Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15501	Simplify	sin(65)^2+cos(65)^2	$\sin^{2} (65) + \cos^{2} (65)$
15502	Simplify	sin(60)^2-cos(45)^2-sin(30)^2	$\sin^{2} (60) - \cos^{2} (45) - \sin^{2} (30)$
15503	Simplify	sin(90)^2+cos(90)^2	$\sin^{2} (90) + \cos^{2} (90)$
15504	Simplify	(sin(a))/(tan(a))	$\frac{\sin (a)}{\tan (a)}$
15505	Simplify	(sin(a))/(1+cos(a))+(1+cos(a))/(sin(a))	$\frac{\sin (a)}{1 + \cos (a)} + \frac{1 + \cos (a)}{\sin (a)}$
15506	Simplify	(sin(52))/(x/380)	$\frac{\sin (52)}{\frac{x}{380}}$
15507	Simplify	(sin(5x)-sin(3x))/(sin(5x)+sin(3x))	$\frac{\sin (5 x) - \sin (3 x)}{\sin (5 x) + \sin (3 x)}$
15508	Simplify	(sin(2x))/(sin(x))-(cos(2x))/(cos(x))	$\frac{\sin (2 x)}{\sin (x)} - \frac{\cos (2 x)}{\cos (x)}$
15509	Simplify	(sin(2x))/(3x)	$\frac{\sin (2 x)}{3 x}$
15510	Simplify	sin(30)^2*cos(180)+tan(0)-cot(-45)	$\sin^{2} (30) \cdot \cos (180) + \tan (0) - \cot (- 45)$
15511	Simplify	(sin(2y))/(1+cos(2y))	$\frac{\sin (2 y)}{1 + \cos (2 y)}$
15512	Simplify	(sin(3x)cot(5x))/(xcot(4x))	$\frac{\sin (3 x) \cot (5 x)}{x \cot (4 x)}$
15513	Simplify	(sin(2x))/(cos(3x))	$\frac{\sin (2 x)}{\cos (3 x)}$
15514	Simplify	(sin(t))/(csc(t))+(cos(t))/(sec(t))	$\frac{\sin (t)}{\csc (t)} + \frac{\cos (t)}{\sec (t)}$
15515	Simplify	(sin(a+b))/(cos(a)cos(b))	$\frac{\sin (a + b)}{\cos (a) \cos (b)}$
15516	Simplify	(sin(y))/(1-cos(y))	$\frac{\sin (y)}{1 - \cos (y)}$
15517	Simplify	(sin(x+y))/(sin(x-y))	$\frac{\sin (x + y)}{\sin (x - y)}$
15518	Simplify	(sin(-x)cot(x))/(sin(pi/2-x))	$\frac{\sin (- x) \cot (x)}{\sin (\frac{π}{2} - x)}$
15519	Simplify	(sin(y)+1)/(csc(y)+1)	$\frac{\sin (y) + 1}{\csc (y) + 1}$
15520	Simplify	arcsin(-0.24)	$\arcsin (- 0.24)$
15521	Simplify	(sin(x))/(csc(x)-cot(x))	$\frac{\sin (x)}{\csc (x) - \cot (x)}$
15522	Simplify	(sin(x)+sin(3x))/(2sin(2x))	$\frac{\sin (x) + \sin (3 x)}{2 \sin (2 x)}$
15523	Simplify	(sin(x))/(csc(x))+cos(x)^2	$\frac{\sin (x)}{\csc (x)} + \cos^{2} (x)$
15524	Simplify	(sin(x))/(cot(x))+cos(x)	$\frac{\sin (x)}{\cot (x)} + \cos (x)$
15525	Simplify	(sin(x))/(cos(x))*sin(x)	$\frac{\sin (x)}{\cos (x)} \cdot \sin (x)$
15526	Simplify	(sin(x)+2sin(x)cos(x))/(2+cos(x)-2sin(x)^2x)	$\frac{\sin (x) + 2 \sin (x) \cos (x)}{2 + \cos (x) - 2 \sin^{2} (x) x}$
