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3.Trigonometrical Ratios, Functions and Identities
easy
Find the radian measures corresponding to the following degree measures:
$-47^{\circ} 30^{\prime}$
A
$\frac{-19}{72} \pi$
B
$\frac{-19}{72} \pi$
C
$\frac{-19}{72} \pi$
D
$\frac{-19}{72} \pi$
Solution
$-47^{\circ} 30^{\prime}-47 \frac{1}{2}$
$=\frac{-95}{2}$ degree
since $180^{\circ}=\pi$ radian
$\frac{-95}{2}$ degree $=\frac{\pi}{180} \times\left(\frac{-95}{2}\right)$ radian $=\left(\frac{-19}{36 \times 2}\right) \pi$ radian $=\frac{-19}{72} \pi$ radian
$\therefore-47^{\circ} 30^{\prime}=\frac{-19}{72} \pi$ radian
Standard 11
Mathematics
