[translate] asuch that estimates of area are systematically biased 这样区域的估计系统地被偏心[translate] atheir sum may be expressed in alternative form using trigonometric identities 他们的总和也许被表达以供选择的形式使用三角身分[translate]
There are loads of trigonometric identities, but the following are the ones you're most likely to see and use. Basic & Pythagorean,Angle-Sum & -Difference,Double-Angle,Half-Angle,Sum,Product Basic and Pythagorean Identities Notice how a "co-(something)" trig ratio is always the reciprocal of...
residue theoremtrigonometric functioncontour integration.By evaluating a contour integral with the Cauchy residue theorem,we prove a general summation formula on trigonometric sum,which contains several interesting trigonometric identities as special cases.Xin WANG数学研究与评论:英文版...
products or products into sums can make a difference between an easy solution to a problem and no solution at all. Two sets of identities can be derived from the sum and difference identities that help in this conversion. The following set of identities is known as theproduct‐sum identities...
Sum and Difference恆等式 参考 > 代数: 三角恆方程描述 sin(x+y)=sinxcosy+cosxsinysin(x+y)=sinxcosy+cosxsiny sin(x−y)=sinxcosy−cosxsinysin(x−y)=sinxcosy−cosxsiny cos(x+y)=cosxcosy−sinxsinycos(x+y)=cosxcosy−...
Product To Sum恆等式 参考 > 代数: 三角恆方程描述 \(\cos{x}\cos{y} = \frac{1}{2}(\cos{(x+y)}+\cos{(x-y)})\) \(\sin{x}\sin{y} = \frac{1}{2}(\cos{(x-y)}-\cos{(x+y)})\) \(\sin{x}\cos{y} = \frac{1}{2}(\sin{(x+y)}+\cos{(x-y)})\)...
W. Chu.Partial Fraction Decompositions and Trigonometric Sum Identities. "0Proc. Amer. Math. Society" .Partial fraction decompositions and trigonometric sum identities[J] . Wenchang Chu.Proceedings of the American Mathematical Society . 2007 (1)...
By evaluating a contour integral with the Cauchy residue theorem,we prove a general summation formula on trigonometric sum,which contains several interesting trigonometric identities as special cases.数学研究及应用Xin WANG Basic Research Department,Dalian Naval Academy,Liaoning ,P.R.China...
Combinatorial Identities本文利用部分分式方法,证明了一类含有参变量的有限三角函数求和公式,从而推广了Chu和Marini(1999)的相关结论。brBy partial fraction decomposition method, we prove a general summation formula on trigonometric sum, which contains several interesting trigonometric identities as special cases....
Unified rotation matrix approaches for trigonometric angle sum and difference identitiesOllerton, Richard L.Australian Mathematics Education Journal (AMEJ)