The sum of the three smallest positive values of theta such that 4(cos((theta)) = 1 is k(pi). find k.

We are given

We can divide both sides by 2

now, we can use trig identity

so, we can use it

we can take sin^-1 both sides

We can take first three positive value

First value is:

Second value is:

Third value is:

now, we can add them

now, we are given that sum is k(pi)

so, we can set them equal

Divide both sides by pi

and we get

................Answer

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