Answer :

We have, y =




Now,



8cosθ + 4 = 4 + cos2θ + 4cosθ


cos2θ - 4cosθ = 0


cosθ(cosθ-4) = 0


cosθ = 0 or cosθ = 4


Since, cosθ≠4, cosθ = 0


cosθ = 0 θ = π/2


Now,




In interval,, we have cos θ > 0. Also, 4 > cos θ


4 – cosθ > 0


Therefore, cosθ(4 cosθ) > 0 and also (2 + cosθ)2 > 0




Therefore, y is strictly increasing in interval.


Also, the given function is continuous at x = 0 and x = .


Therefore, y is increasing in interval.


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