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The magnitude of cos(135°) is the same as that of cos(45°) [cos(180° - 135°)], and the sign is negative because it is in the second quadrant of the Cartesian plane, so it's the reciprocal of the negative square root of two, about -0.707.

The cosines of 2nd- and 3rd-quadrant angles are negative, and the sines of 3rd- and 4th-quadrant angles are negative.

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Q: How do you get the exact value of cos 135?
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