(B) The expression is of the form $y = a \sin x + b \cos x$. The maximum value of this expression is given by $\sqrt{a^2 + b^2}$. Here,$a = 3$ and $b

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(B) The expression is of the form $y = a \sin x + b \cos x$. The maximum value of this expression is given by $\sqrt{a^2 + b^2}$. Here,$a = 3$ and $b = 4$. Therefore,the maximum value is $\sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$.

Class 11 Mathematics Trigonometrical Ratios, Functions and Identities Maximum and minimum values of trigonometrical functions, Conditional trigonometrical identities

Easy

If $y = 3 \sin x + 4 \cos x$,then find the maximum value of $y$.

A
$-5$
B
$5$
C
$7$
D
$1$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Trigonometrical Ratios, Functions and Identities

Subtopic

Maximum and minimum values of trigonometrical functions, Conditional trigonometrical identities

If $A + B + C = \pi ,$ then $\cos \, 2A + \cos \, 2B + \cos \, 2C = $

Medium

View Solution

Given $a^2 + 2a + \csc^2 \left( \frac{\pi}{2}(a + x) \right) = 0$,then which of the following holds good?

View Solution

In $\Delta ABC$,the minimum value of $\frac{\sum \cot^2 \frac{A}{2} \cot^2 \frac{B}{2}}{\prod \cot^2 \frac{A}{2}}$ is

View Solution

The minimum value of $27^{\cos 2x} 81^{\sin 2x}$ is

MediumKCET 2009

View Solution

The maximum value of the function $y = e^{5 + \sqrt{3} \sin x + \cos x}$ is

EasyMHT CET 2020

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

If $y = 3 \sin x + 4 \cos x$,then find the maximum value of $y$.

Similar Questions

If $A + B + C = \pi ,$ then $\cos \, 2A + \cos \, 2B + \cos \, 2C = $

Given $a^2 + 2a + \csc^2 \left( \frac{\pi}{2}(a + x) \right) = 0$,then which of the following holds good?

In $\Delta ABC$,the minimum value of $\frac{\sum \cot^2 \frac{A}{2} \cot^2 \frac{B}{2}}{\prod \cot^2 \frac{A}{2}}$ is

The minimum value of $27^{\cos 2x} 81^{\sin 2x}$ is

The maximum value of the function $y = e^{5 + \sqrt{3} \sin x + \cos x}$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module