Question

if A=cos^2x+sin^4x for all x in R, then prove that 3/4<=A<=1​

Answer 1

Step-by-step explanation:

If A =cos^2x + sin^4x, prove that 3/4_<A<_ 1 for all values of x. 1 ... 1 ≥ sin²x ≥ 0 for all x € R ... +√(4A -3) ≤ 1 { for -√ (4A-3) ≤ 1 this is always true for all A≥ 3/4 }