Math, asked by adip12th, 1 year ago

maximum value of 3 cos x + 4 sin x

Answers

Answered by TheSam007
17
The maximum value of :
3|sinx| + 4|cosx| is same as the maximum value of 3sinx +4cosx for x in first quadrant.
3sinx+4cosx
=5(3/5 sinx + 4/5 cosx)
=5sin(x+A).
where 3/5=cosA and 4/5=sinA

adip12th: sorry galat h
TheSam007: ohhh
TheSam007: i will try again
adip12th: okkkk
adip12th: ans. is 5
TheSam007: good
Answered by aburaihana123
0

The maximum value of trigonometry function 3 cos x + 4 sin x is 5

Step-by-step explanation:

Given : The given function is 3 cos x + 4 sin x

To find: The maximim value of 3 cos x + 4 sin x

Formula used : √(a2 + b2).

solution:

3 cos x + 4 sin x

As we know that,

The maximum value of trigonometry function can be denoted as a cos x + b sin x is √(a2 + b2).

From the given function we can take the values

a = 3 ;

b = 4

Substitute the values in the maximum value function formula

√(a2 + b2) = \sqrt[n]{(3)^{2} +(4)^{2} }

= \sqrt{25}

= 5

Therefore the maximum value is 5

Final answer:

The maximum value of function 3 cos x + 4 sin x is 5

#SPJ2

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