Any help would be appreciated, thank you!

[Aspen!!]

Hey, I'm working on an assignment and am stumped by two things, I'm not sure where to begin. My first thought is to reorder the variables to isolate x, but see for yourself...

Write an algebraic expression for the given expression.
tan (cos^-1 x/2)

cos(sin^-1(x/9-x))

I'm in Magnet Precalculus, by the way. Thank you!

 

[Deleted member 4993]

Hey, I'm working on an assignment and am stumped by two things, I'm not sure where to begin. My first thought is to reorder the variables to isolate x, but see for yourself...

Write an algebraic expression for the given expression.

tan (cos^-1 x/2)​

cos(sin^-1(x/9-x))

I'm in Magnet Precalculus, by the way. Thank you!

Start by working with expression inside the "brackets".

let

cos^-1(x/2) = Θ​

then

cos (Θ) = x/2​

then

sin(Θ) =±(1/2) * √(4 - x²) ................................why?​

then

tan(Θ) = sin(Θ)/cos(Θ) = ?​

similarly complete the second one.