passpadi

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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