Book Maths Puzzle Numerical Ability

the value of 2sin^2 45+2cos^2 45+2sec^2 60 is

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if m=acos^3A+3acosAsin^2A and n=asin^3A+3asinAcos^2A then find the value of(m+n)^(2/3)+(m-n)^(2/3) the angle of elevation of a cloud from a point 60 m above a lake is 30 degree and the angle of depression of the reflection of cloud in the lake is 60 degree. find the height of the cloud