Establish the identity.1 + 
sin(2?) = 
What will be an ideal response?
= sin2 ? + sin ? cos ? + cos2 ? = 1 + sin ? cos ? = 1 + 
sin(2?)
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Translate to an algebraic expression.Robbie drove his car at 50 mph for t hours. How many miles did he travel?
A. 
B. 
C. 50 - t
D. 50t
Solve the problem.The wind is blowing at 10 knots. Sailboat racers look for a sailing angle to the 10-knot wind that produces maximum sailing speed. This situation is now represented by the polar graph in the figure shown below. Each point (r, ?) on the graph gives the sailing speed, r, in knots, at an angle ? to the 10-knot wind. What angle to the wind produces the maximum sailing speed? What is the speed to the nearest knot, of the sailboat sailing at 150° angle to the wind? 
A. 150°; 6 knots B. 120°; 6 knots C. 150°; 8 knots D. 120°; 8 knots
Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form.(0, 4); m = 
A. y = 
x - 4
B. y = 
x + 4
C. y = 
x + 
D. y = 
x + 4
Solve the problem.One printer can do a printing job in 5 hours. Another printer can do the same job in 11 hours. How long can they do the job working together?
A. 9
hours
B. 3
hours
C. 3
hours
D. 
hours