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## Homework Statement

Solve (1+cosx)sin^2x = x^2 + 1/(x^2)

## Homework Equations

## The Attempt at a Solution

RHS is always greater than or equal to 2

LHS is always less than or equal to 2 as

1+cosx is always less than or equal to 2 and sin^2x is always less than or equal to 1

so there is a solution when LHS=RHS=2

but my book says there is no solution as LHS is always less than 2 (not equal to 2)

How?