Can someone please check my answers below for accurateness?

let me know if you get the same or different answer with me.

1. Find an equation of the tangent line to the curve y=sinx+cos2x at the point (pi/6, 1)

My final answer is:

y=[-(sqrt3)x]/2 + 1 + [(sqrt3) pi]/12

What did you get?

2. Find the slope of the tangent line to the curve y=cos(cosx) at x=pi/2

my final answer is y=1

did you get this too?

Thanks for your help!