हिंदी

Which of the Following is Correct?

प्रश्न

Which of the following is correct?

विकल्प

\[\sin1^\circ > \sin1\]
\[\sin1^\circ < \sin1\]
\[\sin1^\circ = \sin1\]
\[\sin1^\circ = \frac{\pi}{180}\sin1\]

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,
\[1^\circ < 57^\circ\]
\[Or 1^\circ < 1\text{ radian }\]
\[ \therefore \sin1^\circ < \sin1\]

Hence, the correct answer is option \[\sin1^\circ < \sin1\].

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Trigonometric Equations

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Q 28 Q 27 Next

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

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आर.डी. शर्मा Mathematics [English] Class 11

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

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