SOLUTION: {{{sin^2(a)+cos^4(a)=A}}} What is the range of A ?

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Question 514298: sin%5E2%28a%29%2Bcos%5E4%28a%29=A
What is the range of A ?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
sin^2(a)+cos^4(a)=A
What is the range of A ?
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Make a table:
.........(a)=...0....π/6.....π/4.........π/3.......π/2
sin^2(a)=....0...0.25.....0.5...... 0.56.......1
cos^4a)=....1...0.56.....0.25...... 0.25.......0
..........A=...1....0.81....0.75........0.81.......1
From the table above:
maximum=1
minimum=.75
Range: (.75, 1)
note: If table extended beyond π/2, values in table will repeat.