Help with a trig math problem

Jul 2019
3
0
USA
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
Jan 2006
11,569
3,453
Wellsville, NY
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