Amaths - double angles

2008-09-03 7:56 am
e.g. Sin(A+B)= 2SinACosB
請問 A和B的大小有沒有限制,是否一定要在90o以內?

更新1:

Is Cos(180 - @) = Cos@, if 90<@<180?

回答 (2)

2008-09-03 3:27 pm
✔ 最佳答案
Q1.
sin (A + B) =2sinAcosB only if A = B. There is no condition for the range of A, A can be any angle such as 100, 200, 300, -400 etc.
Q2.
cos(180 - x) = -cos x for 90 < x < 180. since x is in the 2nd quadrant.

2008-09-03 07:30:42 補充:
For example: cos100 = cos(180 - 80) = -cos 80. You can verify with your calculator.
2008-09-03 7:58 am
Sin(A+B)=sinAcosB+cosAsinB


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