Solve the equation for θ (0° ≤ θ < 360°). In the space provided, type the answer without any spaces between the letters, numbers, or symbols.

Question

Solve the equation for θ (0° ≤ θ < 360°). In the space provided, type the answer without any spaces between the letters, numbers, or symbols.

2 sin θ = 1

Answer 1

2sin(θ)=1

divide by 2

sin(θ)=1⁄2

take the sin inverse of both sides

θ=sin^-1(1⁄2)

Using your calculator you get

30º and 120°

Answer 2

sin θ=1/2

There are 2 angles between 0 and 360 where sin θ=1/2...one in quadrant 1 and one in quadrant 2.

Do you know what the ratio of the sides is in a 30-60 right triangle? If not, find out and then you should have your answer.