Question

32.
If 5 cos x + 12 cos y =13, then the maximum value of. 5sin x +12 sín y is
1)12. 2)
$\sqrt{120}$
3)
$\sqrt{20}$
4) 13
​

Answer 1

Answer:

option 3 is correct please mark me as brainliest

thanks for the question

bye

...

Answer 2

Answer:

5sinx+12siny =$\sqrt{120}$  is the maximum value and option B is correct.

Step-by-step explanation:

As per the data given in the question we have to calculate maximum value of 5sin x +12 sin y.

As per the question it is given that  5 cos x + 12 cos y =13.

(5sinx+12siny)^2 +(5cosx+12cosy)^2 = 169+120cos(x−y)

⇒(5sinx+12siny)^2 +169=169+120cos(x−y)

⇒(5sinx+12siny)^2 =120cos(x−y)

⇒(5sinx+12siny)=  root of 120cos(x−y)

This is maximum when cos(x−y) is maximum, which is 1 or (x=y)

⇒5cosx+12cosx=13

⇒cos x= 13/17 which is possible.

Hence, 5sinx+12siny =$\sqrt{120}$  is the maximum value and option B is correct.

For such type of questions:

https://brainly.in/question/31760516

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