Mathway | Các bài toán phổ biến

Những bài toán phổ biến

Hạng	Chủ đề	Bài toán	Bài toán đã được định dạng
9201	Rút gọn	cos(3x)^2+sin(3x)^2	$\cos^{2} (3 x) + \sin^{2} (3 x)$
9202	Rút gọn	cos(4x)^2+sin(4x)^2	$\cos^{2} (4 x) + \sin^{2} (4 x)$
9203	Rút gọn	cos(x)^2-cos(2x)	$\cos^{2} (x) - \cos (2 x)$
9204	Rút gọn	cos(t)^4-cos(t)^2	$\cos^{4} (t) - \cos^{2} (t)$
9205	Rút gọn	cos(2t)^4	$\cos^{4} (2 t)$
9206	Rút gọn	cos(x)^2sec(x-1)^2	$\cos^{2} (x) \sec^{2} (x - 1)$
9207	Rút gọn	(cot(x))/(cos(x))	$\frac{\cot (x)}{\cos (x)}$
9208	Rút gọn	(cot(x))/(cos(x))-csc(x)	$\frac{\cot (x)}{\cos (x)} - \csc (x)$
9209	Rút gọn	(cot(x))/(sec(x)^2)+(cot(x))/(csc(x)^2)	$\frac{\cot (x)}{\sec^{2} (x)} + \frac{\cot (x)}{\csc^{2} (x)}$
9210	Rút gọn	(cot(x))/(csc(x)cos(x))	$\frac{\cot (x)}{\csc (x) \cos (x)}$
9211	Rút gọn	(cot(a))/(csc(a))	$\frac{\cot (a)}{\csc (a)}$
9212	Rút gọn	cot(x)^2sin(x)^2	$\cot^{2} (x) \sin^{2} (x)$
9213	Rút gọn	arccot(1)	$arccot (1)$
9214	Rút gọn	cot(45)^2-cos(60)+3tan(45)	$\cot^{2} (45) - \cos (60) + 3 \tan (45)$
9215	Rút gọn	a/b-b/a	$\frac{a}{b} - \frac{b}{a}$
9216	Rút gọn	(cos(x)tan(x))/(sin(x))	$\frac{\cos (x) \tan (x)}{\sin (x)}$
9217	Rút gọn	(cos(3x)-cos(x))/(sin(3x)+sin(x))	$\frac{\cos (3 x) - \cos (x)}{\sin (3 x) + \sin (x)}$
9218	Rút gọn	cos(sec(x-1)^2)^2	$\cos^{2} (\sec^{2} (x - 1))$
9219	Rút gọn	cos(2x)^2-sin(2x)^2	$\cos^{2} (2 x) - \sin^{2} (2 x)$
9220	Rút gọn	(cos(x))/(tan(x))	$\frac{\cos (x)}{\tan (x)}$
9221	Rút gọn	(cos(x)csc(x))/(cot(x))	$\frac{\cos (x) \csc (x)}{\cot (x)}$
9222	Rút gọn	(cos(x)csc(x))/(sin(x)cot(x))	$\frac{\cos (x) \csc (x)}{\sin (x) \cot (x)}$
9223	Rút gọn	(cos(-x))/(sin(-x))-(cos(-x))/(sin(x))	$\frac{\cos (- x)}{\sin (- x)} - \frac{\cos (- x)}{\sin (x)}$
9224	Rút gọn	(cos(x))/(1+sin(x))+(1-sin(x))/(cos(x))	$\frac{\cos (x)}{1 + \sin (x)} + \frac{1 - \sin (x)}{\cos (x)}$
9225	Rút gọn	(7a)/(a^2+9a+8)-(6a)/(a^2+8a+7)	$\frac{7 a}{a^{2} + 9 a + 8} - \frac{6 a}{a^{2} + 8 a + 7}$
9226	Rút gọn	(8pi)/5	$\frac{8 π}{5}$
9227	Rút gọn	(5pi)/4-pi	$\frac{5 π}{4} - π$
9228	Rút gọn	7/x-(7-4x)/x	$\frac{7}{x} - \frac{7 - 4 x}{x}$
9229	Rút gọn	(-5pi)/9	$\frac{- 5 π}{9}$
9230	Rút gọn	(3(sec(x)^2-tan(x)^2))/(2sec(x)^3)	$\frac{3 (\sec^{2} (x) - \tan^{2} (x))}{2 \sec^{3} (x)}$
9231	Rút gọn	(2-2i)^5	${(2 - 2 i)}^{5}$
9232	Rút gọn	(9x-12)^2	${(9 x - 12)}^{2}$
9233	Rút gọn	(5i^3)^3	${(5 i^{3})}^{3}$
9234	Rút gọn	(1+i)^5	${(1 + i)}^{5}$
9235	Rút gọn	(1+sin(t))^2+cos(t)^2	${(1 + \sin (t))}^{2} + \cos^{2} (t)$
