Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15401	Simplify	square root of x+(x-3)	$\sqrt{x} + (x - 3)$
15402	Simplify	square root of 18x* square root of 12x	$\sqrt{18 x} \cdot \sqrt{12 x}$
15403	Simplify	square root of cos(a)sin(a)^2- square root of cos(a)^7	$\sqrt{\cos (a) \sin^{2} (a)} - \sqrt{\cos^{7} (a)}$
15404	Simplify	sec(x)^2*csc(x)^2	$\sec^{2} (x) \cdot \csc^{2} (x)$
15405	Simplify	sec(23)^2-tan(23)^2	$\sec^{2} (23) - \tan^{2} (23)$
15406	Simplify	sec(36)^2-cot(54)^2	$\sec^{2} (36) - \cot^{2} (54)$
15407	Simplify	sec(t)^4-tan(t)^4	$\sec^{4} (t) - \tan^{4} (t)$
15408	Simplify	sec(x)^4	$\sec^{4} (x)$
15409	Simplify	sec(x)^4-sec(x)^2	$\sec^{4} (x) - \sec^{2} (x)$
15410	Simplify	(sin((pi/2)-x))/(cos((pi/2)-x))	$\frac{\sin ((\frac{π}{2}) - x)}{\cos ((\frac{π}{2}) - x)}$
15411	Simplify	sec(pi/6)^2-8	$\sec^{2} (\frac{π}{6}) - 8$
15412	Simplify	sec(28)^2-tan(28)^2	$\sec^{2} (28) - \tan^{2} (28)$
15413	Simplify	sec(67)^2-tan(67)^2	$\sec^{2} (67) - \tan^{2} (67)$
15414	Simplify	sec(pi/3)^2-2	$\sec^{2} (\frac{π}{3}) - 2$
15415	Simplify	(sec(y))/(csc(y))	$\frac{\sec (y)}{\csc (y)}$
15416	Simplify	arcsec(3/2)	$arcsec (\frac{3}{2})$
15417	Simplify	(sec(x)csc(x)-tan(x))/(sec(x)csc(x))	$\frac{\sec (x) \csc (x) - \tan (x)}{\sec (x) \csc (x)}$
15418	Simplify	(sec(x)sin(x))/(tan(x)cot(x))	$\frac{\sec (x) \sin (x)}{\tan (x) \cot (x)}$
15419	Simplify	(sec(x)-tan(x))/(sin(x))	$\frac{\sec (x) - \tan (x)}{\sin (x)}$
15420	Simplify	sec(x)^2-cos(x)^2sec(x)^2	$\sec^{2} (x) - \cos^{2} (x) \sec^{2} (x)$
15421	Simplify	arcsec(-6)*5	$arcsec (- 6) \cdot 5$
15422	Simplify	(sin(x))/(1+cos(x))+(1+cos(x))/(sin(x))	$\frac{\sin (x)}{1 + \cos (x)} + \frac{1 + \cos (x)}{\sin (x)}$
15423	Simplify	(sin(x)+cos(x))/(cos(x))-(sin(x-cos(x)))/(sin(x))	$\frac{\sin (x) + \cos (x)}{\cos (x)} - \frac{\sin (x - \cos (x))}{\sin (x)}$
15424	Simplify	(sin(x)-cos(x))/(sin(x)cos(x))	$\frac{\sin (x) - \cos (x)}{\sin (x) \cos (x)}$
15425	Simplify	(sin(x)cos(x))/(1-(sin(x)-cos(x))(sin(x)-cos(x)))	$\frac{\sin (x) \cos (x)}{1 - (\sin (x) - \cos (x)) (\sin (x) - \cos (x))}$
15426	Simplify	(sin(x)cot(x))/(cos(x))	$\frac{\sin (x) \cot (x)}{\cos (x)}$
15427	Simplify	(sin(160))/4.7928	$\frac{\sin (160)}{4.7928}$
15428	Simplify	(sin(2x))/(2csc(x))-cos(x)^3	$\frac{\sin (2 x)}{2 \csc (x)} - \cos^{3} (x)$
15429	Simplify	(sin(2x))/(2cos(x))	$\frac{\sin (2 x)}{2 \cos (x)}$
15430	Simplify	(sin(2x))/(1-cos(2x))	$\frac{\sin (2 x)}{1 - \cos (2 x)}$
