14835	Find the Exact Value	cot(4/3*pi)	$\cot (\frac{4}{3} \cdot π)$
14836	Find the Exact Value	cos(arctan(3))	$\cos (\arctan (3))$
14837	Find the Exact Value	cos(arctan(6))	$\cos (\arctan (6))$
14838	Find the Exact Value	cos(arccos(2/3))	$\cos (\arccos (\frac{2}{3}))$
14839	Find the Exact Value	cos(-9pi)	$\cos (- 9 π)$
14840	Find the Exact Value	cos(arccos(1/4))	$\cos (\arccos (\frac{1}{4}))$
14841	Find the Exact Value	cos(79 degrees 15')	$\cos (79 ° 15')$
14842	Find the Exact Value	cos(96)	$\cos (96)$
14843	Find the Exact Value	cos(arccsc(-2))	$\cos (arccsc (- 2))$
14844	Find the Exact Value	cos(arcsin(-3/4))	$\cos (\arcsin (- \frac{3}{4}))$
14845	Find the Exact Value	cos(arccos(0)-arcsin(1/2))	$\cos (\arccos (0) - \arcsin (\frac{1}{2}))$
14846	Find the Exact Value	cos(427)	$\cos (427)$
14847	Find the Exact Value	cos(3arctan(2/4))	$\cos (3 \arctan (\frac{2}{4}))$
14848	Write in Standard Form	x^2+y^2=9	$x^{2} + y^{2} = 9$
14849	Find the Exact Value	cos(333)	$\cos (333)$
14850	Find the Exact Value	cos(4x)	$\cos (4 x)$
14851	Find the Exact Value	cos(45-150)	$\cos (45 - 150)$
14852	Find the Exact Value	cos(-540)	$\cos (- 540)$
14853	Find the Exact Value	cos(60)sin(45)	$\cos (60) \sin (45)$
14854	Find the Exact Value	cos(-675)	$\cos (- 675)$
14855	Find the Exact Value	cos(7.5)sin(37.5)	$\cos (7.5) \sin (37.5)$
14856	Verify the Identity	2csc(x)=1/(csc(x)+cot(x))+1/(csc(x)-cot(x))	$2 \csc (x) = \frac{1}{\csc (x) + \cot (x)} + \frac{1}{\csc (x) - \cot (x)}$
14857	Verify the Identity	2cot(x)^2-csc(x)^2=(cos(2x))/(sin(x)^2)	$2 \cot^{2} (x) - \csc^{2} (x) = \frac{\cos (2 x)}{\sin^{2} (x)}$
14858	Verify the Identity	2sin(x)^2-1=1-2cos(x)^2	$2 \sin^{2} (x) - 1 = 1 - 2 \cos^{2} (x)$
14859	Verify the Identity	1+cos(8x)=4cos(2x)	$1 + \cos (8 x) = 4 \cos (2 x)$
14860	Verify the Identity	1-2sin(x)^2=2cos(x)^2-1	$1 - 2 \sin^{2} (x) = 2 \cos^{2} (x) - 1$
14861	Verify the Identity	2sin(x)^2+3cos(x-3)=0	$2 \sin^{2} (x) + 3 \cos (x - 3) = 0$
14862	Verify the Identity	2sec(y)cos(y)=2	$2 \sec (y) \cos (y) = 2$
14863	Verify the Identity	3arcsin(x)=pi	$3 \arcsin (x) = π$
14864	Verify the Identity	sin(0)^4-cos(0)^4=2sin(0)^2-1	$\sin^{4} (0) - \cos^{4} (0) = 2 \sin^{2} (0) - 1$
14865	Verify the Identity	sin(x)^2-7sin(x)=0	$\sin^{2} (x) - 7 \sin (x) = 0$
14866	Verify the Identity	sin(x)^2+cos(2x)=1-sin(x)^2	$\sin^{2} (x) + \cos (2 x) = 1 - \sin^{2} (x)$
14867	Verify the Identity	sin(x)^2+sin(x)^2cot(x)^2=1	$\sin^{2} (x) + \sin^{2} (x) \cot^{2} (x) = 1$
14868	Verify the Identity	(tan(x)-cot(x))/(tan(x)+cot(x))=1-2cos(x)^2	$\frac{\tan (x) - \cot (x)}{\tan (x) + \cot (x)} = 1 - 2 \cos^{2} (x)$
14869	Verify the Identity	tan(2x)^2-1=0	$\tan^{2} (2 x) - 1 = 0$
14870	Verify the Identity	square root of (1+sin(x))/(1-sin(x))=(1+sin(x))/(\|cos(x)\|)	$\sqrt{\frac{1 + \sin (x)}{1 - \sin (x)}} = \frac{1 + \sin (x)}{\| \cos (x) \|}$
14871	Verify the Identity	x^2+2xcos(x-y)+1=0	$x^{2} + 2 x \cos (x - y) + 1 = 0$
14872	Verify the Identity	cot(x)^2+csc(x)^2=2csc(x)^2-1	$\cot^{2} (x) + \csc^{2} (x) = 2 \csc^{2} (x) - 1$
14873	Solve for X	log of X^2=6	$\log (X^{2}) = 6$
14874	Verify the Identity	(csc(u)sin(u))/(cot(u))=tan(u)	$\frac{\csc (u) \sin (u)}{\cot (u)} = \tan (u)$
