Question:
The maximum value of sin $\theta $ cos $\theta$ is
The maximum value of sin $\theta $ cos $\theta$ is
Updated On: May 1, 2023
- 1
- $\frac{1}{2}$
- $\frac{1}{\sqrt{2}}$
- $\frac{\sqrt{3}}{2}$
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The Correct Option is B
Solution and Explanation
Max. value of sin $\theta$ cos $\theta$
= Max . value of $\left( \frac{sin 2 \theta}{2} \right)$
= $\frac{1}{2}$ Max. value of sin 2 $\theta$ = $\frac{1}{2}(1) = \frac{1}{2}$
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Notes on Maxima and Minima
Concepts Used:
Maxima and Minima
What are Maxima and Minima of a Function?
The extrema of a function are very well known as Maxima and minima. Maxima is the maximum and minima is the minimum value of a function within the given set of ranges.
There are two types of maxima and minima that exist in a function, such as:
- Local Maxima and Minima
- Absolute or Global Maxima and Minima