# Help with a trig math problem

#### dosh

If [FONT=MathJax_Math-italic]x[FONT=MathJax_Main]=[/FONT][FONT=MathJax_Math-italic]π[/FONT][FONT=MathJax_Main]6[/FONT]x=π6[/FONT], find the value of [FONT=MathJax_Main]csc[FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Main]([/FONT][FONT=MathJax_Main]sec[/FONT][FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Main]−[/FONT][FONT=MathJax_Main]tan[/FONT][FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Main]sin[/FONT][FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Main])[/FONT]csc⁡x(sec⁡x−tan⁡xsin⁡x)[/FONT].

If [FONT=MathJax_Math-italic]x[FONT=MathJax_Main]=[/FONT][FONT=MathJax_Math-italic]π[/FONT][FONT=MathJax_Main]6[/FONT]x=π6[/FONT] find the value of cot x

Thanks!!

[FONT=MathJax_Main]cot[FONT=MathJax_Math-italic]x[/FONT][/FONT]

#### topsquark

Forum Staff
If [FONT=MathJax_Math-italic]x[FONT=MathJax_Main]=[/FONT][FONT=MathJax_Math-italic]π[/FONT][FONT=MathJax_Main]6[/FONT]x=π6[/FONT], find the value of [FONT=MathJax_Main]csc[FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Main]([/FONT][FONT=MathJax_Main]sec[/FONT][FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Main]−[/FONT][FONT=MathJax_Main]tan[/FONT][FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Main]sin[/FONT][FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Main])[/FONT]csc⁡x(sec⁡x−tan⁡xsin⁡x)[/FONT].

If [FONT=MathJax_Math-italic]x[FONT=MathJax_Main]=[/FONT][FONT=MathJax_Math-italic]π[/FONT][FONT=MathJax_Main]6[/FONT]x=π6[/FONT] find the value of cot x

Thanks!!

[FONT=MathJax_Main]cot[FONT=MathJax_Math-italic]x[/FONT][/FONT]
What does $$\displaystyle x = \pi 6 x = \pi 6$$ mean?

Otherwise
$$\displaystyle csc(x) = \dfrac{1}{sin(x)}$$
$$\displaystyle sec(x) = \dfrac{1}{cos(x)}$$

Without knowing what x is that's as far as I can go.

-Dan