assuming you meant sin(θ) = -1, Check the picture below.
Answer:
O = 2 π n - π/2 for n element Z
Explanation:
Solve for O:
sin(O) = -1
Hint: | Eliminate the sine from the left hand side.
Take the inverse sine of both sides:
Answer: O = 2 π n - π/2 for n element Z
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