9236	Rút gọn	(1+i)^6	${(1 + i)}^{6}$
9237	Rút gọn	(1-i)^7	${(1 - i)}^{7}$
9238	Rút gọn	(1-i)^12	${(1 - i)}^{12}$
9239	Rút gọn	(1-tan(x))^2	${(1 - \tan (x))}^{2}$
9240	Rút gọn	((1-cos(2x))/2)^2	${(\frac{1 - \cos (2 x)}{2})}^{2}$
9241	Rút gọn	((w^-5)/(w^-9))^(1/2)	${(\frac{w^{- 5}}{w^{- 9}})}^{\frac{1}{2}}$
9242	Rút gọn	(cos(x)^2sin(x))/(sin(x)^2cos(x))	$\frac{\cos^{2} (x) \sin (x)}{\sin^{2} (x) \cos (x)}$
9243	Rút gọn	(cos(x)^4)/(cos(x)^2)	$\frac{\cos^{4} (x)}{\cos^{2} (x)}$
9244	Rút gọn	(cos(x)^2+16cos(x)+64)/(cos(x)+8)	$\frac{\cos^{2} (x) + 16 \cos (x) + 64}{\cos (x) + 8}$
9245	Rút gọn	((8pi)/3)/4	$\frac{\frac{8 π}{3}}{4}$
9246	Rút gọn	((3pi)/2)/(pi/2)	$\frac{\frac{3 π}{2}}{\frac{π}{2}}$
9247	Rút gọn	((36-x^2)/((x+6)^2))/((x-3)/(x^2+3x-18))	$\frac{\frac{36 - x^{2}}{{(x + 6)}^{2}}}{\frac{x - 3}{x^{2} + 3 x - 18}}$
9248	Rút gọn	((4pi)/3)/2	$\frac{\frac{4 π}{3}}{2}$
9249	Rút gọn	((7pi)/6)/2	$\frac{\frac{7 π}{6}}{2}$
9250	Rút gọn	(pi/2)/5	$\frac{\frac{π}{2}}{5}$
9251	Rút gọn	(pi/4)/4	$\frac{\frac{π}{4}}{4}$
9252	Rút gọn	(pi/3)/4	$\frac{\frac{π}{3}}{4}$
9253	Rút gọn	(cot(x)^2)/(1-sin(x)^2)	$\frac{\cot^{2} (x)}{1 - \sin^{2} (x)}$
9254	Rút gọn	(csc(pi/2-x)^2)/(1+tan(x)^2)	$\frac{\csc^{2} (\frac{π}{2} - x)}{1 + \tan^{2} (x)}$
9255	Rút gọn	((sin(x))/(cos(x)))/(1-(1-cos(2x))/(1+cos(2x)))	$\frac{\frac{\sin (x)}{\cos (x)}}{1 - \frac{1 - \cos (2 x)}{1 + \cos (2 x)}}$
9256	Rút gọn	(sin(x)^2)/(1-cos(x)^2)	$\frac{\sin^{2} (x)}{1 - \cos^{2} (x)}$
9257	Rút gọn	((1-cos(x))^2+sin(x)^2)/(1-cos(x))	$\frac{{(1 - \cos (x))}^{2} + \sin^{2} (x)}{1 - \cos (x)}$
9258	Rút gọn	cos(3x)^2	$\cos^{2} (3 x)$
9259	Rút gọn	(cos(x)-sin(x))^2	${(\cos (x) - \sin (x))}^{2}$
9260	Rút gọn	(cos(x)+cos(y))^2+(sin(x)-sin(y))^2	${(\cos (x) + \cos (y))}^{2} + {(\sin (x) - \sin (y))}^{2}$
9261	Rút gọn	(sin(x)+1)^2	${(\sin (x) + 1)}^{2}$
9262	Rút gọn	(x+14)^2	${(x + 14)}^{2}$
9263	Rút gọn	(tan(x)+sec(x))^2	${(\tan (x) + \sec (x))}^{2}$
9264	Rút gọn	(tan(x)sin(x))/(tan(x)+sin(x))	$\frac{\tan (x) \sin (x)}{\tan (x) + \sin (x)}$
9265	Rút gọn	\|6w+18\|=6	$\| 6 w + 18 \| = 6$
9266	Rút gọn	(1-(sin(x)-cos(x))^2)/(sin(x))	$\frac{1 - {(\sin (x) - \cos (x))}^{2}}{\sin (x)}$
9267	Rút gọn	(1-sin(x)^2)/(cot(x)^2)	$\frac{1 - \sin^{2} (x)}{\cot^{2} (x)}$
9268	Rút gọn	(1-sin(x)^2)/(csc(x-1)^2)	$\frac{1 - \sin^{2} (x)}{\csc^{2} (x - 1)}$
9269	Rút gọn	(1-sin(x)^2)/(sin(x))	$\frac{1 - \sin^{2} (x)}{\sin (x)}$
