Mathway | Các bài toán phổ biến

Những bài toán phổ biến

Hạng	Chủ đề	Bài toán	Bài toán đã được định dạng
15301	Rút gọn	cos(x)^2csc(x)-csc(x)	$\cos^{2} (x) \csc (x) - \csc (x)$
15302	Rút gọn	cos(t)^4-sin(t)^4	$\cos^{4} (t) - \sin^{4} (t)$
15303	Rút gọn	cos(x)^3+64	$\cos^{3} (x) + 64$
15304	Rút gọn	cos(60)^2+sec(150)^2+csc(225)^2	$\cos^{2} (60) + \sec^{2} (150) + \csc^{2} (225)$
15305	Rút gọn	cos(67.5)^2-sin(67.5)^2	$\cos^{2} (67.5) - \sin^{2} (67.5)$
15306	Rút gọn	cos(a)^2-sin(a)^2	$\cos^{2} (a) - \sin^{2} (a)$
15307	Rút gọn	cos(x)^2(1-sec(x)^2)	$\cos^{2} (x) (1 - \sec^{2} (x))$
15308	Rút gọn	cos(45)^2-sin(45)^2	$\cos^{2} (45) - \sin^{2} (45)$
15309	Rút gọn	cos(4x)^2	$\cos^{2} (4 x)$
15310	Rút gọn	cos(5x)^2+sin(5x)^2	$\cos^{2} (5 x) + \sin^{2} (5 x)$
15311	Rút gọn	cos(5x)^2-sin(5x)^2	$\cos^{2} (5 x) - \sin^{2} (5 x)$
15312	Rút gọn	csc(x)^2-4csc(x)+3	$\csc^{2} (x) - 4 \csc (x) + 3$
15313	Rút gọn	csc(x)^4-cot(x)^4-2cot(x)^2	$\csc^{4} (x) - \cot^{4} (x) - 2 \cot^{2} (x)$
15314	Rút gọn	csc(x)^3-csc(x)^2-csc(x)+1	$\csc^{3} (x) - \csc^{2} (x) - \csc (x) + 1$
15315	Rút gọn	csc(75)^2-tan(15)^2	$\csc^{2} (75) - \tan^{2} (15)$
15316	Rút gọn	(csc(x))/(cot(x))-(cot(x))/(csc(x))	$\frac{\csc (x)}{\cot (x)} - \frac{\cot (x)}{\csc (x)}$
15317	Rút gọn	(csc(x)+1)/(cos(x)+cot(x))	$\frac{\csc (x) + 1}{\cos (x) + \cot (x)}$
15318	Rút gọn	(csc(x))/(cos(x))	$\frac{\csc (x)}{\cos (x)}$
15319	Rút gọn	(csc(x))/(csc(x))	$\frac{\csc (x)}{\csc (x)}$
15320	Rút gọn	(csc(x)cos(x)^2)/(1+csc(x))	$\frac{\csc (x) \cos^{2} (x)}{1 + \csc (x)}$
15321	Rút gọn	(csc(B))/(cos(B))-(cos(B))/(sin(B))	$\frac{\csc (B)}{\cos (B)} - \frac{\cos (B)}{\sin (B)}$
15322	Rút gọn	(csc(x))/(1+cot(x)^2)	$\frac{\csc (x)}{1 + \cot^{2} (x)}$
15323	Rút gọn	(csc(x)+cot(x))/(tan(x)+sin(x))	$\frac{\csc (x) + \cot (x)}{\tan (x) + \sin (x)}$
15324	Rút gọn	(csc(x))/(cot(-x))	$\frac{\csc (x)}{\cot (- x)}$
15325	Rút gọn	(csc(x))/(sin(x))-(cot(x))/(tan(x))	$\frac{\csc (x)}{\sin (x)} - \frac{\cot (x)}{\tan (x)}$
15326	Rút gọn	cot(x)^3	$\cot^{3} (x)$
