sinA-cosA=1/2 find the value SinA*CosA
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Given: sinA - cosA = 1/2
On squaring both the sides we get,
→ (sinA - cosA)² = (1/2)²
→ sin²A + cos²A - 2 sinA · cosA = 1/4
Since sin²A + cos²A = 1.
→ 1 - 2 sinA · cosA = 1/4
→ 1 - 1/4 = 2 sinA · cosA
→ 3/4 × 1/2 = sinA · cosA
→ 3/8 = sinA · cosA
Hence value of sinA · cosA is ⅜.
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