In need help finding the 6 trig functions with the given information in the screenshot

Evaluate cos2θ for cosθ = square root of 3/2

Explain how you can find the missing fraction in 3 4/5 / (blank) 2 5/7. then find the missing fraction.

An object is translated by (x + 4, y - 2). if one point in the image has the coordinates (5, -3), what would be the coordinates of its pre-image? (9, -5) (1, -5) (9, -1) (1, -1)