15431	Simplify	(sin(150))/15	$\frac{\sin (150)}{15}$
15432	Simplify	(sin(2x))/(sin(x)^2)	$\frac{\sin (2 x)}{\sin^{2} (x)}$
15433	Simplify	(sin(2x)+2sin(x)^2)/(cos(2x))	$\frac{\sin (2 x) + 2 \sin^{2} (x)}{\cos (2 x)}$
15434	Simplify	(sec(x)+tan(x))/(cot(x)+cos(x))	$\frac{\sec (x) + \tan (x)}{\cot (x) + \cos (x)}$
15435	Simplify	(sec(x))/(cot(x))	$\frac{\sec (x)}{\cot (x)}$
15436	Simplify	pi/6+pi/2	$\frac{π}{6} + \frac{π}{2}$
15437	Simplify	(q-3)/-5*(3q)/(q-4)	$\frac{q - 3}{- 5} \cdot \frac{3 q}{q - 4}$
15438	Simplify	pi/9*180/pi	$\frac{π}{9} \cdot \frac{180}{π}$
15439	Simplify	(sec(x))/(tan(x))-(tan(x))/(1+sec(x))	$\frac{\sec (x)}{\tan (x)} - \frac{\tan (x)}{1 + \sec (x)}$
15440	Simplify	sec(x)^6(sec(x)tan(x))	$\sec^{6} (x) (\sec (x) \tan (x))$
15441	Simplify	(sec(x)tan(x))/(cot(x)csc(x))	$\frac{\sec (x) \cdot \tan (x)}{\cot (x) \cdot \csc (x)}$
15442	Simplify	(sec(x))/(cot(x)+tan(x))	$\frac{\sec (x)}{\cot (x) + \tan (x)}$
15443	Simplify	(sec(b)tan(b))/(csc(b))	$\frac{\sec (b) \tan (b)}{\csc (b)}$
15444	Simplify	(sec(x)tan(x))/(cot(x)csc(x))	$\frac{\sec (x) \tan (x)}{\cot (x) \csc (x)}$
15445	Simplify	(sec(90-x))/(sin(90-x))*(cos(x))/(tan(90-x))-sec(x)	$\frac{\sec (90 - x)}{\sin (90 - x)} \cdot \frac{\cos (x)}{\tan (90 - x)} - \sec (x)$
15446	Simplify	(sec(t))/(tan(t))	$\frac{\sec (t)}{\tan (t)}$
15447	Simplify	(sec(t)-cos(t))/(3tan(t)sin(t))	$\frac{\sec (t) - \cos (t)}{3 \tan (t) \sin (t)}$
15448	Simplify	(sec(t)-cos(t))/(sec(t))	$\frac{\sec (t) - \cos (t)}{\sec (t)}$
15449	Simplify	(sec(t)-cos(t))/(sin(t))	$\frac{\sec (t) - \cos (t)}{\sin (t)}$
15450	Simplify	pi/2-pi/6	$\frac{π}{2} - \frac{π}{6}$
15451	Simplify	pi/2-(3pi)/8	$\frac{π}{2} - \frac{3 π}{8}$
15452	Simplify	pi/2-pi/12	$\frac{π}{2} - \frac{π}{12}$
15453	Simplify	pi/3(rad)	$\frac{π}{3} \cdot (r a d i a n s)$
15454	Simplify	pi/2-pi/2	$\frac{π}{2} - \frac{π}{2}$
15455	Simplify	pi/(2pi)	$\frac{π}{2 π}$
15456	Simplify	pi/3-pi/12	$\frac{π}{3} - \frac{π}{12}$
15457	Simplify	pi/6+(3pi)/4	$\frac{π}{6} + \frac{3 π}{4}$
15458	Simplify	pi/4+pi/8	$\frac{π}{4} + \frac{π}{8}$
15459	Simplify	-pi/4+pi/2	$- \frac{π}{4} + \frac{π}{2}$
15460	Simplify	-pi/4	$- \frac{π}{4}$
15461	Simplify	pi/4*180/pi	$\frac{π}{4} \cdot \frac{180}{π}$
15462	Simplify	pi/(1/4)	$\frac{π}{\frac{1}{4}}$
15463	Simplify	pi/(pi/2)	$\frac{π}{\frac{π}{2}}$
15464	Simplify	pi/12+pi(1)	$\frac{π}{12} + π (1)$
