Evaluate (45º + 30º ) in surd form

Correct Answer is : 1+22{1 + {2}}{2}21+2

Correct Answer is : 1+22{1 + {2}}{2}21+2

Test Index

JAMB Mathematics 2017 Paper

Question : 6

Total: 44

Evaluate ( $\sin$ 45º + $\sin$ 30º ) in surd form

Solution:

Concept:

Use the exact trigonometric values for special angles.

Explanation:

\sin 45^\circ = \frac{\sqrt{2}}{2}

and

\sin 30^\circ = \frac{1}{2}

Add the two values:

\sin 45^\circ + \sin 30^\circ = \frac{\sqrt{2}}{2} + \frac{1}{2}

Since they have the same denominator, add the numerators:

\frac{\sqrt{2}}{2} + \frac{1}{2} = \frac{\sqrt{2} + 1}{2}

This can also be written as

\frac{1 + \sqrt{2}}{2}

Answer:

\frac{1 + \sqrt{2}}{2}

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