मराठी

Which of the Following is Correct? - Mathematics

प्रश्न

Which of the following is correct?

पर्याय

$\sin 1^{\circ} > \sin 1$
$\sin 1^{\circ} < \sin 1$
$\sin 1^{\circ} = \sin 1$
$\sin 1^{\circ} = \frac{π}{180} \sin 1$

MCQ

उत्तर

We know that, 1 radian is approximately 57º.
Also, the value of sin x is always increasing for $0 \leq x \leq 90^{\circ}$ ( or sin x is an increasing function for $0 \leq x \leq 90^{\circ}$ ).
Now,
$1^{\circ} < 57^{\circ}$
$O r 1^{\circ} < 1 radian$
$∴ \sin 1^{\circ} < \sin 1$

Hence, the correct answer is option $\sin 1^{\circ} < \sin 1$ .

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Trigonometric Equations

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Q 28 Q 27 Next

पाठ 5: Trigonometric Functions - Exercise 5.5 [पृष्ठ ४३]

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आरडी शर्मा Mathematics [English] Class 11

पाठ 5 Trigonometric Functions
Exercise 5.5 | Q 28 | पृष्ठ ४३

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Trigonometric Equations

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