tan8分之派等于多少
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解决时间 2021-03-06 21:34
- 提问者网友：低吟詩仙的傷
- 2021-03-06 16:55
tan8分之派等于多少
最佳答案
- 五星知识达人网友：冷風如刀
- 2021-03-06 18:00
let x = π/8
2x = π/4
tan2x = 2tanx/(1-(tanx)^2)
1 = 2tanπ/8 / (1- (tanπ/8)^2 )
1- (tanπ/8)^2 = 2 tanπ/8
(tanπ/8)^2 + 2tanπ/8 -1 =0
tanπ/8 = -1 +√2
or tanπ/8 = -1+√2 ( rejected)
tanπ/8 = -1 +√2
2x = π/4
tan2x = 2tanx/(1-(tanx)^2)
1 = 2tanπ/8 / (1- (tanπ/8)^2 )
1- (tanπ/8)^2 = 2 tanπ/8
(tanπ/8)^2 + 2tanπ/8 -1 =0
tanπ/8 = -1 +√2
or tanπ/8 = -1+√2 ( rejected)
tanπ/8 = -1 +√2
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