Question

If sinβ is the harmonic mean of sinα and cosα , and sinθ is the arithmetic mean of sinα and cosα , then which of the following is/are correct?

1. √2sin(α + π/4)sin = sin2α

2. √2sinθ = cos(α - π/4)

Select the correct answer using the code given below:

a. 1 only

b. 2 only

c. Both 1 and 2

d. Neither 1 nor 2

Answer 1

Correct option c. Both 1 and 2

Explanation: