Question

What is the maximum value of -5sin(θ)+12cos(θ)​

Answer 1

Step-by-step explanation:

-5(-1)+ 12= 17.................

Answer 2

Step-by-step explanation:

The given equation is

- 5 sin theta + 12 cos theta .

Equating this expression with

a sin theta + b sin theta

We get , the value of a = - 5

And , the value of b = 12

Since , maximum value of an expression a sin theta + b cos theta is given by √( a^2 + b^2 ) .

Hence , the maximum value of the given equation will be equal to √( 12)^2 + (5)^2 = √ 144 + 25 = √ 169 = 13