How do you simplify $cos^-1 (-1/2)$ ?

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Answer 1 · 2018-05-31T04:52:01

See Below.

Let's assume $x = cos^-1(-1/2)$

So, According to the Definition,

$color(white)(xx) cos x = -1/2$

$rArr x = (2pi)/3 +- 2npi, (4pi)/3 +- 2npi$

For First Revolution, The Values for $x$ are $(2pi)/3$ and $(4pi)/3$ , then use the period to find the full set of solutions.

Hope this helps.

How do you simplify cos^-1 (-1/2) cos^-1 (-1/2) ?