Question

find the maximum value of12 cosx +5 sinx+4​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

f(x)=5sinx+12cosx

Now

5

2

+12

2

=

169

=13

Multiplying and dividing by 13, we get

=13(

13

5

sinx+

13

12

cosx)

=13(sinx.cosθ+cosx.sinθ)

=13sin(x+θ) where θ=cos

−1

(

13

5

)=sin

−1

(

13

12

)

Hence

f(x)=13sin(x+θ). Therefore maximum value of f(x) will be

f(x)

max

=13. as sin

max

(x+θ)=1