If sin β is the harmonic mean of sin α and cos α, and sin θ is the arithmetic mean of sin α and cos α, then which of the following is/are correct?

1. √2 sin (α + π/4) sin β = sin 2α

2. √2 sin θ = cos (α – π/4)

Select the correct answer using the code given below:

Mathematics 2018 NDA Mathematics 2018 NDA 2018

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