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What is tan(x-pi)?
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We'll have to use the following identity to compute tan(x - `pi` ).
`tan (a - b)` = `(tan a - tan b)/(1 + tan a*tan b)`
We'll replace a and b by x and `pi`, such as:
`tan (x - pi )` = `(tan x - tan pi)/(1 + tan x*tan pi)`
But `tan pi = sin pi/cos pi = 0/-1 = 0`
`tan (x - pi) = (tan x - 0)/(1 + tan x*0)`
`tan(x - pi) = tan x`
Therefore, the value of tangent of the difference `x - pi` remains the same as the value of the tangent of the angle x.
Posted by giorgiana1976 on August 28, 2011 at 9:27 PM (Answer #1)
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