Find all solutions if 0° ≤ θ < 360°. Verify your answer graphically. (Enter your answers as a comma-separated list.)? sin 2θ = −1/2

1 Answer
Aug 9, 2018

See below

Explanation:

Let’s say 2theta is equal to u:
sinu= -1/2
u= 210^@+-360^@n
u= 330^@+-360^@n

Now let’s solve for theta:
theta= 105^@ +-180^@n
theta= 165^@ +-180^@n

Now find all feasible solutions by adding or subtracting 180^@ to all the solutions:
theta= 105^@, 165^@, 285^@, 345^@