At what radian measure in the interval [0, 2π] do both the sine and cosine functions equal -√2/2?
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5π/4
This angle corresponds to 225 degrees, located in the third quadrant. In this quadrant, both the x (cosine) and y (sine) coordinates on the unit circle are negative.
Also asked as:
- Which radian measure in [0, 2π] results in sin(θ) = cos(θ) = -√2/2?