# Tagged Questions

Trigonometric functions (both geometric and circular), relationships between lengths and angles in triangles, and other topics relating to measuring triangles.

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### How to find intersections of sine and cosine functions with $X$ axis

I've been struggling with this question for a few days, because I've been able to find the said intersections, but based on suppositions, rather than on mathematical process. For example, if I have ...
31 views

### Prove trigonometric inequality with sin

Let $n\in \mathbb{N}^{*},x\in \mathbb{R}$. Prove that $sin^{2}(x)\cdot sin^{2}(2x)\cdot ...\cdot sin^{2}(2^{n}x)\leq \left ( \frac{3}{4} \right )^{n},\forall x\in \mathbb{R}$. The only result I ...
36 views

### sum of all Distinct solution of the equation $\sqrt{3}\sec x+\csc x+2(\tan x-\cot x) = 0\;,$

The sum of all Distinct solution of the equation $\displaystyle \sqrt{3}\sec x+\csc x+2(\tan x-\cot x) = 0\;,$ Where $x\in (-\pi,\pi)$ and $\displaystyle x\neq 0,\neq \frac{\pi}{2}.$ ...
129 views

### Extended $\lim_{x \rightarrow 0}{\frac{\sin(x)}{x}} = 1$ limit law?

So I've learned that $\lim_{x \rightarrow 0}{\frac{\sin(x)}{x}} = 1$ is true and the following picture really helped me get an intuitive feel for why that is I have been told that this limit is ...
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### Proof of a trigonometric relation

In the solution of the ambiguous case for plane triangles, in which the sides $a, b$ and angle $A$ are given, how to prove that $(c+c')/2 = b\cos A$ Where $c$ and $c'$ are the corresponding ...
Is there an analytic solution to find the zeroes of an equation of the form: $$0 = at^2+bt+c+\sin(mt^2+nt+o)$$