Ido not have a calculator to calculate this one. if you have one, . !

Answers:     x = 0, 1.05, 3.14, 5.24======sine double angle identity:     apply this here    factor out      the left side of this equation is made up of entirely factors, namely (sin x) and (2cos x - 1). they are multiplying with each other. either factor can be equal to zero to make the entire product 0 to satisfy this equation (zero product property, like solving (x-3)(x-1) = 0)setting  to zero and solving:     find an angle that has a point on the terminal arm with a y-coordinate of 0.there's two possible angles in this given interval    note:   angle 0 radians lies directly on the positive x-axis, so y-coordinate of 0.angle pi raidans lies directly on the negative x-axis, so y-coordinate of 0.or use unit circle or the graph of y=sin x  to figure this out.for the other factor:     we want to find the angle  that has a cosine ratio of 1/2.you can use unit circle/special triangles (30-60-90)  to figure the solutions out (there's two). cosine is positive in quadrants 1 and 4. with unit circle, the solutions are  and  alternatively, you can find the reference angle by doing, with a calculator    reference angle is always formed between the terminal arm and the x-axis. (refer to the attachment from my notes if you need a review on reference angles.)cosine is positive in quadrants 1 and 4. so we have a solution in quadrant 1 and quadrant 4.an angle in quadrant 1 is the reference angle. calculating using a calculator:     so that's one solutionto find an angle in quadrant 4 with a given reference angle, we need to subtract the reference angle one full rotation of  . reference angle is formed between the terminal arm and the x-axis; think one entire rotation and then backing up the amount of the reference angle.the angle in quadrant 4 is    ======joining all the solutions:     x = 0, 1.05, 3.14, 5.24

This makes absolutely no sense at all young man/women

500 dollars and its probably more than that