What Determines the Position of Antinodes in Standing Waves?

[Nubs]

The eq. of standing waves is y(x,t) = 2Asin(kx)cos(wt). Derive the eq. for postion of antinodes.

I know I can figure it out by assuming sin(kx) = 1, but I can't figure out how to get from there to final eq.

Any help? Thanks.

 

[Redbelly98]

Welcome to PF

Can you solve this related equation:

sin θ = 1​

That will help with finding the solution to sin(kx)=1.