Question on: JAMB Mathematics - 2024
Evaluate \(\sin 45^\circ + \sin 30^\circ\) in surd form
A
\(\frac{\sqrt{3}}{2\sqrt{2}}\)
B
√3 − \(\frac{1}{2}\)
C
\(\frac{1}{2}\)√2
D
1 + \(\frac{\sqrt{2}}{2}\)
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Correct Option: D
\(\sin 45 = \frac{1}{\sqrt{2}}\)
\(\sin 30 = \frac{1}{2}\)
Therefore:
\(\sin 45 + \sin 30 = \frac{1}{\sqrt{2}} + \frac{1}{2} = \frac{\sqrt{2} + 1}{2} = \frac{1 + \sqrt{2}}{2}\)
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