The equation 2cos2 sin2 x = x2 + x-2, x ≤ has

Given equation 2cos2 sin2 x = x2 + x-2, x ≤ LHS = 2cos2 sin2 x and RHS = x2 + ≥ 2 ∴ The equation has no real solution.

Trigonometric EquationMedium

Question

The equation 2cos²

sin² x = x² + x^-2, x ≤

has

A.no real solution

B.one real solution

C.more than real solution

D.None of the above

Given equation 2cos²

sin² x = x² + x^-2, x ≤

LHS = 2cos²

sin² x < 2
and RHS = x² +

≥ 2
∴ The equation has no real solution.

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