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  1. If sin(A + B) = sin A cos B + cos A sin B, then the value of sin75° is
    1. √3 + 1
      √2
    2. √2 + 1
      2√2
    3. √3 + 1
      2√2
    4. √3 + 1
      2
Correct Option: C

A = 45°, B = 30° (let)
∴ sin (A + B) = sinA . cosB + cosA . sinB
⇒ sin(45° + 30°)
= sin45°. cos30° + cos45° . sin30°

=
1
×
√3
+
1
×
1

√22√22

=
√3
+
1
=
√3 + 1

2√22√22√2


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