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Write the Range of the Function F(X) = Cos [X], Where − π 2 < X < π 2 . - Mathematics

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प्रश्न

Write the range of the function f(x) = cos [x], where \[\frac{- \pi}{2} < x < \frac{\pi}{2}\] .

 

उत्तर

Since f(x) = cos [x], where

\[\frac{- \pi}{2} < x < \frac{\pi}{2}\] ,
\[- \frac{\pi}{2} < x < \frac{\pi}{2}\]
\[ \Rightarrow - 1 . 57 < x < 1 . 57\]
\[ \Rightarrow [x] \in { - 1, 0, 1, 2}\]
\[\text{ Thus } , \cos [x] = {\cos ( - 1), \cos 0, \cos1, \cos 2 } . \]
\[\text{ Range of }  f(x) = {\cos 1, 1, \cos 2} .\]
 
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अध्याय 3: Functions - Exercise 3.5 [पृष्ठ ४१]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 3 Functions
Exercise 3.5 | Q 5 | पृष्ठ ४१

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