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Prove That Y = `(4sin Theta)/(2 + Cos Theta) - Theta` Is an Increasing Function Of θ In `[0, Pi/2]` - CBSE (Commerce) Class 12 - Mathematics

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Question

Prove that  y = `(4sin theta)/(2 + cos theta) - theta` is an increasing function of θ in `[0, pi/2]`

Solution

We have,

`=> dy/dx > 0`

Therefore, y is strictly increasing in interval `(0, pi/2)`

Also, the given function is continuous at x = 0 and `x = pi/2`

Hence, y is increasing in interval  `[0, pi/2]`

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 6: Application of Derivatives
Q: 9 | Page no. 205
Solution Prove That Y = `(4sin Theta)/(2 + Cos Theta) - Theta` Is an Increasing Function Of θ In `[0, Pi/2]` Concept: Increasing and Decreasing Functions.
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