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If X = Sin14 X + Cos20 X, Then Write the Smallest Interval in Which the Value Of X Lie. - Mathematics

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Question

If x = sin14 x + cos20  x, then write the smallest interval in which the value of x lie.

Solution

If x = 0°, 90°, 180°, 270°, 360°, then
\[\sin^{14} x + \cos^{20} x\text{ will always be 1 .}\]
The smallest interval in which the value of x lie is \[(0, 1)\].

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Chapter 5: Trigonometric Functions - Exercise 5.4 [Page 41]

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RD Sharma Mathematics [English] Class 11
Chapter 5 Trigonometric Functions
Exercise 5.4 | Q 16 | Page 41
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