theshadow wrote:if the cos inverse of x= pie/3 what is the sin inverse of x ?
I'm going to guess that you don't mean
, but just
. (The Greek letter used to represent the geometrical value approximated by 3.14159 is spelled "pi"; a "pie" is a baked dessert.)
Use the definition of inverse trig functions: If cos
^{-1}(x) = (pi)/3, then cos[(pi)/3] = x. This is what the inverse-cosine function is and does.
Remembering the reference-angle values you've memorized, what is the value of cos((pi)/3)? So what is the value of "x"?
You now need to find sin
^{-1}(x). Plug in the value you found for x, and work backwards to the answer, using those same reference-angle values.
If you get stuck, please reply showing how far you have gotten. Thank you!