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MATHEMATICS

JAMB 2009 - Question 34

Mathematics 2009 JAMB Past Questions - Question 34: Find the value of sin 45° - cos 30°

Find the value of sin 45° - cos 30°

A: 2+√6/4

B: √2+√3/4

C: √2+3√/2

D: √2-3√ /2

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Correct Answer

Explanation

1/√2 - √3/2 = 2-√6/2√2 X 2√2/2√2 = 4√2 - 4√3/8 = √2 - √3/2To find the value of sin 45° - cos 30°, we can use the trigonometric values of these angles.sin 45° = √2/2cos 30° = √3/2Substituting these values into the expression:sin 45° - cos 30° = √2/2 - √3/2To simplify the expression, we need to rationalize the denominator:(sin 45° - cos 30°) * (2/2) = (√2 - √3) / 2Therefore, the value of sin 45° - cos 30° is (√2 - √3) / 2.