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3.Trigonometrical Ratios, Functions and Identities
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Find the degree measures corresponding to the following radian measures (Use $\pi=\frac{22}{7}$ ).
$-4$
A
$-229^{\circ} 5^{\prime} 27^{\prime \prime}$
B
$-229^{\circ} 5^{\prime} 27^{\prime \prime}$
C
$-229^{\circ} 5^{\prime} 27^{\prime \prime}$
D
$-229^{\circ} 5^{\prime} 27^{\prime \prime}$
Solution
We know that $\pi$ radian $=180^{\circ}$
$-4$ radian $=\frac{180}{\pi} \times(-4)$ degree
$=\frac{180 \times 7(-4)}{22}$ degree
$=\frac{-2520}{11}$ degree $=-229 \frac{1}{11}$ degree
$=-229^{\circ}+\frac{1 \times 60}{11}$ minutes $\left[1^{\circ}=60^{\prime}\right]$
$=-229^{\circ}+5^{\prime}+\frac{5}{11}$ minutes
$=-229^{\circ} 5^{\prime} 27^{\prime \prime} \quad\left[1^{\prime}=60^{\prime \prime}\right]$
Standard 11
Mathematics
