For function y = 2 + k tan 2x where 0 < = x < = α in degree and k is a constant < 0.
This function is always decreasing in the range 0 < = x < = α.
It also passes through points (0, 2) and (α, 0).
Find the value of tan α.
Function
2013-05-07 4:21 pm
回答 (1)
2013-05-07 10:18 pm
✔ 最佳答案
Sub (0,2) and (α, 0).0 = 2 + k tan2α
tan2α = -2/k
2tanα/(1 - tan^2α) = -2/k
tan^2α - ktanα - 1 = 0
tanα = (k ± √(k^2 + 4))/2
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