Solve for 2sin θ + 5 √3 = 4 √3 and what is the measure of θ in degrees?

Question

1. 240°
2. 230°
3. 260°
4. 210°

Answer 1

Like most equations, you'll want to isolate the "variable," or in this case sinΘ.

Subtract 5√3 from both sides.

You will now have 2sinΘ = -√3

Next, divide both sides by 2.

This results in: sinΘ = -√3

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2

This MAY look very familiar if you know your unit circle ;-)

sin is negative in the third and 4th quadrants, and 60° is the reference angle so that puts us at 240° or 300º (which is not an option you were given).

240º it is!