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If the quadratic equation , 4^(sec^(2)...

If the quadratic equation ,
`4^(sec^(2)alpha) x^(2) + 2x + (beta^(2)- beta + 1/2) = 0` have meal roots, then find all the possible value of `cos alpha + cos^(-1) beta`.

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Verified by Experts

The correct Answer is:
`cos alpha-cos^(-1)beta={:{(pi/3-1",when n is an even integar"),(pi/3+1",when n is an even integer"):}`
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