please write clearly

1. Find all solutions of the equation sin" x + cosx + 1=0on the interval [0, 27) 2. Find all solutions of the equation 4cos x-3 =0 on the interval [0, 27) 3. Prove the identity sec x - tan x -+ sec x =sec x . Show all work. 4. Prove the identity cot' x- cos x = cot'x . cos x. Show all work. 5. Use the Law of Sines to solve a triangle. Check whether the problem has 2 solutions. a = 125, b = 100, A = 110%. Draw a triangle that represents the problem. Show the known quantities on the triangle and use variables to indicate the unknown quantities. 6. Use the Law of Cosines to solve the triangle. a - 10, C =108, b =7. Draw a triangle that represents the problem. Show the known quantities on the triangle and use variables to indicate the unknown quantities