Solve the equation sin 2Θ = 1, for 0 ≤ Θ < 2π .

{Use of Tech} Height and time The height in feet of a baseball hit straight up from the ground with an initial velocity of 64 ft/s is given by h= ƒ(t) = 64t - 16t²  where t is measured in seconds after the hit.

c. Find the inverse function that gives the time t at which the ball is at height h as the ball travels downward. Express your answer in the form t = ƒ⁻¹ (h)

{Use of Tech} Height and time The height in feet of a baseball hit straight up from the ground with an initial velocity of 64 ft/s is given by h= ƒ(t) = 64t - 16t²  where t is measured in seconds after the hit.

d. At what time is the ball at a height of 30 ft on the way up?

{Use of Tech} Height and time The height in feet of a baseball hit straight up from the ground with an initial velocity of 64 ft/s is given by h= ƒ(t) = 64t - 16t²  where t is measured in seconds after the hit.

e. At what time is the ball at a height of 10 ft on the way down? 

Find the linear function whose graph passes through the point (3, 2) and is parallel to the line $y=3x+8$ .

Evaluate cos⁻¹(cos(5π/4)).

Evaluating trigonometric functions Without using a calculator, evaluate the following expressions or state that the quantity is undefined.

cot (-17π/3)

Solving trigonometric equations Solve the following equations.

tan x = 1

Solving trigonometric equations Solve the following equations.

cos²Θ = 1/2 , 0 ≤ Θ < 2π