15327	Rút gọn	cot(x)^3+cot(x)^2+cot(x)+1	$\cot^{3} (x) + \cot^{2} (x) + \cot (x) + 1$
15328	Rút gọn	(csc(x)tan(x))/(sec(x))	$\frac{\csc (x) \tan (x)}{\sec (x)}$
15329	Rút gọn	(csc(b)tan(b))/(sec(b))	$\frac{\csc (b) \tan (b)}{\sec (b)}$
15330	Rút gọn	(h-2)/(h^2+4h+4)+(h-2)/(h+2)	$\frac{h - 2}{h^{2} + 4 h + 4} + \frac{h - 2}{h + 2}$
15331	Rút gọn	e^5x^2	$e^{5} x^{2}$
15332	Rút gọn	i^127	$i^{127}$
15333	Rút gọn	-i^57	$- i^{57}$
15334	Rút gọn	tan(x)^2+sin(x)csc(x)	$\tan^{2} (x) + \sin (x) \csc (x)$
15335	Rút gọn	tan(x)^3-tan(x)sec(x)^2	$\tan^{3} (x) - \tan (x) \sec^{2} (x)$
15336	Rút gọn	tan(45)^9+csc(60)^2+sin(30)+cos(60)^2	$\tan^{9} (45) + \csc^{2} (60) + \sin (30) + \cos^{2} (60)$
15337	Rút gọn	arctan(tan((3pi)/5))	$\arctan (\tan (\frac{3 π}{5}))$
15338	Rút gọn	arctan(sin((3pi)/2))	$\arctan (\sin (\frac{3 π}{2}))$
15339	Rút gọn	tan((7pi)/2)^2-sec((7pi)/2)^2	$\tan^{2} (\frac{7 π}{2}) - \sec^{2} (\frac{7 π}{2})$
15340	Rút gọn	tan(a)^2-sin(a)^2	$\tan^{2} (a) - \sin^{2} (a)$
15341	Rút gọn	tan(0)^2-tan(0)	$\tan^{2} (0) - \tan (0)$
15342	Rút gọn	arctan(8)	$\arctan (8)$
15343	Rút gọn	arctan(5/7)	$\arctan (\frac{5}{7})$
15344	Rút gọn	arctan(5)	$\arctan (5)$
15345	Rút gọn	(tan(x)-1)/(tan(x)+1)	$\frac{\tan (x) - 1}{\tan (x) + 1}$
15346	Rút gọn	(tan(x)+cot(y))/(tan(x)cot(y))	$\frac{\tan (x) + \cot (y)}{\tan (x) \cot (y)}$
15347	Rút gọn	(tan(x)+sin(x)sec(x))/(csc(x)tan(x))	$\frac{\tan (x) + \sin (x) \sec (x)}{\csc (x) \tan (x)}$
15348	Rút gọn	(tan(x)cot(x))/(sec(x))	$\frac{\tan (x) \cot (x)}{\sec (x)}$
15349	Rút gọn	(tan(x)-cot(x))/(sin(x)cos(x))	$\frac{\tan (x) - \cot (x)}{\sin (x) \cos (x)}$
15350	Rút gọn	(tan(x)-cot(x))/(tan(x)+cot(x))	$\frac{\tan (x) - \cot (x)}{\tan (x) + \cot (x)}$
15351	Rút gọn	(tan(-x))/(-tan(x))	$\frac{\tan (- x)}{- \tan (x)}$
15352	Rút gọn	arctan(35/25)-arctan(6/25)	$\arctan (\frac{35}{25}) - \arctan (\frac{6}{25})$
15353	Rút gọn	arctan(4/3)	$\arctan (\frac{4}{3})$
15354	Rút gọn	sin(x)^2cos(x)csc(x)^3sec(x)	$\sin^{2} (x) \cos (x) \csc^{3} (x) \sec (x)$
