Question

Using sin (A - B) = sin A cos B - Cos A sin B, find sin 15°​

Answer 1

Step-by-step explanation:

sin15° can be write as sin(45°-30°)

so, by using sin(A-B)= sinA.cosB - cosA.sinB

»sin(45°-30°)=sin45°.cos30°-cos45°.sin30°

=(1/√2×√3/2)-(1/√2×1/2)

=(√3/2)-(1/2√2)

=(√3×√2 -1)/2√2

=(√6-1)/2√2 Answer.

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