First slide

Extreme values and Periodicity of Trigonometric functions

Question

The maximum distance of a point on the graph of the function $y = \sqrt{3} \sin x + \cos x$ from $x$ -axis is

Easy

A

1
B

3
C

4
D

2

Solution

The maximum distance of a point on the graph of the function
$\begin{array}{l} y = \sqrt{3} \sin x + \cos x \\ = 2 \sin (x + \frac{π}{2}) \end{array} T h e m a x i m u m d i s \tan c e f r o m x - a x i s i s 2 u n i t s .$

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