3.Trigonometrical Ratios, Functions and Identities
easy

निम्नलिखित रेडियन माप के संगत डिग्री माप ज्ञात कीजिए ( $\pi=\frac{22}{7}$ का प्रयोग करें)

$\frac{11}{16}$

A

$39^{\circ} 22^{\prime} 30^{\prime \prime}$

B

$39^{\circ} 22^{\prime} 30^{\prime \prime}$

C

$39^{\circ} 22^{\prime} 30^{\prime \prime}$

D

$39^{\circ} 22^{\prime} 30^{\prime \prime}$

Solution

We know that $\pi$ radian $=180^{\circ}$

$\therefore \frac{11}{16}$ radian $=\frac{180}{\pi} \times \frac{11}{16}$ degree $=\frac{45 \times 11}{\pi \times 4}$ degree

$=\frac{45 \times 11 \times 7}{22 \times 4}$ degree $=\frac{315}{8}$ degree

$=36 \frac{3}{8}$ degree

$=39^{\circ}+\frac{3 \times 60}{8}$ minutes     $\left[1^{\circ}=60^{\prime}\right]$

$=39^{\circ}+22^{\prime}+\frac{1}{2}$ minutes

$=39^{\circ} 22^{\prime} 30^{\prime \prime} \quad\left[1^{\prime}=60^{\prime \prime}\right]$

Standard 11
Mathematics

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