Question

how to find the minimum and maximum Value of 7cosA+24SinA

please say by explanation I will mark as brainliest ​

Answer 1

Step-by-step explanation:

Since both Sin(θ) and Cos(θ) have the maximum value of 1 and the minimum value of -1, now in order to find the maximum and minimum value of 7 Cos(θ) + 24 Sin(θ) we need to pay attention to the coefficient of each function (Sin(θ) or Cos(θ)), which is 7 for 7 Cos(θ), and 24 for 24 Sin(θ). And since 24 is bigger than 7 and each function (Sin(θ) or Cos(θ)) has the maximum value of 1 and the minimum value of -1, and since whenever Sin(θ) is equal to 0, Cos(θ) has the value of 1 or -1, and whenever Cos(θ) is equal to 0, Sin(θ)) has the value of 1 or -1, then the maximum value of 7 Cos(θ) + 24 Sin(θ) is 24, which happens when Sin(θ) = 1 and Cos(θ) = 0. And so does with the minimum value of 7 Cos(θ) + 24 Sin(θ), which is -24, which happens when Sin(θ) = -1 and Cos(θ) = 0.

Answer 2

Answer:

the minimum and maximum value of 7 cosA + 24 sin A

Step-by-step explanation:

72 + 242 = 25 , -72 + 242 = -25

respectively