Please help me with these problems.

Prove each trigonometric identity. sin x 1+ cos x = 2 csc x 46. a. 1 + cos x sin x cos a cos a = 2 sec a b. 1 + sin o 1 - sin a Solve for o. 6156. a . 1 - sin- a = 0 b. 4 cos2 a - 3=0 6-157. Solve for x. a. 2x2 - 5= 2x b. 6x4 = x2+ 5 C. Vx + 21 + Vx= 7 d. 2+ - 5 12 x -1 ( x -1)2 6-158. The lengths of the sides of a right triangle are given by x, x + 4, and x + 8. What are the lengths of the sides? 6-159. Josh is taking a leisurely ride on his bike. At t = 2.3 seconds the peddle on his bike is closest to the ground at height of 8 inches. The pedal reaches its highest point of 22 inches 0.7 seconds later. Find an equation that represents the height of the peddle over time. Find all the times that the pedal is exactly one foot off the ground in the first 5 seconds of his ride. 6-160. Solve for all possible values of O: sin 20 = cos(0 - It) 6-161. Suppose y varies inversely as x + 6 and y = 1 when x = 1. a. Express y as a function of x, y = f(x). b. Find f(-3). f(0), f (3). andf (2). 315