AL trigonometry

2009-12-31 7:20 am
find the maximum value for

7cosθ+24sinθ

options:
(A)7(B)24(C)25(D)31



回答 (1)

2009-12-31 7:28 am
✔ 最佳答案
7cosθ+24sinθ
=25[(7/25)cosθ+(24/25)sinθ]
=25[(7/25)cosθ+(24/25)sinθ]
=25[cosxcosθ+sinxsinθ]
=25cos(x-θ)
Since -1<=cos(x-θ)<=1, the max. value is 25


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