Trigonometry - compound angles

👨🏻‍🏫 學術台數學

用戶225241

2008-03-01 9:32 pm

Solve (1+ tanx) / (1-tanx) = 2
Find.the general solution

回答 (2)

Kenny

2008-03-01 10:13 pm

✔ 最佳答案

(1+ tanx) / (1-tanx) = 2

1+tanx = 2(1-tanx)

1+tanx = 2-2tanx

3tanx = 1

tanx = 1/3

tanx = tan18.4°(corr. to 3 sig. fig.)

x=180°n+18.4°

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Edward

2008-03-01 9:45 pm

( 1 + tan x )/( 1 - tan x ) = 2
1 + tan x = 2 - 2 tan x
3tan x = 1
tan x = 1/3
x = 18.4 or 180 + 18.4 = 198.4

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