Determine all value of 'a' for which the...

Determine all value of 'a' for which the equation ` cos^(4) x-(a+2) cos^(2)x-(a+3)=0`, possess solution. Find the solutions.

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The correct Answer is:

`x=n pi pm cos^(-1) sqrt(a+3)`, where ` n in z and a in[-3,-2]`

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