15527	Solve for Z	14(1-cos(x))=sin(x)^2	$14 (1 - \cos (x)) = \sin^{2} (x)$
15528	Solve for z	2sin(z)^2-5cos(z)+1=0	$2 \sin^{2} (z) - 5 \cos (z) + 1 = 0$
15529	Solve for Z	18=4(x)	$18 = 4 (x)$
15530	Solve for ?	2cos(theta)=1	$2 \cos (θ) = 1$
15531	Solve for Z	2sin(2x)-3sin(x)	$2 \sin (2 x) - 3 \sin (x)$
15532	Solve for z	sin(z)^2=3/4	$\sin^{2} (z) = \frac{3}{4}$
15533	Solve for θ in Radians	2sin(theta)^2-3sin(theta)+1=0	$\sin (2 x) \cos (5 x) - \sin (5 x) \cos (2 x)$
15534	Graph	y=-1+6cos((2pi)/7*(x-5))	$y = - 1 + 6 \cos (\frac{2 π}{7} \cdot (x - 5))$
15535	Expand the Trigonometric Expression	tan(theta)	$\tan (θ)$
15536	Convert from Radians to Degrees	(6pi)/7	$\frac{6 π}{7}$
15537	Solve for Z	r=5sin(x)	$r = 5 \sin (x)$
15538	Solve for Z	csc(theta)=-3	$\csc (θ) = - 3$
15539	Solve for Z	cos(x)+10sec(x)=7	$\cos (x) + 10 \sec (x) = 7$
15540	Solve for y	y=cot(x)	$y = \cot (x)$
15541	Solve for y1	y-a=m(x-b)	$y - a = m (x - b)$
15542	Find the Exact Value	arctan( square root of 3)	$\arctan (\sqrt{3})$
15543	Solve for y	y=3f(x)	$y = 3 f (x)$
15544	Convert from Radians to Degrees	6pi	$6 π$
15545	Solve for y	y=csc(x)	$y = \csc (x)$
15546	Solve for y	y=4cos(4pix)	$y = 4 \cos (4 π x)$
15547	Solve for Y	y^2=9x	$y^{2} = 9 x$
15548	Solve for y	9/7y-14=-5	$\frac{9}{7} y - 14 = - 5$
15549	Solve for y	9/(y^2-9)-5/(y+3)=4/(y-3)	$\frac{9}{y^{2} - 9} - \frac{5}{y + 3} = \frac{4}{y - 3}$
15550	Solve for y	e^(y+6)=8	$e^{y + 6} = 8$
15551	Solve for y	3 square root of x+4y=0	$3 \sqrt{x} + 4 y = 0$
15552	Solve for y	4y=12x-3	$4 y = 12 x - 3$
15553	Solve for y	y = square root of x	$y = \sqrt{x}$
15554	Solve for y	4x-8y=10	$4 x - 8 y = 10$
15555	Find the Reference Angle	(6pi)/7	$\frac{6 π}{7}$
15556	Solve for y	y=3-2cos(x)	$y = 3 - 2 \cos (x)$
15557	Solve for y	y=x^3-3x^2+2x	$y = x^{3} - 3 x^{2} + 2 x$
15558	Solve for x	tan(28)=x/5280	$\tan (28) = \frac{x}{5280}$
15559	Solve for x	tan(x/2)cos(x)=24/25	$\tan (\frac{x}{2}) \cos (x) = \frac{24}{25}$
15560	Evaluate	tan((13pi)/4)	$\tan (\frac{13 π}{4})$
15561	Solve for x	tan(3x)=( square root of 3)/3	$\tan (3 x) = \frac{\sqrt{3}}{3}$
15562	Solve for x	sin(x)cos(x)=-( square root of 3)/4	$\sin (x) \cos (x) = - \frac{\sqrt{3}}{4}$
15563	Evaluate	sin(-240)	$\sin (- 240)$