14875	Verify the Identity	cot(x)^4-1=cot(x)^2csc(x)^2-csc(x)^2	$\cot^{4} (x) - 1 = \cot^{2} (x) \csc^{2} (x) - \csc^{2} (x)$
14876	Verify the Identity	(csc(x))/(sec(x)-tan(x))-(csc(x))/(sec(x)+tan(x))=2sec(x)	$\frac{\csc (x)}{\sec (x) - \tan (x)} - \frac{\csc (x)}{\sec (x) + \tan (x)} = 2 \sec (x)$
14877	Verify the Identity	csc(x/2)^2=2/(1-cos(x))	$\csc^{2} (\frac{x}{2}) = \frac{2}{1 - \cos (x)}$
14878	Verify the Identity	(sec(x))/(1+sec(x))=(1-cos(x))/(sin(x)^2)	$\frac{\sec (x)}{1 + \sec (x)} = \frac{1 - \cos (x)}{\sin^{2} (x)}$
14879	Verify the Identity	(sec(t)+csc(t))/(1+cot(t))=sec(t)	$\frac{\sec (t) + \csc (t)}{1 + \cot (t)} = \sec (t)$
14880	Verify the Identity	cos(x)^3=cos(x)	$\cos^{3} (x) = \cos (x)$
14881	Verify the Identity	cos(x)^3=cos(x)-sin(x)^2cos(x)	$\cos^{3} (x) = \cos (x) - \sin^{2} (x) \cos (x)$
14882	Verify the Identity	cos(x)^2=(1+cos(2x))/2	$\cos^{2} (x) = \frac{1 + \cos (2 x)}{2}$
14883	Verify the Identity	(cot(x)-tan(x))/(cot(x)+tan(x))=cos(2x)	$\frac{\cot (x) - \tan (x)}{\cot (x) + \tan (x)} = \cos (2 x)$
14884	Verify the Identity	(cot(x)tan(x))/(sin(x))=csc(x)	$\frac{\cot (x) \tan (x)}{\sin (x)} = \csc (x)$
14885	Verify the Identity	(cot(theta))/(1+tan(-theta))+(tan(theta))/(1+cot(-theta))=cot(theta)+tan(theta)+1	$\frac{\cot (θ)}{1 + \tan (- θ)} + \frac{\tan (θ)}{1 + \cot (- θ)} = \cot (θ) + \tan (θ) + 1$
14886	Verify the Identity	cot(A)^2+csc(A)^2=-cot(A)^4+csc(A)^4	$\cot^{2} (A) + \csc^{2} (A) = - \cot^{4} (A) + \csc^{4} (A)$
14887	Verify the Identity	sec(x)^2-1=0	$\sec^{2} (x) - 1 = 0$
14888	Verify the Identity	(sec(x))/(tan(x))=(tan(x))/(sec(x)-cos(x))	$\frac{\sec (x)}{\tan (x)} = \frac{\tan (x)}{\sec (x) - \cos (x)}$
14889	Verify the Identity	(sec(x+1))/(tan(x))=(tan(x))/(sec(x-1))	$\frac{\sec (x + 1)}{\tan (x)} = \frac{\tan (x)}{\sec (x - 1)}$
14890	Verify the Identity	(sin(x))/(cos(x))+(cos(x))/(sin(x))=sec(x)csc(x)	$\frac{\sin (x)}{\cos (x)} + \frac{\cos (x)}{\sin (x)} = \sec (x) \csc (x)$
14891	Verify the Identity	(sin(2a))/(1+cos(2a))=tan(a)	$\frac{\sin (2 a)}{1 + \cos (2 a)} = \tan (a)$
14892	Verify the Identity	(sin(5x)+sin(7x))/(cos(5x)+cos(7x))=tan(6x)	$\frac{\sin (5 x) + \sin (7 x)}{\cos (5 x) + \cos (7 x)} = \tan (6 x)$
14893	Verify the Identity	(sin(a))/(1-cos(a))=(1+cos(a))/(sin(a))	$\frac{\sin (a)}{1 - \cos (a)} = \frac{1 + \cos (a)}{\sin (a)}$
14894	Verify the Identity	(sin(a))/(1-cos(a))-cot(a)=csc(a)	$\frac{\sin (a)}{1 - \cos (a)} - \cot (a) = \csc (a)$
14895	Verify the Identity	(sin(2x))/(2sin(x)^2)=cot(x)	$\frac{\sin (2 x)}{2 \sin^{2} (x)} = \cot (x)$
14896	Verify the Identity	(sin(a+B))/(cos(a)cos(B))=tan(a)+tan(B)	$\frac{\sin (a + B)}{\cos (a) \cos (B)} = \tan (a) + \tan (B)$
14897	Verify the Identity	(sin(w)+cos(w))/(cos(w))=1+tan(w)	$\frac{\sin (w) + \cos (w)}{\cos (w)} = 1 + \tan (w)$
14898	Verify the Identity	(sin(a-b))/(cos(a)sin(b))=tan(a)cot(b)-1	$\frac{\sin (a - b)}{\cos (a) \sin (b)} = \tan (a) \cot (b) - 1$
14899	Verify the Identity	(sin(x))/(1-cos(x))-1/(sin(x))=cot(x)	$\frac{\sin (x)}{1 - \cos (x)} - \frac{1}{\sin (x)} = \cot (x)$
14900	Verify the Identity	(sin(y)+tan(y))/(1+sec(y))=sin(y)	$\frac{\sin (y) + \tan (y)}{1 + \sec (y)} = \sin (y)$