Double Angles Test


Ben is looking for a new paintball gun that is still in prototype stages of development. He reads online that the range of the gun can be determined using the equation:

r = (1/32)(v)(sin2)

Where is the angle at which the gun is fired, and where v is the veolocity in feet per second. Ben wants to know roughly how straight the gun will shoot. Find the equation in terms of .

1.

(1/32)vsin cos^2
2. (1/16)vsin cos
3. (1/64)vsincos
4. (1/32)vsin^2

Solve the following equation. Give answers between [0°, 360°] (there are exactly four solutions). Order the answers from highest to lowest in degrees.

sin2 - sin = 0

First solution:

Second solution:

Third solution:

Fourth solution:

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