maximum value of 3 cos x + 4 sin x
Answers
Answered by
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
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
Answered by
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) =
=
= 5
Therefore the maximum value is 5
Final answer:
The maximum value of function 3 cos x + 4 sin x is 5
#SPJ2
Similar questions
World Languages,
8 months ago
Sociology,
1 year ago
Physics,
1 year ago
Chemistry,
1 year ago
History,
1 year ago