15.
a. Show sin^2xcos^2x-1-cos4x/8 by filling in the table below. Start with the left-hand side. (3 points)
Calculation Reason
b. Find all solutions to the equation sin^2x cos^2x =2-sqrt2/16. (2 points)
16. Use the half-angle formulas to come up with an exact expression for each function value below. You do not have to simplify your answer.
a. (2 points)
b. (2 points)
c. (2 points)
17. Recall that the equation for the horizontal distance h in feet of a projectile with initial velocity v0 and initial angle is given by .
a. Assume the initial velocity is . What initial angle will you need to ensure that the horizontal distance will be exactly 100 feet? (3 points)
b. Assume the initial velocity is . What is the maximum horizontal distance possible and at what angle does this occur? (2 points)
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