Find the value of sin 210° and cos 315°.
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if you convert 210∘ into radians, you get 7π6 From there, you should see that 7π6 is basically π6 in the third quadrant, where sin is negative in the unit circle, which is the same as sin(−π6) or sin(−30∘) . Now, since sin is an odd function, we can pull the negative out front, and get −sin(30∘)=−12
The value of cos 315 degrees can be calculated by constructing an angle of 315° with the x-axis, and then finding the coordinates of the corresponding point (0.7071, -0.7071) on the unit circle. The value of cos 315° is equal to the x-coordinate (0.7071). ∴ cos 315° = 0.7071.
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