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What is cos(3.14-angle)?

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econominty | Student, Undergraduate | Honors

Posted January 21, 2012 at 1:38 AM via web

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What is cos(3.14-angle)?

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted January 21, 2012 at 1:57 AM (Answer #1)

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You should come up with the substitution `alpha = angle ` and `3.14 = pi` .

You need to expand the cosine using the formula `cos(x-y) = cosx*cosy + sin x*sin y`  such that:

`cos(pi - alpha) = cos pi*cos alpha + sin pi*sin alpha`

Using `cos pi = -1`  and `sin pi = 0`  yields:

`cos(pi - alpha) = -cos alpha + 0*sin alpha`

`cos(pi - alpha) = -cos alpha`

Hence, evaluating `cos(pi - alpha)`  yields the negative value of cos alpha such that: `cos(pi - alpha) = -cos alpha` .

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