how to find the minimum and maximum Value of 7cosA+24SinA
please say by explanation I will mark as brainliest
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how to find the minimum and maximum Value of 7cosA+24SinA
please say by explanation I will mark as brainliest
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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:
the minimum and maximum value of 7 cosA + 24 sin A
Step-by-step explanation:
72 + 242 = 25 , -72 + 242 = -25
respectively