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Write the Range of the Function F(X) = Sin X, Where − π 4 ≤ X ≤ π 4 . - Mathematics

Sum

Write the range of the function f(x) = sin [x], where \[\frac{- \pi}{4} \leq x \leq \frac{\pi}{4}\] . 

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Solution

Given : f(x) = sin [x], where \[\frac{- \pi}{4} \leq x \leq \frac{\pi}{4}\] \[- \frac{\pi}{4} \leq x \leq \frac{\pi}{4}\]
\[ \Rightarrow - 0 .785 \leq x \leq 0 . 785\]
\[ \therefore x \in \left[ - 0.785, 0.785 \right]\]
\[\text{ Or }  x = {0, 1}\]
\[\text{ Thus, range of } f(x) = \sin [x] \text{  is } \]
{ sin (-1), sin(0) ,  sin (1) } . 

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 3 Functions
Exercise 3.5 | Q 3 | Page 41
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