Pls answer all questions with neat handwriting Need asap pls

1. Find the exact trigonometric ratios for the angle 0=- 3 2. Find the remaining trigonometric ratios if sec 0 =-3.5 and O is in second quadrant. 3. Prove the following trigonometric identities: sin(x - y) (b) COS X COS X (a) tan x - tan y = = 2 tan x (c) 2csc(2x) = tan x + cotx cos xcos y 1 - sin x 1 + sin x 4. Find all values of x in the interval [0, 2x] that satisfy the equation: (a) 1+ tan x = sec- x (b) sin 4x = cos 2.x (c) 1+ sin x = cos.x e 2 x 5. Find the inverse function of y = 6. Simplify (reduce to a single exponential function): 272x-7 (a) (b) 4 *+6. 83-2x (c) (2)# . (42-3x 15 7. Solve: (a) 24x-5 _ 73x+8 ( b ) ex + 802* -33=0 (c) esx 3x-12 = 27 (d) 21nx -In(4x-5) =1. 8. Find fog and gof for f(x) =5Vx' -8x+13 and g(x) =2tan(6x-1)+3. 9. Divide the polynomials * +6x -x- +7x-3 x- - 2x 10. Find the vertex, focus, and directrix of the parabola y '+ 4y - x+5 =0 and sketch it. 11. Find an equation of a parabola with focus (2,2) and vertex (2,3)