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WAEC Further Mathematics 2011 Paper

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Question : 2

Total: 40

Express 75° in radians, leaving your answer in terms of

\pi

.

$\;\frac{5\pi}{12}$
$\;\frac{3\pi}{4}$
$\;\frac{5\pi}{6}$
$\;\frac{7\pi}{6}$

Solution:

$180^{\circ} = \pi \text{ rads}$

$1^{\circ} = \;\frac{\pi}{180}$

$\therefore 75^{\circ} = \;\frac{\pi}{180} \times 75$

= $\;\frac{5\pi}{12}$

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