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Find the acute angle θ, to the nearest hundredth of a degree,

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Find the acute angle θ, to the nearest hundredth of a degree, for the given function value.
1) sin θ = 0.6831

2)A plane is heading due south with an airspeed of 288 mph. A wind from a direction of 58° is blowing at 20 mph. Find the bearing of the plane.

3) An observer at Airport A sees a plane 35 miles away. Airport A is 50 miles from Airport B. From Airport A, the plane is at an angle of 285° from the north and Airport B is at an angle of 65° from the north. Find the distance between the plane and Airport B to the nearest mile.

4) Find the amplitude of y = -3cos(x – π).

5) Find the period of y = 2cos(2x + π/2).

6) Find the phase shift of y = -4 + 3sin(4x – π/6)

 
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