Α = sin90o, β = sin30o, find quadratic equation
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the roots are A & B
A = sin90° = 1
B = sin30° = ½
so, required quadratic equation is
x² - ( A + B)x + AB = 0
or, x² - ( 1 + ½)x + 1*½ = 0
or, x² - 3x/2 + ½ = 0
or, 2x² -3x +1 = 0
this is the required quadratic equation.
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