Question

Express 4 sin a cos b cos C as a sum of 4 sines

Answer 1

answer is provided in attached image

Answer 2

Answer:

sin (A + B + C) + sin (A + B - C) + sin (A - B + C) + sin (A - B - C)

Step-by-step explanation:

= sin A × cos B × 4 cos C

= 1/2 (2 × sin A × cos B) × 4 cos C

= [sin (A + B) + sin (A - B)] × 2 cos C

= 2 × sin (A + B) × cos C + 2 × sin (A - B) × cos C

= sin (A + B + C) + sin (A + B - C) + sin (A - B + C) + sin (A - B - C)

[ANSWER]

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