Question

write the maximum and minimum values of the following functions a)2sinx b)sinx+4 c)5cos(x+3)​

Answer 1

Given :  a)2sinx b)sinx+4 c)5cos(x+3)​

To Find :  maximum and minimum values of the following functions

Solution:

a)2sinx

Sinx  maximum = 1

Sinx minimum = - 1

=> 2 Sinx  maximum = 2

2Sinx minimum = - 2

b)sinx+4

sinx+4  maximum =  1 + 4 = 5

sinx+4   minimum = -1 + 4  = 3

Cos(ax + b)  maximum = 1

Cos(ax + b)  minimum = - 1

=> 5cos(x+3)​ maximum = 5

    5cos(x+3)​ minimum = -5

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