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Using the formula sin(A-B) = sinA cosB - cosA sinB, find the value of sin15. |
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Answer» Sin 15= sin(60-45)=sin 60 cos 45- cos 60 sin 45= √3/2 x 1/√2- 1/2 x1/√2= (√3-1)/2√2 Sin 15= sin (45-30) = sin 45.cos 30 - cos 45.sin30 = 1/root 2 × root 3/2 - 1/root 2 × 1/2 = root 3/ 2 root 2 - 1/2 root 2 = root 3 -1/ 2 root 2 Root 6 /4 |
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