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  1. If sin α + cos β = 2 (0° ≤ β ≤ α ≤ 90°), then sin (2α + β / 3) =
    1. sin
      α
      2
    2. cos
      α
      3
    3. sin
      α
      3
    4. cos
      2α
      3
Correct Option: B

sinα + cosβ = 2
sinα ≤ 1 ; cosβ ≤ 1
⇒ α = 90° ; β = 0°

= sin 60° =
√3
2

Also,
cos
α
 = cos 30° =
√3
32


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