Sincethe accent in the OP is put on a purely geometric solution, i can not even consider the chance to write $\cos^2 =1-\sin^2$, and rephrase the wanted equality, thus having a trigonometric function which is better suited to geometrical interpretations.. So this answer has two steps, first we reformulate the given identity in a mot-a-mot geometric manner, the geometric framework is Ifthe vertices of a triangle are A (2, − 1, 1), B (1, − 3, − 5) and C (3, 4, − 4), then prove by vector method that it is a right-angled triangle. Hard View solution IfsinAsinC=sin(A - B)sin(B - C), then show that a2, b2, c2 are in A.P. Maharashtra State Board HSC Science (Electronics) 12th Standard Board Exam. Question Papers 212. Textbook Solutions 10257. MCQ Online Mock Tests 60. Important Solutions 4650. Concept Notes & Videos 417.

Theycreated tables of sine values (actually chord values, in really ancient times, but that more or less amounts to the same problem) by starting with $\sin(0^\circ)=0$, $\sin(90^\circ)=1$ and then using known formulas for $\sin(v/2)$ to find sines of progressively smaller angles than $90^\circ$, and then formulas for $\sin(v+u)$ to find sines

Let\(\frac{sinA}{sinB}\) = \(\frac{sin(A-C)}{sin(C-B)}\), where A, B, C are angles of a triangle ABC. If the lengths of the sides opposite these angles are a, b, c respectively, then : sinA/sinB = sin(A-C)/sin(C-B) (1) b 2 - a 2 = a 2 + c 2 (2) b 2,c 2,a 2 are in A.P. (3) c 2,a 2,b 2 are in A.P. (4) a 2,b 2,c 2 are in A.P. jee; jee main; jee sin2A sin2B/sin A cos A sin B cos B]= Login. Study Materials. NCERT Solutions. NCERT Solutions For Class 12. NCERT Solutions For Class 12 Physics; NCERT Solutions For Class 12 Chemistry; NCERT Solutions For Class 12 Biology; = sin 2 A-sin 2 B] Using the formula sin x Arcsinis the inverse trigonometric function of the sine function. It gives the measure of the angle for the corresponding value of the sine function.We denote the arcsin function for the real number x as arcsin x (read as arcsine x) or sin-1 x (read as sine inverse x) which is the inverse of sin y.If sin y = x, then we can write it as y = arcsin x. 要计算这个矩阵的指数函数e^ {M} ,最直接但也是最繁琐的方法就是计算它的 特征值和特征向量 ,将矩阵 M 对角化,然后求矩阵的指数。. 为了减小计算量,可以充分利用矩阵的特性,将其写为这种形式:. 其中 E = \begin {pmatrix} 1 & 0 \\ 0 & 1 \end {pmatrix} , T = \begin R1ObUNX.
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