- #1
AdityaDev
- 527
- 33
Homework Statement
Prove that sinx+cosx is not one-one in [0,π/2]
Homework Equations
None
The Attempt at a Solution
Let f(α)=f(β)
Then sinα+cosα=sinβ+cosβ
=> √2sin(α+π/4)=√2sin(β+π/4)
=> α=β
so it has to be one-one
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