Mathway | المسائل الشائعة

المسائل الشائعة

التصنيف	الموضوع	المسألة	مسألة منسّقة
9101	بسّط	(1-tan(x))(1+cot(x))	$(1 - \tan (x)) (1 + \cot (x))$
9102	بسّط	(-1-3i)+2(4+6i)	$(- 1 - 3 i) + 2 (4 + 6 i)$
9103	بسّط	(1-sin(x)^2)csc(x)^2	$(1 - \sin^{2} (x)) \csc^{2} (x)$
9104	بسّط	(1-cos(x)^2)csc(x)	$(1 - \cos^{2} (x)) \csc (x)$
9105	بسّط	(1+sec(x))(1-sec(-x))	$(1 + \sec (x)) (1 - \sec (- x))$
9106	بسّط	(1+cos(b))(1-cos(-b))	$(1 + \cos (b)) (1 - \cos (- b))$
9107	Resolver para ?	2cos(theta)- الجذر التربيعي لـ 3=0	$2 \cos (θ) - \sqrt{3} = 0$
9108	أوجد القيمة الدقيقة	sin(( الجذر التربيعي لـ 3)/2)	$\sin (\frac{\sqrt{3}}{2})$
9109	بسّط	(3i-2j)-(-7i+7j)	$(3 i - 2 j) - (- 7 i + 7 j)$
9110	بسّط	(5-5sin(x))(5+5sin(x))	$(5 - 5 \sin (x)) (5 + 5 \sin (x))$
9111	بسّط	(sin(a)-1)(sin(a)+1)	$(\sin (a) - 1) (\sin (a) + 1)$
9112	بسّط	(tan(x)+cot(x))tan(x)	$(\tan (x) + \cot (x)) \tan (x)$
9113	بسّط	(tan(x))(1-cot(x))	$(\tan (x)) (1 - \cot (x))$
9114	بسّط	(csc(x)+cot(x))(csc(x)-cot(x))	$(\csc (x) + \cot (x)) (\csc (x) - \cot (x))$
9115	بسّط	(cot(x)+tan(x))sec(x)	$(\cot (x) + \tan (x)) \sec (x)$
9116	بسّط	(csc(x)-tan(x))sin(x)cos(x)	$(\csc (x) - \tan (x)) \sin (x) \cos (x)$
9117	بسّط	(cos(x)tan(x)+1)(sin(x)-1)	$(\cos (x) \tan (x) + 1) (\sin (x) - 1)$
9118	بسّط	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	أوجد الزاوية المرجعية	(19pi)/9	$\frac{19 π}{9}$
9120	Resolver para x	4pi+4arctan(x)=pi	$4 π + 4 \arctan (x) = π$
9121	أوجد المطال والدورة ومرحلة التحول	y=-5cos(6x)	$y = - 5 \cos (6 x)$
9122	Resolver para x	6x-12y=108	$6 x - 12 y = 108$
9123	أوجد الزاوية المرجعية	2pi	$2 π$
9124	تقييم	tan(-60 درجات )	$\tan (- 60 °)$
9125	Resolver para x	2cos(x)^2+3cos(x)+1=0	$2 \cos^{2} (x) + 3 \cos (x) + 1 = 0$
9126	تقييم	sin(120 درجات )^2+cos(120 درجات )^2	$\sin^{2} (120 °) + \cos^{2} (120 °)$
9127	Resolver para x	sin(2x-pi/4)=( الجذر التربيعي لـ 2)/2	$\sin (2 x - \frac{π}{4}) = \frac{\sqrt{2}}{2}$
9128	تقييم	csc(300 درجات )	$\csc (300 °)$
9129	Resolver para x	sin(2x)+cos(2x)=1	$\sin (2 x) + \cos (2 x) = 1$
9130	بسّط	cos(2theta)	$\cos (2 θ)$
9131	Resolver para x	t=50-15cos((xpi)/6)	$t = 50 - 15 \cos (\frac{x π}{6})$
9132	Resolver para x	tan(x/2)giventan(x)=-( الجذر التربيعي لـ 7)/3	$\tan (\frac{x}{2})$ giventan $(x) = - \frac{\sqrt{7}}{3}$
