I got stuck on these two questions. I know that part + part = whole but the missing part is kinda confusing me for these two questions lol. I already drew the lines and angles, I just need help with how I'd work this out. Thanks for the help y'all :))

Can someone check if i did this right since i really want to make sure it’s correct. if you do you so much

Find cot x if sin x cot x csc x = √2

Scenario: susan wants to make 2 square flags to sell at a crafts fair. the fabric she wants to buy is 3 meters wide. she doesn't want any fabric left over. what's the least amount of fabric she should buy? question: which equation will susan solve her problem? note: let x represent the length of 1 side of the flag. options: 1) 2x^2 = 4x 2) 8 +2x = 2(4x) 3) 2 * 2 = 4 * 2 4) 4x^2 -2x = 0