Simplify $\sin(\alpha)+\sin(\alpha+x)+\sin(\alpha+2x)+\sin(\alpha+3x)+ \dotsb +\sin(\alpha+nx)$
5080
How can we sum up $\sin$ and $\cos$ series when the angles are in arithmetic progression?
140983
$ \tan 1^\circ \cdot \tan 2^\circ \cdot \tan 3^\circ \cdots \tan 89^\circ$
57152
Solve $\sin x = 1 - x$
51610
Consecutively Adding Sines
83332
Trig sum: $\tan ^21^\circ+\tan ^22^\circ+\cdots+\tan^2 89^\circ = \text{?}$
142610
Solving $\sin x\cos3x+\cos x\sin3x=\sqrt{3}/2$ in the interval $[0,2\pi]$
34637
Evaluating $\sum\frac{\sin(n)}{n^a}$
47052
How can I simplify this expression involving binomial coefficients?
100159
How to simplify $\frac{1+\frac{1}{2^p} + \frac{1}{3^p} + \frac{1}{4^p} + \cdots}{1 - \frac{1}{2^p} + \frac{1}{3^p} - \frac{1}{4^p} + \cdots}$
77978
Show that $\frac {\sin x} {\cos 3x} + \frac {\sin 3x} {\cos 9x} + \frac {\sin 9x} {\cos 27x} = \frac 12 (\tan 27x - \tan x)$
67034
Find the value of $\alpha + \beta + \alpha\beta$ from the given data
27628
Solving $a \sin\theta + b \cos\theta = c$
57330
Find the number of solutions of $\sin x+2 \sin 2x- \sin 3x=3$
21941
Proving: $x = a_0 + \sum_{n=1}^{\infty}(a_n \cos nx + b_n \sin nx)$
104384
Trigonometric identity: $\frac {\tan\theta}{1-\cot\theta}+\frac {\cot\theta}{1-\tan\theta} =1+\sec\theta\cdot\csc\theta$
51489
Simplifying the integral $\int\frac{dx}{(3 + 2\sin x - \cos x)}$ by an easy approach
110783
Simplifying complex expression with Mathematica