hi all! i need help with the following. i'll show you how i approached them (sorry if this ends up lengthy!)

1) a) inverse sin sq rt 2/2 b) inverse cos sq rt 3/2 c) inverse cos - sq rt 3/2

2) a) inverse tan sq rt 3 b) inverse tan - sq rt 3 c) inverse sin sq rt 3

3) a) inverse sin 0 b) inverse cos 0 c) inverse cos -1/2

- ok i can't figure out if i know what im doing. an example in the book had a) sin-1= 1/2. so sin is 1/2, meaning it would be pi/6 (because pi/6= sq rt 3/2, 1/2). so for 1a.. would it be pi/4? i'm a little confused...

evaluate expression by sketching a triangle

4) tan(2 inverse tan 5/13)

5) cos(inverse sin 3/5 - inverse cos 3/5)

- i understand sketching triangles and using that information to find the basic trig functions. but, for example, when given tan=(2 inverse tan 5/13) how would u even set that up? i know tan = opposite/adjacent but the whole set up of the problem confuses me =[

rewrite the expression as an algebraic expression in x

6) sin(inverse tan x)

7) cos(inverse tan x)

the only way i would think of how to do these would be solving for x, but i'm not sure if im right. ex: sin(inverse tanx)... would you just do sin/inverse tan = x?