15355	Rút gọn	sin(x)^3	$\sin^{3} (x)$
15356	Rút gọn	sin(t)^3+cos(t)^3+sin(t)cos(t)^2+sin(t)^2cos(t)	$\sin^{3} (t) + \cos^{3} (t) + \sin (t) \cos^{2} (t) + \sin^{2} (t) \cos (t)$
15357	Rút gọn	sin(2x)^4	$\sin^{4} (2 x)$
15358	Rút gọn	sin(x)^4-2sin(x)^2+1	$\sin^{4} (x) - 2 \sin^{2} (x) + 1$
15359	Rút gọn	sin(x)^4-2	$\sin^{4} (x) - 2$
15360	Rút gọn	(tan(pi/18)+tan(pi/9))/(1-tan(pi/18)tan(pi/9))	$\frac{\tan (\frac{π}{18}) + \tan (\frac{π}{9})}{1 - \tan (\frac{π}{18}) \tan (\frac{π}{9})}$
15361	Rút gọn	(tan(pi/3))/2-1/(sec(pi/6))	$\frac{\tan (\frac{π}{3})}{2} - \frac{1}{\sec (\frac{π}{6})}$
15362	Rút gọn	(tan(x)-sin(x))/(sin(x)tan(x))	$\frac{\tan (x) - \sin (x)}{\sin (x) \tan (x)}$
15363	Rút gọn	(tan(x)+sec(x)-1)/(tan(x)-sec(x)+1)	$\frac{\tan (x) + \sec (x) - 1}{\tan (x) - \sec (x) + 1}$
15364	Rút gọn	(tan(1/2x)+tan(1/8x))/(1-tan(1/2x)tan(1/8x))	$\frac{\tan (\frac{1}{2} x) + \tan (\frac{1}{8} x)}{1 - \tan (\frac{1}{2} x) \tan (\frac{1}{8} x)}$
15365	Rút gọn	(tan(x)+sin(x))/(csc(x)+cot(x))	$\frac{\tan (x) + \sin (x)}{\csc (x) + \cot (x)}$
15366	Rút gọn	(tan(-x))/(sin(-x))	$\frac{\tan (- x)}{\sin (- x)}$
15367	Rút gọn	t^(2/3)-9-3t+5t^(2/3)	$t^{\frac{2}{3}} - 9 - 3 t + 5 t^{\frac{2}{3}}$
15368	Rút gọn	(tan(t)+cot(t))/(tan(t))	$\frac{\tan (t) + \cot (t)}{\tan (t)}$
15369	Rút gọn	(tan(b))/(cot(b))	$\frac{\tan (b)}{\cot (b)}$
15370	Rút gọn	(tan(5x)tan(3x))/(1-tan(5x)tan(3x))	$\frac{\tan (5 x) \tan (3 x)}{1 - \tan (5 x) \tan (3 x)}$
15371	Rút gọn	(tan(2x))/(tan(4x)-tan(2x))	$\frac{\tan (2 x)}{\tan (4 x) - \tan (2 x)}$
15372	Rút gọn	(tan(a)+tan(b))/(1-tan(a)tan(b))	$\frac{\tan (a) + \tan (b)}{1 - \tan (a) \tan (b)}$
15373	Rút gọn	(tan(x))/1+1/(tan(x))	$\frac{\tan (x)}{1} + \frac{1}{\tan (x)}$
15374	Rút gọn	(tan(x))/(sec(x)^3)	$\frac{\tan (x)}{\sec^{3} (x)}$
15375	Rút gọn	(tan(t))/(cot(t))*(cos(t))/(sec(t))	$\frac{\tan (t)}{\cot (t)} \cdot \frac{\cos (t)}{\sec (t)}$
15376	Rút gọn	(tan(x))/(csc(x)^2)+(tan(x))/(sec(x)^2)	$\frac{\tan (x)}{\csc^{2} (x)} + \frac{\tan (x)}{\sec^{2} (x)}$
