Question:
If sin a and cos a are the roots of the quadratic equations ax2 bx c=0 then b2 = pls help me..
Answer:
Given equation is ax2 + bx + c = 0
and sina and cosa are the roots of the equation.
Now sina + cosa = -b/a
sina*cosa = c/a
Now sin2 a + cos2 a = 1
=> (sina +cosa)2 - 2 sina*cosa = 1
=> (b/a)2 - 2c /a =1
=> b2 /a2 -2c/a =1
=> (b2 - 2ac)/a2 = 1
=> b2 - 2ac = a2
=> b2 = a2 + 2ac
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