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15 April, 07:38

Sin (theta) = - sqrt (2) / 2, what is the angle measure?

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  1. 15 April, 09:18
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    Sin (theta) = - √2 / 2

    We will use the unit circle:

    m ∠ (theta) = 225° = 5π / 4 + 2 k π, k ∈ Z

    m ∠ (theta) = 315° = 7π / 4 + 2 k π, k ∈ Z

    Answer:

    The angle measure is 5π/4 or 7π/4.
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