Tag: trigonometry
- Finding a more efficient solution to a trigonometric identity problem.
- Expanding $\sin(ab)$ in terms of $\sin a$ and $\sin b$.
- General Formula for $\sin^n(x)+\cos^n(x)$
- Calculate $\arccos\left(-\frac{\sqrt{2}}{4}-\frac{\sqrt{6}}{4}\right)$
- Solving $\int_0^{\pi} \sin^2(x) \sin(nx) \sin(mx) dx$ for general $n, m$.
- Is there another proof that the derivative of $\cos^{-1}(x)$ is the negative of the derivative of $\arcsin(x)$
- Solving $\cos A + \cos B + \cos C = 0$ and $\sin A + \sin B + \sin C = 0$ using complex numbers
- Chararacterization of a triangle for which $R(b+c)=a\sqrt{bc}$
- Is there an identity for $\sum_{k=0}^{n-1}\csc\left(x+ k \frac{\pi}{n}\right)\csc\left(y+ k \frac{\pi}{n}\right)$
- Solving $\operatorname{arccsc}(\sqrt{37})+\operatorname{arcsin}\left(\frac{x}{\sqrt{4+x^2}}\right)=\frac{1}{2} \operatorname{arcsin}\frac{3}{5}$