JAMB 2017 · UTME (set 2) · Q6

Evaluate sin⁡45∘+sin⁡30∘\sin 45^\circ + \sin 30^\circ in surd form.

Worked solution (try it first)
  1. Use the exact values: sin⁡45∘=22\sin45^\circ = \frac{\sqrt2}{2} and sin⁡30∘=12\sin30^\circ = \frac12.
  2. Both are over 2, so add the tops: 22+12=1+22\frac{\sqrt2}{2} + \frac12 = \frac{1 + \sqrt2}{2}, option D.

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