Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
9101	Simplify	(1-tan(x))(1+cot(x))	$(1 - \tan (x)) (1 + \cot (x))$
9102	Simplify	(-1-3i)+2(4+6i)	$(- 1 - 3 i) + 2 (4 + 6 i)$
9103	Simplify	(1-sin(x)^2)csc(x)^2	$(1 - \sin^{2} (x)) \csc^{2} (x)$
9104	Simplify	(1-cos(x)^2)csc(x)	$(1 - \cos^{2} (x)) \csc (x)$
9105	Simplify	(1+sec(x))(1-sec(-x))	$(1 + \sec (x)) (1 - \sec (- x))$
9106	Simplify	(1+cos(b))(1-cos(-b))	$(1 + \cos (b)) (1 - \cos (- b))$
9107	Solve for ?	2cos(theta)- square root of 3=0	$2 \cos (θ) - \sqrt{3} = 0$
9108	Find the Exact Value	sin(( square root of 3)/2)	$\sin (\frac{\sqrt{3}}{2})$
9109	Simplify	(3i-2j)-(-7i+7j)	$(3 i - 2 j) - (- 7 i + 7 j)$
9110	Simplify	(5-5sin(x))(5+5sin(x))	$(5 - 5 \sin (x)) (5 + 5 \sin (x))$
9111	Simplify	(sin(a)-1)(sin(a)+1)	$(\sin (a) - 1) (\sin (a) + 1)$
9112	Simplify	(tan(x)+cot(x))tan(x)	$(\tan (x) + \cot (x)) \tan (x)$
9113	Simplify	(tan(x))(1-cot(x))	$(\tan (x)) (1 - \cot (x))$
9114	Simplify	(csc(x)+cot(x))(csc(x)-cot(x))	$(\csc (x) + \cot (x)) (\csc (x) - \cot (x))$
9115	Simplify	(cot(x)+tan(x))sec(x)	$(\cot (x) + \tan (x)) \sec (x)$
9116	Simplify	(csc(x)-tan(x))sin(x)cos(x)	$(\csc (x) - \tan (x)) \sin (x) \cos (x)$
9117	Simplify	(cos(x)tan(x)+1)(sin(x)-1)	$(\cos (x) \tan (x) + 1) (\sin (x) - 1)$
9118	Simplify	0.625(0.8cos(18-(56/30))+1.4cos(17-(64/30))-1.3025)-0.0015	$0.625 (0.8 \cos (18 - (\frac{56}{30})) + 1.4 \cos (17 - (\frac{64}{30})) - 1.3025) - 0.0015$
9119	Find the Reference Angle	(19pi)/9	$\frac{19 π}{9}$
9120	Solve for x	4pi+4arctan(x)=pi	$4 π + 4 \arctan (x) = π$
9121	Find Amplitude, Period, and Phase Shift	y=-5cos(6x)	$y = - 5 \cos (6 x)$
9122	Solve for x	6x-12y=108	$6 x - 12 y = 108$
9123	Find the Reference Angle	2pi	$2 π$
9124	Evaluate	tan(-60 degrees )	$\tan (- 60 °)$
9125	Solve for x	2cos(x)^2+3cos(x)+1=0	$2 \cos^{2} (x) + 3 \cos (x) + 1 = 0$
9126	Evaluate	sin(120 degrees )^2+cos(120 degrees )^2	$\sin^{2} (120 °) + \cos^{2} (120 °)$
9127	Solve for x	sin(2x-pi/4)=( square root of 2)/2	$\sin (2 x - \frac{π}{4}) = \frac{\sqrt{2}}{2}$
9128	Evaluate	csc(300 degrees )	$\csc (300 °)$
9129	Solve for x	sin(2x)+cos(2x)=1	$\sin (2 x) + \cos (2 x) = 1$
9130	Simplify	cos(2theta)	$\cos (2 θ)$
9131	Solve for x	t=50-15cos((xpi)/6)	$t = 50 - 15 \cos (\frac{x π}{6})$
9132	Solve for x	tan(x/2)giventan(x)=-( square root of 7)/3	$\tan (\frac{x}{2})$ giventan $(x) = - \frac{\sqrt{7}}{3}$
9133	Solve for y	y=2^6	$y = 2^{6}$
