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) \(\sqrt 2 \sin \left( {\alpha + \frac{\pi }{4}} \right)\sin \beta = \sin 2a\)2) \(\sqrt 2 \sin \theta = \cos \left( {\alpha - \frac{\pi }{4}} \right)\)Select the correct answer using the code give below:

If sin β is the harmonic mean of sin α and cos α and sin θ is the

1.	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) \(\sqrt 2 \sin \left( {\alpha + \frac{\pi }{4}} \right)\sin \beta = \sin 2a\)2) \(\sqrt 2 \sin \theta = \cos \left( {\alpha - \frac{\pi }{4}} \right)\)Select the correct answer using the code give below:
A.	1 only
B.	2 only
C.	Both 1 and 2
D.	Neither 1 nor 2
Answer» D. Neither 1 nor 2

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