15377	Rút gọn	(tan(pi/3))/2+1/(sec(pi/6))	$\frac{\tan (\frac{π}{3})}{2} + \frac{1}{\sec (\frac{π}{6})}$
15378	Rút gọn	(tan(2x)-tan(2x-pi))/(1+tan(2x)tan(2x-pi))	$\frac{\tan (2 x) - \tan (2 x - π)}{1 + \tan (2 x) \tan (2 x - π)}$
15379	Rút gọn	(tan(pi/4))/2-1/(csc(pi/6))	$\frac{\tan (\frac{π}{4})}{2} - \frac{1}{\csc (\frac{π}{6})}$
15380	Rút gọn	(tan(pi/4))/2+1/(csc(pi/6))	$\frac{\tan (\frac{π}{4})}{2} + \frac{1}{\csc (\frac{π}{6})}$
15381	Rút gọn	(tan(pi/4))/2+1/(sec(pi/3))	$\frac{\tan (\frac{π}{4})}{2} + \frac{1}{\sec (\frac{π}{3})}$
15382	Rút gọn	(tan(3x)+tan(8x))/(1-tan(3x)tan(8x))	$\frac{\tan (3 x) + \tan (8 x)}{1 - \tan (3 x) \tan (8 x)}$
15383	Rút gọn	(tan(6x)+tan(2x))/(1-tan(6x)tan(2x))	$\frac{\tan (6 x) + \tan (2 x)}{1 - \tan (6 x) \tan (2 x)}$
15384	Rút gọn	(tan(x)+cot(x))/(sec(x)csc(x))	$\frac{\tan (x) + \cot (x)}{\sec (x) \csc (x)}$
15385	Rút gọn	(tan(x))/(sin(x)sec(x))	$\frac{\tan (x)}{\sin (x) \sec (x)}$
15386	Rút gọn	(tan(x))/(sec(x)sin(x))	$\frac{\tan (x)}{\sec (x) \sin (x)}$
15387	Rút gọn	(tan(x))/(csc(x))	$\frac{\tan (x)}{\csc (x)}$
15388	Rút gọn	tan(1)^x	${\tan (1)}^{x}$
15389	Rút gọn	x^2+11x+24	$x^{2} + 11 x + 24$
15390	Rút gọn	x^2+9x(1/x*(-1))	$x^{2} + 9 x (\frac{1}{x} \cdot (- 1))$
15391	Rút gọn	x/25-x/(25/(x/2))	$\frac{x}{25} - \frac{x}{\frac{25}{\frac{x}{2}}}$
15392	Rút gọn	x/3-1/3-1/5	$\frac{x}{3} - \frac{1}{3} - \frac{1}{5}$
15393	Rút gọn	x/(x^2-y^2)-y/(x^2-y^2)	$\frac{x}{x^{2} - y^{2}} - \frac{y}{x^{2} - y^{2}}$
15394	Rút gọn	căn bậc bốn của x- căn bậc sáu của x+ căn bậc ba của x	$\sqrt[4]{x - \sqrt[6]{x}} + \sqrt[3]{x}$
15395	Rút gọn	w^-2w^-4w^6	$w^{- 2} w^{- 4} w^{6}$
15396	Rút gọn	x/4+12	$\frac{x}{4} + 12$
15397	Rút gọn	x/(x-1)+(2x-1)/(x^2-3x+2)	$\frac{x}{x - 1} + \frac{2 x - 1}{x^{2} - 3 x + 2}$
15398	Rút gọn	căn bậc hai của -500	$\sqrt{- 500}$
15399	Rút gọn	căn bậc ba của 9x* căn bậc ba của 4y	$\sqrt[3]{9 x} \cdot \sqrt[3]{4 y}$
15400	Rút gọn	căn bậc ba của 32a^2b^4- căn bậc ba của 4a^5b	$\sqrt[3]{32 a^{2} b^{4}} - \sqrt[3]{4 a^{5} b}$