9134	Solve for y	sec(y)cos(y)=1	$\sec (y) \cos (y) = 1$
9135	Solve for y	y=tan(arcsec(2))	$y = \tan (arcsec (2))$
9136	Find the Reference Angle	99 degrees	$99 °$
9137	Solve for Z	sin(4x)^2-1=0	$\sin^{2} (4 x) - 1 = 0$
9138	Graph	y=sin(1/2x)+2	$y = \sin (\frac{1}{2} x) + 2$
9139	Graph	theta=(4pi)/3	$θ = \frac{4 π}{3}$
9140	Simplify	(sin(x))/(cos(x))*(cos(x))/(sin(x))	$\frac{\sin (x)}{\cos (x)} \cdot \frac{\cos (x)}{\sin (x)}$
9141	Simplify	(sin(x))/(csc(x)+1)	$\frac{\sin (x)}{\csc (x) + 1}$
9142	Simplify	(sin(x)-cos(x)+1)/(sin(x)+cos(x)-1)	$\frac{\sin (x) - \cos (x) + 1}{\sin (x) + \cos (x) - 1}$
9143	Simplify	(sin(x+y))/(sin(x)cos(y))	$\frac{\sin (x + y)}{\sin (x) \cos (y)}$
9144	Simplify	(sin(x)sec(x))/(csc(x))	$\frac{\sin (x) \sec (x)}{\csc (x)}$
9145	Simplify	(sin(x-y))/(cos(x)cos(y))	$\frac{\sin (x - y)}{\cos (x) \cos (y)}$
9146	Simplify	(sin(a))/(cos(a))	$\frac{\sin (a)}{\cos (a)}$
9147	Simplify	(sin(a))/(csc(a))+(cos(a))/(sec(a))	$\frac{\sin (a)}{\csc (a)} + \frac{\cos (a)}{\sec (a)}$
9148	Simplify	(sin(8x))/(8sin(x))-cos(x)cos(2x)cos(4x)	$\frac{\sin (8 x)}{8 \sin (x)} - \cos (x) \cos (2 x) \cos (4 x)$
9149	Simplify	sin(30)^2+cos(45)^2	$\sin^{2} (30) + \cos^{2} (45)$
9150	Simplify	sin(50)^2+cos(50)^2	$\sin^{2} (50) + \cos^{2} (50)$
9151	Simplify	sin(225)^2-cos(300)^2	$\sin^{2} (225) - \cos^{2} (300)$
9152	Simplify	sin(30)^2+cos(60)^2	$\sin^{2} (30) + \cos^{2} (60)$
9153	Simplify	sin(x)^2(1-csc(x)^2)	$\sin^{2} (x) (1 - \csc^{2} (x))$
9154	Simplify	sin(x)^2sec(x)csc(x)	$\sin^{2} (x) \sec (x) \csc (x)$
9155	Simplify	sin(pi/13)^2+cos(pi/13)^2	$\sin^{2} (\frac{π}{13}) + \cos^{2} (\frac{π}{13})$
9156	Simplify	sin(pi/3)^2+cos(pi/3)^2	$\sin^{2} (\frac{π}{3}) + \cos^{2} (\frac{π}{3})$
9157	Simplify	arcsin(sin(x))	$\arcsin (\sin (x))$
9158	Simplify	(-pi)/2	$\frac{- π}{2}$
9159	Simplify	pi/18	$\frac{π}{18}$
9160	Simplify	pi/(1/2)	$\frac{π}{\frac{1}{2}}$
9161	Simplify	pi/4+pi	$\frac{π}{4} + π$
9162	Simplify	pi/30	$\frac{π}{30}$
9163	Simplify	-pi/3	$- \frac{π}{3}$
9164	Simplify	pi/2-pi/5	$\frac{π}{2} - \frac{π}{5}$
9165	Simplify	(sec(x))/(tan(x)^2)	$\frac{\sec (x)}{\tan^{2} (x)}$
9166	Simplify	(sec(x)+csc(x))/(tan(x)+cot(x))	$\frac{\sec (x) + \csc (x)}{\tan (x) + \cot (x)}$
9167	Simplify	(sec(x)+1)/(tan(x)+sin(x))	$\frac{\sec (x) + 1}{\tan (x) + \sin (x)}$
9168	Simplify	(sec(x))/(tan(x)+cot(x))	$\frac{\sec (x)}{\tan (x) + \cot (x)}$
