To evaluate / sin 5æ sin 3æ sin ædæ, we will use the following trigonometric identities. sin a sin ß = (cos(a – B) – cos(a + B)I sin a sin ß = (cos(a+ B) + cos(a – B)] Which of the following integral expressions is the transformation of sin 5æ sin 3æ sin ædæ using the identities? Oa. 1 (sin 9æ + sin 7æ + sin 3x + sinæ)dx O b. 1 (cos 9x – cos 7x – cos 3x + cosæ)dæ Oc. (sin 9r – sin 7x – sin 3z + sina)dr d. 1 (cos 9x + cos 7æ + cos 3x + cosæ)dæ O e. None of the choices.

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A: Given that, sina+sinb=53             (1)cosa+cosb=1                  (2)

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A: The given expressions are,I. II. III. IV. The aim is to find the true identities.

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