15564	Solve for x	sin(x)-tan(x)=0	$\sin (x) - \tan (x) = 0$
15565	Solve for x	sin(x+pi/6)+sin(x-pi/6)=0	$\sin (x + \frac{π}{6}) + \sin (x - \frac{π}{6}) = 0$
15566	Solve for x	tan(x)+1=sec(x)	$\tan (x) + 1 = \sec (x)$
15567	Solve for x	tan(80)=12/x	$\tan (80) = \frac{12}{x}$
15568	Solve for x	tan(x)=3/5	$\tan (x) = \frac{3}{5}$
15569	Solve for x	tan(x)=9	$\tan (x) = 9$
15570	Solve for x	x=arcsin(0.5)	$x = \arcsin (0.5)$
15571	Evaluate	cot(-pi/6)	$\cot (- \frac{π}{6})$
15572	Solve for x	sin(45)=x	$\sin (45) = x$
15573	Evaluate	tan(arcsin(-4/5))	$\tan (\arcsin (- \frac{4}{5}))$
15574	Solve for x	sin(x)=a	$\sin (x) = a$
15575	Solve for x	sin(x) = square root of 3	$\sin (x) = \sqrt{3}$
15576	Find Amplitude, Period, and Phase Shift	y=2sin(2x-pi)	$y = 2 \sin (2 x - π)$
15577	Solve for x	sin(2x)-( square root of 3)/2=0	$\sin (2 x) - \frac{\sqrt{3}}{2} = 0$
15578	Solve for x	sin(0.1682)=x	$\sin (0.1682) = x$
15579	Find the Reference Angle	7pi	$7 π$
15580	Solve for x	sin(2x-pi)=y	$\sin (2 x - π) = y$
15581	Evaluate	10*sin(30)	$10 \cdot \sin (30)$
15582	Solve for x	x=(50.8sin(30))/79	$x = \frac{50.8 \sin (30)}{79}$
15583	Solve for x	x-pi/6=0	$x - \frac{π}{6} = 0$
15584	Solve for x	x=(7pi)/12+2pi	$x = \frac{7 π}{12} + 2 π$
15585	Solve for x	x=7 square root of 2	$x = 7 \sqrt{2}$
15586	Evaluate	sin(-(5pi)/4)	$\sin (- \frac{5 π}{4})$
15587	Solve for x	x^4-10x^2+16=0	$x^{4} - 10 x^{2} + 16 = 0$
15588	Solve for x	x(x-20)+3(x-20)=0	$x (x - 20) + 3 (x - 20) = 0$
15589	Solve for x	x+1/7=-2/5	$x + \frac{1}{7} = - \frac{2}{5}$
15590	Solve for x	x=17/(cos(51))	$x = \frac{17}{\cos (51)}$
15591	Solve for y	2^y=x	$2^{y} = x$
15592	Solve for y	-2/3y=12	$- \frac{2}{3} y = 12$
15593	Solve for x	x-pi/4=pi	$x - \frac{π}{4} = π$
15594	Solve for y	(6+y)(2y-1)=0	$(6 + y) (2 y - 1) = 0$
15595	Solve for x	y=(x+7)/(24- square root of x^2-49)	$y = \frac{x + 7}{24 - \sqrt{x^{2} - 49}}$
15596	Solve for x	2sin(x)cos(x) = square root of 3sin(x)	$2 \sin (x) \cos (x) = \sqrt{3} \sin (x)$
15597	Find Amplitude, Period, and Phase Shift	y=4sin(1/3x)	$y = 4 \sin (\frac{1}{3} x)$
15598	Solve for ?	cos(theta)+1=0	$\cos (θ) + 1 = 0$
15599	Solve for x	3\|x+5\|+6=15	$3 \| x + 5 \| + 6 = 15$
15600	Solve for x	2x+5/2=3/x	$2 x + \frac{5}{2} = \frac{3}{x}$