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Prove that cos theta + "sin " (270^...

Prove that
cos `theta + "sin " (270^(@) +theta) - "sin "(270^(@) -theta) + "cos " (180^(@) +theta) =0`

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To prove the equation: \[ \cos \theta + \sin(270^\circ + \theta) - \sin(270^\circ - \theta) + \cos(180^\circ + \theta) = 0 \] we will simplify each term step by step. ...
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