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in Trigonometry by (46.9k points)
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If sin α + cos α = b, then sin 2α is equal to .....

(a) b2 - 1, if b ≤ √2 

(b) b2 - 1, if b > √2

(c) b2 - 1, if b ≥ 1

(d) b2 - 1, if b ≥ √2

1 Answer

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Best answer

(b) b2 - 1, if b > √2

sin α + cos β = b 

(sin α + cos β)2 = b2

sin2 α + cos2 α + 2 sin α cos α = b2 

sin2 α = b2 – 1

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