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Prove that the Function F Given By F(X) = Log Sin X Is Strictly Increasing on `(0. Pi/2)` And Strictly Decreasing on `(Pi/2, Pi)` - Mathematics

Question

Prove that the function f given by f(x) = log sin x is strictly increasing on `(0. pi/2)` and strictly decreasing on `(pi/2, pi)`

Solution

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 (Latest))
Chapter 6: Application of Derivatives
Q: 16 | Page no. 206
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Prove that the Function F Given By F(X) = Log Sin X Is Strictly Increasing on `(0. Pi/2)` And Strictly Decreasing on `(Pi/2, Pi)` Concept: Increasing and Decreasing Functions.
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