Verify that cos (270° - q) = -sin q is an identity.

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24-04-2018
Mathematics

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Verify that cos (270° - q) = -sin q is an identity.

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Blitztiger Blitztiger · Answer 1 · 2018-04-24T11:33:31+02:00

Blitztiger Blitztiger

24-04-2018

See the attached picture. cos(270 - q) = adjacent/hypotenuse for the red triangle = -a/c. Note the -a is because this is in the -x direction.
sin q = a/c, so -sin q = -a/c.
Therefore, cos(270 - q) = -sin q is true.

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