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2017
Mathematics
JAMB
Evaluate (sin45° + sin30° ) in surd form
A.
√3/2√2
B.
√3 − 1/2
C.
1/2 √2
D.
1+√2/2
Correct Answer:
1+√2/2
Explanation
hypotenuse sin = 1/2 sin45=1/√2 = 2/2 ∴ (sin45 + sin30) = 1/√2 + 1/2 = √2/2 + 1/2 = √2+1/2 = 1+√2/2
hypotenuse sin = 1/2 sin45=1/√2 = 2/2 ∴ (sin45 + sin30) = 1/√2 + 1/2 = √2/2 + 1/2 = √2+1/2 = 1+√2/2
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