if the cos inverse of x=pie/3 what is the sin inverse of x ?

[theshadow]

if the cos inverse of x= pie/3 what is the sin inverse of x ?

[stapel_eliz]

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!

[theshadow]

cos((pi)/3) = 1/2, so i'm just taking sin inverse of 1/2?

[stapel_eliz]

cos((pi)/3) = 1/2, so i'm just taking sin inverse of 1/2?

Yup!

[richards]

A great strategy to deal with these problems is to list all the values along the unit circle like this: http://www.math.ucsd.edu/~jarmel/math4c/Unit_Circle_Angles.png. That way when you have to deal with arc trig problems you have an easy refrence to look up the answers.