9270	Rút gọn	-1/((5sin(1/3x)+2)-3)-4	$- \frac{1}{(5 \sin (\frac{1}{3} x) + 2) - 3} - 4$
9271	Rút gọn	(tan(x)^2)/(1-sec(x)^2)	$\frac{\tan^{2} (x)}{1 - \sec^{2} (x)}$
9272	Rút gọn	(tan(t)^2)/(sec(t)^2)+(cot(t)^2)/(csc(t)^2)	$\frac{\tan^{2} (t)}{\sec^{2} (t)} + \frac{\cot^{2} (t)}{\csc^{2} (t)}$
9273	Rút gọn	(tan(t)^2+1)/(1+cot(t)^2)	$\frac{\tan^{2} (t) + 1}{1 + \cot^{2} (t)}$
9274	Rút gọn	(sin(x)^4-cos(x)^4)/(cos(x)-sin(x))	$\frac{\sin^{4} (x) - \cos^{4} (x)}{\cos (x) - \sin (x)}$
9275	Rút gọn	1/2*cos(x)	$\frac{1}{2} \cdot \cos (x)$
9276	Rút gọn	1/2*(cos(8x-4x)-cos(8x+4x))	$\frac{1}{2} \cdot (\cos (8 x - 4 x) - \cos (8 x + 4 x))$
9277	Rút gọn	1/(1-cos(x))-(cos(x))/(1+cos(x))	$\frac{1}{1 - \cos (x)} - \frac{\cos (x)}{1 + \cos (x)}$
9278	Rút gọn	1/(cot(x))+cot(x)	$\frac{1}{\cot (x)} + \cot (x)$
9279	Rút gọn	1/(cos(x)tan(x))	$\frac{1}{\cos (x) \tan (x)}$
9280	Rút gọn	1/(csc(x)-cot(x))	$\frac{1}{\csc (x) - \cot (x)}$
9281	Rút gọn	1/(cos(x))-(sin(x)^2)/(cos(x))	$\frac{1}{\cos (x)} - \frac{\sin^{2} (x)}{\cos (x)}$
9282	Rút gọn	1/(1+cos(x))+1/(1-cos(x))	$\frac{1}{1 + \cos (x)} + \frac{1}{1 - \cos (x)}$
9283	Rút gọn	1/(1-tan(x)^2)	$\frac{1}{1 - \tan^{2} (x)}$
9284	Rút gọn	1/2((2721)sin(153))	$\frac{1}{2} \cdot ((27 \cdot 21) \sin (153))$
9285	Rút gọn	1/(tan(x)^2)	$\frac{1}{\tan^{2} (x)}$
9286	Rút gọn	1/(sin(B)^2)-1	$\frac{1}{\sin^{2} (B)} - 1$
9287	Rút gọn	1/(sin(x)^2)+1/(cos(x)^2)	$\frac{1}{\sin^{2} (x)} + \frac{1}{\cos^{2} (x)}$
9288	Rút gọn	(1-tan(x)^2)/(1-tan(x)^4)	$\frac{1 - \tan^{2} (x)}{1 - \tan^{4} (x)}$
9289	Rút gọn	1/(cos(x)^2)-(sin(x)^2)/(cos(x)^2)	$\frac{1}{\cos^{2} (x)} - \frac{\sin^{2} (x)}{\cos^{2} (x)}$
9290	Rút gọn	1/(sin(x))*1/(cos(x))	$\frac{1}{\sin (x)} \cdot \frac{1}{\cos (x)}$
9291	Rút gọn	(1+cos(x))/(1-cos(x))-(1-cos(x))/(1+cos(x))	$\frac{1 + \cos (x)}{1 - \cos (x)} - \frac{1 - \cos (x)}{1 + \cos (x)}$
9292	Rút gọn	(1+tan(x)^2)/(sec(x))	$\frac{1 + \tan^{2} (x)}{\sec (x)}$
9293	Rút gọn	(1+sin(2x)+cos(2x))/(1+sin(2x)-cos(2x))	$\frac{1 + \sin (2 x) + \cos (2 x)}{1 + \sin (2 x) - \cos (2 x)}$
9294	Rút gọn	(13pi)/4-2pi	$\frac{13 π}{4} - 2 π$
9295	Rút gọn	2/3+7/(5a)	$\frac{2}{3} + \frac{7}{5 a}$
9296	Rút gọn	(1-cos(2x))/2	$\frac{1 - \cos (2 x)}{2}$
9297	Rút gọn	2/(sin(x))	$\frac{2}{\sin (x)}$
9298	Rút gọn	(2cos(2x))/(sin(2x))	$\frac{2 \cos (2 x)}{\sin (2 x)}$
9299	Rút gọn	(2x)/(2x-2)+2/(x+2)	$\frac{2 x}{2 x - 2} + \frac{2}{x + 2}$
9300	Rút gọn	(2tan(4x))/(1-tan(4x)^2)	$\frac{2 \tan (4 x)}{1 - \tan^{2} (4 x)}$