15465	Simplify	m^3+n^3	$m^{3} + n^{3}$
15466	Simplify	(mn)/(mn)	$\frac{m n}{m n}$
15467	Simplify	arcsin(x-pi/4)	$\arcsin (x - \frac{π}{4})$
15468	Simplify	sin(0.4)^2+cos(0.4)^2	$\sin^{2} (0.4) + \cos^{2} (0.4)$
15469	Simplify	arcsin(cos(pi/2))	$\arcsin (\cos (\frac{π}{2}))$
15470	Simplify	arcsin(sin((5pi)/6))	$\arcsin (\sin (\frac{5 π}{6}))$
15471	Simplify	arcsin(sin((5pi)/7))	$\arcsin (\sin (\frac{5 π}{7}))$
15472	Simplify	arcsin(sin(pi/11))	$\arcsin (\sin (\frac{π}{11}))$
15473	Simplify	arcsin(sin(-pi/6))	$\arcsin (\sin (- \frac{π}{6}))$
15474	Simplify	arcsin(0.6)	$\arcsin (0.6)$
15475	Simplify	arcsin(1/3)	$\arcsin (\frac{1}{3})$
15476	Simplify	arcsin(0.47)	$\arcsin (0.47)$
15477	Simplify	arcsin(0.5)	$\arcsin (0.5)$
15478	Simplify	arcsin(cos((2pi)/3))	$\arcsin (\cos (\frac{2 π}{3}))$
15479	Simplify	arcsin(1/5)	$\arcsin (\frac{1}{5})$
15480	Simplify	arcsin(3/4)	$\arcsin (\frac{3}{4})$
15481	Simplify	arcsin(0.1)	$\arcsin (0.1)$
15482	Simplify	sin(1)^2+cos(1)^2	$\sin^{2} (1) + \cos^{2} (1)$
15483	Simplify	sin(120)^2+cos(120)^2	$\sin^{2} (120) + \cos^{2} (120)$
15484	Simplify	sin(pi/8)^2+cos(pi/8)^2	$\sin^{2} (\frac{π}{8}) + \cos^{2} (\frac{π}{8})$
15485	Simplify	sin((7pi)/12)^2+cos((7pi)/12)^2	$\sin^{2} (\frac{7 π}{12}) + \cos^{2} (\frac{7 π}{12})$
15486	Simplify	sin(x)^2csc(x-1)^2	$\sin^{2} (x) \csc^{2} (x - 1)$
15487	Simplify	sin(x)^2cos(x)+2sin(x)cot(x)-cot(x)	$\sin^{2} (x) \cos (x) + 2 \sin (x) \cot (x) - \cot (x)$
15488	Simplify	sin(x)^2+cos(x)^2+cot(x)^2	$\sin^{2} (x) + \cos^{2} (x) + \cot^{2} (x)$
15489	Simplify	sin(x)^2cot(x)^2	$\sin^{2} (x) \cot^{2} (x)$
15490	Simplify	sin(x)^-2sin(x)	$\sin^{- 2} (x) \sin (x)$
15491	Simplify	sin(x)^2-sin(x)^4	$\sin^{2} (x) - \sin^{4} (x)$
15492	Simplify	sin(5x)^2	$\sin^{2} (5 x)$
15493	Simplify	sin(x)^2*(1+cot(x)^2)	$\sin^{2} (x) \cdot (1 + \cot^{2} (x))$
15494	Simplify	sin(x)^2(csc(x)^2+sec(x)^2)	$\sin^{2} (x) (\csc^{2} (x) + \sec^{2} (x))$
15495	Simplify	sin(x)^2cos(x)^2+cos(x)^4	$\sin^{2} (x) \cos^{2} (x) + \cos^{4} (x)$
15496	Simplify	sin(20)^2+1/(sec(20)^2)	$\sin^{2} (20) + \frac{1}{\sec^{2} (20)}$
15497	Simplify	sin(225)^2-cos(180)^2+tan(60)^2	$\sin^{2} (225) - \cos^{2} (180) + \tan^{2} (60)$
15498	Simplify	sin(360)^2+cos(360)^2	$\sin^{2} (360) + \cos^{2} (360)$
15499	Simplify	sin(240)^2-cos(180)^2+tan(60)^2	$\sin^{2} (240) - \cos^{2} (180) + \tan^{2} (60)$
15500	Simplify	sin(180)^2+cos(180)^2	$\sin^{2} (180) + \cos^{2} (180)$