9169	Simplify	(sec(x))/(sin(x))+(csc(x))/(cos(x))	$\frac{\sec (x)}{\sin (x)} + \frac{\csc (x)}{\cos (x)}$
9170	Simplify	(sec(x))/(csc(x)tan(x))	$\frac{\sec (x)}{\csc (x) \tan (x)}$
9171	Simplify	pi/7	$\frac{π}{7}$
9172	Simplify	(sin(x)-csc(x))/(cos(x))	$\frac{\sin (x) - \csc (x)}{\cos (x)}$
9173	Simplify	(sin(x)cos(x))/((cos(x)+sin(x))(cos(x)+sin(x))-1)	$\frac{\sin (x) \cos (x)}{(\cos (x) + \sin (x)) (\cos (x) + \sin (x)) - 1}$
9174	Simplify	sec(x/2)^2	$\sec^{2} (\frac{x}{2})$
9175	Simplify	square root of 6x^4*(4 square root of 10x)	$\sqrt{6 x^{4}} \cdot (4 \sqrt{10 x})$
9176	Simplify	cube root of 6a^4b^2+ cube root of 162a^4b^2	$\sqrt[3]{6 a^{4} b^{2}} + \sqrt[3]{162 a^{4} b^{2}}$
9177	Simplify	tan(x)^3+8	$\tan^{3} (x) + 8$
9178	Simplify	fifth root of 3- square root of 98+ square root of 48+ sixth root of 2	$\sqrt[5]{3} - \sqrt{98} + \sqrt{48} + \sqrt[6]{2}$
9179	Simplify	(tan(x)+cot(x))/(sec(x))	$\frac{\tan (x) + \cot (x)}{\sec (x)}$
9180	Simplify	(tan(x))/(1-cos(x)^2)	$\frac{\tan (x)}{1 - \cos^{2} (x)}$
9181	Simplify	(tan(t)+1)/(sec(t))	$\frac{\tan (t) + 1}{\sec (t)}$
9182	Simplify	(tan(pi/2-x))/(csc(x))	$\frac{\tan (\frac{π}{2} - x)}{\csc (x)}$
9183	Simplify	(tan(112.5))/(1-tan(112.5)^2)	$\frac{\tan (112.5)}{1 - \tan^{2} (112.5)}$
9184	Simplify	sin(x)^2cos(x)	$\sin^{2} (x) \cos (x)$
9185	Simplify	(tan(x)cot(x))/(csc(x))	$\frac{\tan (x) \cot (x)}{\csc (x)}$
9186	Simplify	(tan(y))/(csc(y))	$\frac{\tan (y)}{\csc (y)}$
9187	Simplify	(tan(x)+tan(y))/(cot(x)+cot(y))	$\frac{\tan (x) + \tan (y)}{\cot (x) + \cot (y)}$
9188	Simplify	arctan(2)	$\arctan (2)$
9189	Simplify	arctan(tan(pi/4))	$\arctan (\tan (\frac{π}{4}))$
9190	Simplify	tan(x)^2csc(x)^2	$\tan^{2} (x) \csc^{2} (x)$
9191	Simplify	(f(x+h)-f(x))/h	$\frac{f (x + h) - f (x)}{h}$
9192	Simplify	i/(3-2i)-(2i)/(3+8i)	$\frac{i}{3 - 2 i} - \frac{2 i}{3 + 8 i}$
9193	Simplify	(csc(x)-cot(x))/(sec(x)-1)	$\frac{\csc (x) - \cot (x)}{\sec (x) - 1}$
9194	Simplify	(csc(x)sec(x))/(cot(x))	$\frac{\csc (x) \sec (x)}{\cot (x)}$
9195	Simplify	(csc(x))/(tan(x))	$\frac{\csc (x)}{\tan (x)}$
9196	Simplify	csc(x)^2-(cot(x))/(tan(x))	$\csc^{2} (x) - \frac{\cot (x)}{\tan (x)}$
9197	Simplify	csc(x)^2(1-cos(x)^2)	$\csc^{2} (x) (1 - \cos^{2} (x))$
9198	Simplify	cos(3x)^2+sin(3x)^2	$\cos^{2} (3 x) + \sin^{2} (3 x)$
9199	Simplify	cos(4x)^2+sin(4x)^2	$\cos^{2} (4 x) + \sin^{2} (4 x)$
9200	Simplify	cos(x)^2-cos(2x)	$\cos^{2} (x) - \cos (2 x)$