1. 若-1 ≤ x ≤ 1，則sin (arcsin x), cos (arccos x)一定等於 x 嗎？
2. 若x為全體實數，則tan (arctan x)一定等於 x 嗎？
3. 求arcsin (sin 9π/13).
4. 求arcsin (sin 15π/13).
5. 求arcsin (sin 22π/13).
6. 求arcsin (sin 31π/13).
7. 求arcsin (sin -74π/13).
反三角函數計算
2012-06-25 3:07 am
回答 (2)
2012-06-26 4:57 am
✔ 最佳答案
1. 對2. 對
3. arcsin (sin 9π/13)=arcsin (sin (π-4π/13))=arcsin (sin 4π/13)=4π/13
4. arcsin (sin 15π/13)=arcsin (sin(π+ 2π/13))=arcsin (-sin(2π/13))
=arcsin (sin(-2π/13))=-2π/13
5. arcsin (sin 22π/13)=arcsin (sin(2π-4π/13))=arcsin (sin(-4π/13))=-4π/13
6. arcsin (sin 31π/13)=arcsin (sin(2π+ 5π/13))=arcsin (sin 5π/13)= 5π/13
7. arcsin (sin -74π/13)=arcsin (sin (-6π+4π/13))=arcsin (sin 4π/13)=4π/13
.
2012-06-25 6:11 pm
1. 是
2. 是
3. nπ + (-1)^n(9π/13)
4. nπ + (-1)^n(15π/13)
5. nπ + (-1)^n(22π/13)
6. nπ + (-1)^n(31π/13)
7. nπ + (-1)^(n + 1)(74π/13)
2. 是
3. nπ + (-1)^n(9π/13)
4. nπ + (-1)^n(15π/13)
5. nπ + (-1)^n(22π/13)
6. nπ + (-1)^n(31π/13)
7. nπ + (-1)^(n + 1)(74π/13)
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