Q. 6

# Express each of the following as a product.1. sin 10x + sin 6x2. sin 7x – sin 3x3. cos 7x + cos 5x4. cos2x – cos 4x

1. = 2 =2 =2 Using,

sin( A +B)= sinA cos B + cosA sinB = 2 = 2 = 2cos5x sin2x

Using,

sin( A - B)= sinA cos B - cosA sinB = 2 = 2 = 2 Using,

cos (A + B) = cosAcosB – sinAsinB

4. = -2 = -2 = 2sin3x sinx

Using,

cos (A - B) = cosAcosB+ sinAsinB

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