9133	Resolver para y	y=2^6	$y = 2^{6}$
9134	Resolver para y	sec(y)cos(y)=1	$\sec (y) \cos (y) = 1$
9135	Resolver para y	y=tan(arcsec(2))	$y = \tan (arcsec (2))$
9136	أوجد الزاوية المرجعية	99 درجات	$99 °$
9137	Resolver para Z	sin(4x)^2-1=0	$\sin^{2} (4 x) - 1 = 0$
9138	الرسم البياني	y=sin(1/2x)+2	$y = \sin (\frac{1}{2} x) + 2$
9139	الرسم البياني	theta=(4pi)/3	$θ = \frac{4 π}{3}$
9140	بسّط	(sin(x))/(cos(x))*(cos(x))/(sin(x))	$\frac{\sin (x)}{\cos (x)} \cdot \frac{\cos (x)}{\sin (x)}$
9141	بسّط	(sin(x))/(csc(x)+1)	$\frac{\sin (x)}{\csc (x) + 1}$
9142	بسّط	(sin(x)-cos(x)+1)/(sin(x)+cos(x)-1)	$\frac{\sin (x) - \cos (x) + 1}{\sin (x) + \cos (x) - 1}$
9143	بسّط	(sin(x+y))/(sin(x)cos(y))	$\frac{\sin (x + y)}{\sin (x) \cos (y)}$
9144	بسّط	(sin(x)sec(x))/(csc(x))	$\frac{\sin (x) \sec (x)}{\csc (x)}$
9145	بسّط	(sin(x-y))/(cos(x)cos(y))	$\frac{\sin (x - y)}{\cos (x) \cos (y)}$
9146	بسّط	(sin(a))/(cos(a))	$\frac{\sin (a)}{\cos (a)}$
9147	بسّط	(sin(a))/(csc(a))+(cos(a))/(sec(a))	$\frac{\sin (a)}{\csc (a)} + \frac{\cos (a)}{\sec (a)}$
9148	بسّط	(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	بسّط	sin(30)^2+cos(45)^2	$\sin^{2} (30) + \cos^{2} (45)$
9150	بسّط	sin(50)^2+cos(50)^2	$\sin^{2} (50) + \cos^{2} (50)$
9151	بسّط	sin(225)^2-cos(300)^2	$\sin^{2} (225) - \cos^{2} (300)$
9152	بسّط	sin(30)^2+cos(60)^2	$\sin^{2} (30) + \cos^{2} (60)$
9153	بسّط	sin(x)^2(1-csc(x)^2)	$\sin^{2} (x) (1 - \csc^{2} (x))$
9154	بسّط	sin(x)^2sec(x)csc(x)	$\sin^{2} (x) \sec (x) \csc (x)$
9155	بسّط	sin(pi/13)^2+cos(pi/13)^2	$\sin^{2} (\frac{π}{13}) + \cos^{2} (\frac{π}{13})$
9156	بسّط	sin(pi/3)^2+cos(pi/3)^2	$\sin^{2} (\frac{π}{3}) + \cos^{2} (\frac{π}{3})$
9157	بسّط	arcsin(sin(x))	$\arcsin (\sin (x))$
9158	بسّط	(-pi)/2	$\frac{- π}{2}$
9159	بسّط	pi/18	$\frac{π}{18}$
9160	بسّط	pi/(1/2)	$\frac{π}{\frac{1}{2}}$
9161	بسّط	pi/4+pi	$\frac{π}{4} + π$
9162	بسّط	pi/30	$\frac{π}{30}$
9163	بسّط	-pi/3	$- \frac{π}{3}$
9164	بسّط	pi/2-pi/5	$\frac{π}{2} - \frac{π}{5}$
9165	بسّط	(sec(x))/(tan(x)^2)	$\frac{\sec (x)}{\tan^{2} (x)}$
9166	بسّط	(sec(x)+csc(x))/(tan(x)+cot(x))	$\frac{\sec (x) + \csc (x)}{\tan (x) + \cot (x)}$
9167	بسّط	(sec(x)+1)/(tan(x)+sin(x))	$\frac{\sec (x) + 1}{\tan (x) + \sin (x)}$
9168	بسّط	(sec(x))/(tan(x)+cot(x))	$\frac{\sec (x)}{\tan (x) + \cot (x)}$
9169	بسّط	(sec(x))/(sin(x))+(csc(x))/(cos(x))	$\frac{\sec (x)}{\sin (x)} + \frac{\csc (x)}{\cos (x)}$
9170	بسّط	(sec(x))/(csc(x)tan(x))	$\frac{\sec (x)}{\csc (x) \tan (x)}$
9171	بسّط	pi/7	$\frac{π}{7}$
9172	بسّط	(sin(x)-csc(x))/(cos(x))	$\frac{\sin (x) - \csc (x)}{\cos (x)}$
9173	بسّط	(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	بسّط	sec(x/2)^2	$\sec^{2} (\frac{x}{2})$
9175	بسّط	الجذر التربيعي لـ 6x^4*(4 الجذر التربيعي لـ 10x)	$\sqrt{6 x^{4}} \cdot (4 \sqrt{10 x})$
9176	بسّط	الجذر التكعيبي لـ 6a^4b^2+ الجذر التكعيبي لـ 162a^4b^2	$\sqrt[3]{6 a^{4} b^{2}} + \sqrt[3]{162 a^{4} b^{2}}$
9177	بسّط	tan(x)^3+8	$\tan^{3} (x) + 8$
9178	بسّط	الجذر الخامس لـ 3- الجذر التربيعي لـ 98+ الجذر التربيعي لـ 48+ الجذر السادس لـ 2	$\sqrt[5]{3} - \sqrt{98} + \sqrt{48} + \sqrt[6]{2}$
9179	بسّط	(tan(x)+cot(x))/(sec(x))	$\frac{\tan (x) + \cot (x)}{\sec (x)}$
9180	بسّط	(tan(x))/(1-cos(x)^2)	$\frac{\tan (x)}{1 - \cos^{2} (x)}$
9181	بسّط	(tan(t)+1)/(sec(t))	$\frac{\tan (t) + 1}{\sec (t)}$
9182	بسّط	(tan(pi/2-x))/(csc(x))	$\frac{\tan (\frac{π}{2} - x)}{\csc (x)}$
9183	بسّط	(tan(112.5))/(1-tan(112.5)^2)	$\frac{\tan (112.5)}{1 - \tan^{2} (112.5)}$
9184	بسّط	sin(x)^2cos(x)	$\sin^{2} (x) \cos (x)$
9185	بسّط	(tan(x)cot(x))/(csc(x))	$\frac{\tan (x) \cot (x)}{\csc (x)}$
9186	بسّط	(tan(y))/(csc(y))	$\frac{\tan (y)}{\csc (y)}$
9187	بسّط	(tan(x)+tan(y))/(cot(x)+cot(y))	$\frac{\tan (x) + \tan (y)}{\cot (x) + \cot (y)}$
9188	بسّط	arctan(2)	$\arctan (2)$
9189	بسّط	arctan(tan(pi/4))	$\arctan (\tan (\frac{π}{4}))$
9190	بسّط	tan(x)^2csc(x)^2	$\tan^{2} (x) \csc^{2} (x)$
9191	بسّط	(f(x+h)-f(x))/h	$\frac{f (x + h) - f (x)}{h}$
9192	بسّط	i/(3-2i)-(2i)/(3+8i)	$\frac{i}{3 - 2 i} - \frac{2 i}{3 + 8 i}$
9193	بسّط	(csc(x)-cot(x))/(sec(x)-1)	$\frac{\csc (x) - \cot (x)}{\sec (x) - 1}$
9194	بسّط	(csc(x)sec(x))/(cot(x))	$\frac{\csc (x) \sec (x)}{\cot (x)}$
9195	بسّط	(csc(x))/(tan(x))	$\frac{\csc (x)}{\tan (x)}$
9196	بسّط	csc(x)^2-(cot(x))/(tan(x))	$\csc^{2} (x) - \frac{\cot (x)}{\tan (x)}$
9197	بسّط	csc(x)^2(1-cos(x)^2)	$\csc^{2} (x) (1 - \cos^{2} (x))$
9198	بسّط	cos(3x)^2+sin(3x)^2	$\cos^{2} (3 x) + \sin^{2} (3 x)$
9199	بسّط	cos(4x)^2+sin(4x)^2	$\cos^{2} (4 x) + \sin^{2} (4 x)$
9200	بسّط	cos(x)^2-cos(2x)	$\cos^{2} (x) - \cos (2 x)$