Trigonometric EquationHard
Question
The equation 2cos2 
sin2 x = x2 + x-2, x ≤ 
has
sin2 x = x2 + x-2, x ≤ has Options
A.no real solution
B.one real solution
C.more than real solution
D.None of the above
Solution
Given equation 2cos2 sin2 x = x2 + x-2, x ≤
LHS = 2cos2 sin2 x < 2
and RHS = x2 +
≥ 2
∴ The equation has no real solution.
sin2 x = x2 + x-2, x ≤ LHS = 2cos2
sin2 x < 2and RHS = x2 +
≥ 2 ∴ The equation has no real solution.
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