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  1. If sinx × cosy + cosx × siny = 1, then the value of x + y will be
    1. π
      2
    2. -
      π
      2
    3. π
      3
    4. π
      4
Correct Option: A

Here,
sinx × cosy + cosx × siny = 1
→ sin(x + y) = 1
[∵ sin (A + B) = sinA cosB + cosA sinB]

⇒ sin(x + y) = sin
π
2

⇒ x + y =
π
2


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