Explain to me how to get the answers please or just show work. We're already given the answers I just want to know how to get them.

1. For (a) and (b), find the partial fraction decomposition. For (c) and (d), write only the correct form of the partial fraction decomposition. (a) 11x-17 x2+x-20 6x2-3x+9 (b) (x+1)=(x-5) 2x2+6x+1 (c) (x+3)3 (x+2)2 7x3+8x2-6x+4 (d) (x2+3)(x-4)2 2. Find the missing data for the specified circle. (a) Find the exact angle included in the sector of a circle which has area 10n sq. cm and a radius of 5 cm. (b) For a circle with a radius of 10, find the area of the sector swept by an angle of = radians. 3. Sketch one period of each graph. (a) y = 2 sin(nx - =) (b) y = -3 cos(4x + 1) 4. 0 terminates in quadrant II and csce = 7. 8 terminates in quadrant and sin B = - -. Find: (a) sin(0 - B) (b) cos(2B) 5. Find the exact value of: (a) sin arcsin ()- arccos (-)] (b) tan 2 arccos (-)] 6. Verify each identity. (a) cos* x - sin* x = cos(2x) (b) (cos2 0 - -sin2(20) ) (tan2 0 + 1) = cos2 0 sin t (c) 1+cost = cact - cott 7. Find all solutions. (a) 2 cos' x + 3 cosx = -1 (b) tan (2x - ") = 1 36 4. (a) 85 161 (b) 289 63 5. (a) 65 24 6. (a) cost x - sin* x = cos(2x) Hint: Factor diff of squares (b) (cos2 0 - - sin?(20) ) (tan2 0 + 1) = cos2 0 Hint: sin (20) = 2 sin & cos e sin t (C) = cact - cott Hint: Rewrite cact and cott 1+cost 2 TE 7. (a) 3 + 2an, 3 + 2min, n + 2nn (b) x =3 +=