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$$\cos(3\pi/2 - a) = -\sin(a)$$

According to an answer to one of the questions in my book that's true, but come up with that? $$\cos(\pi/2 - a) = \sin(a),$$ but this is $3\pi/2$. Do you just ignore if $\pi$ is multiplied by anything or?

wythagoras
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windy401
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2 Answers2

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Hope this picture solves it for you.

enter image description here

Moti
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Hint $cos(a-b)=\cos(a)\cos(b)+\sin(a)\sin(b)$ can you get it now.