Question

- Prove that 1+sin(x)- Cos(x)= 2 Sin(1/2x) [ Cos(1/2x) +Sin(1/2x) ]

I'm stuck at the last step for like an hour or so
reached this
1+sin(x)- Cos(x) = Sin(X) + 2Sin^2(1/2x)

Help please :)

Answer 1

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Answer 2

Remember \(1-\cos(2x)\)?