sin (A-B) = sinAcosB - cosAsinB to sin15° to find tha
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Answer: √3 - 1 / 2√2
Step-by-step explanation:
sin 15
= sin (45 - 30)
[ as per formula sin(A - B) = sin A x cos B + cos A x sin B]
= sin 45 x cos 30 - cos 45 x sin 30
[ sin 45 = cos 45 = 1/√2 and sin 30 = 1/2 , cos 30 = √3/2]
= 1/√2 x √3/2 - 1/√2 x 1/2
= √3/2√2 - 1/2√2
= √3 - 1 / 2√2
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