# Questions tagged [trigonometry]

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

25,521 questions
Filter by
Sorted by
Tagged with
3 views

### Find the perimeter of a four-sided polygon that is formed between two triangles

Problem Statement An acute triangle intersects with another triangle to form a four-sided polygon. Given all angles, and given the distance of two sides of the polygon, find the other two sides of ...
29 views

### Sine function and wave questions

I have been doing research for a few weeks, and I was trying to learn more about sine. I learned how it was used in trigonometry for calculating angles. It is the same as the sine function, which is ...
27 views

48 views

46 views

### $y=-1$ in polar coordinates

Convert $y=-1$ from rectangular coordinates into polar; solve for $r$. Not sure how to do this one, can someone explain? Thank you.
72 views

Can somebody point me in the right direction in finding the maximum value of $y$ for a given value of $\alpha$ for the following trigonometric expression. $$y = 3 \cos\alpha \sin\alpha + \sqrt 3 \sin^... 3answers 52 views ### How to find the range in f(x)=\operatorname{arccsc} \left(\sqrt{2x-x^2}\right)? The problem is as follows: Let the real function:$$f(x)=\operatorname{arccsc} \left(\sqrt{2x-x^2}\right) Find the range of that function. According to my workbook, the official answer to this ...
Assume that $x$ is a rational multiple of $π$ such is $\cos(x)$ is also rational. Then the number of values of $\cos(x)$ under the conditions is? I did read niven's proof of this, but it uses complex ...
$\tan a =\frac{5}{12}$, $\pi<a<\frac{3\pi}{2}$, $\sin b=-\frac{1}{2}$, $\pi<b<\frac{3\pi}{2}$ Im totally lost on what to do any help would be appreciated