Question

7 cos(theta) +24 sin(theta)... What is the maximum and minimum value?

Answer 1

Hey
Maximum and minimum values will be -
-√a²+b² ans√a²+b²
-√7² + 24² = -√625 = -25
√7² + 24² = √625 = 25
Hope it helps :)

Answer 2

- 25 would be the minimum and 25 would be the maximum value of 7 cos(theta) +24 sin(theta).

Step-by-step explanation:

7 Cos∅ + 24 Sin∅ ÷ $\sqrt{7^{2} + 24^{2} }$ = 25

= 25($\frac{7}{25} cos$∅ + $\frac{24}{25}sin$∅)

= 25(sin∝cos∅ + cos∝sin∅)

Now, let sin∝ = 7/25 and cos∅ = 24/25

= 25( sin (∅ + ∝)

Now,

-1 ∠ sin∅ ∠1

∵ Therefore, maximum value = 25 and minimum = -25

Learn more: cos theta

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