Sketching inverse trig graphs (1 Viewer)

[YashC3]

aye guys, I came across a couple of graphs when doin inverse trig that I could't sketch. Any help would be appreciated.

1) y = sin (cos inverse x)

2) y= sin inverse (cos x)

3) x= tan y -3pi/ 2 < x < 3pi/2


Thanks

 

[xV1P3R]

1) Let theta = arccos(x)
Draw the triangle represented by this
ie. angle theta, side adjacent to theta = x, hypotenuse = 1, solve for other side which is

2) Same strategy
3) should be able to graph y=arctan(x) yes?