How do you solve and find the value of $cos^-1(-1)$ ?

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How do you solve and find the value of $cos^-1(-1)$ ?

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Answer 1 · 2016-10-26T00:24:45

You can call v its value... Also remember that $cos^-1$ is the same as $arccos$ ...

So, let's say that:

$v=arccos(-1)$

If this is the case, then:

$cos(v)=-1$

It turns out that:

$cos(pi)=-1$

Therefore, $v=pi$ and this is your answer. You can check this result by looking at the $y=arccosx$ graph below. When $x=-1$ , $y=pi$ which confirms that the result we've obtained is correct.

graph{y=arccosx [-10, 10, -5, 5]}

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How do you solve and find the value of $cos^-1(-1)$ ?

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