
What is $\\sin(\\cos(x))$? - Mathematics Stack Exchange
2015年11月26日 · $\begingroup$ One might also be inclined to take a Fourier series, given that $\sin(\cos(x))$ is periodic. I just suggest this since that's a little more natural for a periodic function than Taylor expansion (though the coefficients are harder to compute; Mathematica insists they have a closed form in terms of the Bessel function though ...
When is $\\sin(x) = \\cos(x)$? - Mathematics Stack Exchange
2016年8月28日 · 1) $\cos^2 x + \sin^2 x = 1$ So $2 \cos^2 x = 1$ So $\cos x = \sin x = \pm \sqrt{\frac 12}$ 2) $\sin x$ is the adjacent side of a right triangle.
What is the integral of $\\sin(\\cos x)$? - Mathematics Stack …
2014年12月2日 · What is the integral of $\sin(\cos x)$ ? So glad you asked ! :-) Although the indefinite integral does not possess a closed form, its definite counterpart can be expressed in terms of certain special functions, such as Struve H and Bessel J.
trigonometry - Where do trigonometric functions belong in the …
2020年8月30日 · Trigonometric Functions (And Functions In General) Aren't Considered As Operators, But As Functions Instead, So, Technically Speaking, They Can't Belong In The Order Of Operation (A.K.A. BODMAS/PEDMAS/BIDMAS).
sincos implementation - Mathematics Stack Exchange
2017年5月3日 · Many computational libraries contain a routine called sincos that allows one to compute sin and cos simultaneously. The existence of this routine suggests that calling this routine is more efficien...
trigonometry - when to use sine vs cosine vs tangent
2014年2月14日 · If you think about it, this makes sense, because all the sin, cos, or tan gives you is the ratio between sides. E.g. for sin, how many times bigger is the opposite side than the hypoteneuse. E.g. for sin, how many times bigger is the opposite side than the hypoteneuse.
How can I know the values of: - Mathematics Stack Exchange
2018年10月14日 · How can I know the values of: $\sin(i)$ and $\cos(i)$? I am studying complex variables for the first time, so I asked myself if these functions exist (considering that the complex plane can be see...
How do we know - Mathematics Stack Exchange
2019年7月15日 · $\begingroup$ Because we have a homogeneous second order linear differentiation equation where the general solution is $y(x) = c_1\sin(x) + c_2\cos(x)$.
Easy way of memorizing values of sine, cosine, and tangent
2015年12月1日 · Drawing Sin Cos Tan Table. Step 5(orange):Once you have values for sine function, invert them for cosine i.e( sin 90 = cos 0, sin 60 = cos 30, sin 45 = cos 45 and so on) and you get values for cosine function. Step 6: For tangent, put sin/cos values and simplify. Step 7: You can extend the table for further angles by using formulas such as
Axiomatic definition of sin and cos? - Mathematics Stack Exchange
2015年5月29日 · I look for possiblity to define sin/cos through algebraic relations without involving power series, integrals, differential equation and geometric intuition. Is it possible to define sin and cos t...