Question

the maximum value of the function 4cosx+3sinx+20​

Answer 1

Answer:

-4sinx+3cosx=20

tanx = 3/4

x=36.86°

So maximum value is

4sin(36.86)+3cosx(36.86)+20=24.8.

Answer 2

Answer:

Maximum value is

$\sqrt{ {4}^{2} + {3}^{2} } + 20 = \sqrt{25} + 20 = 5 + 20 = 25$

ans.