Book Maths Puzzle Numerical Ability

if sin A+sin^2 A=1, then find the value of cos^2 A+cos^4 A

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Book Other Question

the area of a triangle whose vertices are A(3,2) B(11,8) and C(8,12) is 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)