calculus - Find a formula for $\sin (5x)$ in terms of $\sin (x)$ and ...
$\sin5x=\sin(3x+2x)=\sin3x\cos2x+\cos3x\sin2x=(3\sin x-4\sin^3x)(2\cos^2x-1)+(4\cos^3x-3\cos x)(2\sin x\cos x)$ Now, I think you can take it from here. It is just calculation part you are left …
Solving $\\sin(5x) = \\sin(x)$ - Mathematics Stack Exchange
2016年3月15日 · Edit: One way to prove $$ \sin(x)=\sin(y) \iff x=y +n2\pi\ \mbox{ or }\ x=\pi-y +n2\pi, $$ is to just verify the solutions work, using a consequence of Euler's ...
Solution of the trigonometric equation $\\sin5x =\\cos2x$
2018年1月15日 · The question is to find the general solution of $\sin5x = \cos2x$ I did the following: $\sin5x-\cos2x=0$
trigonometry - Trigonometric Idenities for $\sin^5(x)
2016年9月23日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
trigonometry - Solving the equation $\sin5x=16\sin^5x
2020年3月5日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
How to find $x$ such that $\\tan5x=\\tan x$ and $\\sin5x=\\sin x$?
By the compounded angle formula, for instance, $$ \sin(x+y) = \sin(x)\cos(y) + \cos(x)\sin(y) $$ one can reduce the size of the angle of a trigonometric function.
integration - Integral of $\int \frac{\sin(3x)}{\sin(5x)} \, dx ...
2016年2月23日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
Solving $\\sin5x \\cos3x = \\sin6x \\cos2x$ two ways gives …
2020年9月28日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
trigonometry - General solution for $\cos (5x) = \sin (5x ...
2021年1月8日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
trigonometry - How is it solved: $\sin (x) + \sin (3x) + \sin (5x ...
2016年10月14日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …