The equation tan (x-pi/3) is equal to?

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The equation tan (x-pi/3) is equal to?

answer 1 sq. root 3 tan x +1 /sq root 3- tan x

answer 2 sq root 3 tan x-1 / sq root 3 +tan x

answer 3 tan x + sq root 3 / 1- sq root 3 tan x

answer 4 tan x- sq root 3 / 1+ sq root 3 tan x

pi is the numerator 3 is the denominator in this instance

Guest Mar 18, 2015

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Best Answer

+128578

+5

Using the identity

tan( u - v) = [ tan u - tan v ] / [1 + tan u * tan v]

So we have

tan ( x - pi/3) = [ tan x - tan((pi/3) ] / [ 1 + tanx * tan (pi/3) ] =

[tanx - √3 ] / [ 1 + √3 tanx]

So..... 4 is correct

CPhill Mar 18, 2015

3⁺⁰ Answers

+118608

+5

You need to use brackets - the meanings are far from clear

Melody Mar 18, 2015

+128578

+5

Best Answer

Using the identity

tan( u - v) = [ tan u - tan v ] / [1 + tan u * tan v]

So we have

tan ( x - pi/3) = [ tan x - tan((pi/3) ] / [ 1 + tanx * tan (pi/3) ] =

[tanx - √3 ] / [ 1 + √3 tanx]

So..... 4 is correct

CPhill Mar 18, 2015

0

what is the - was a + in the original equation. Would you just flip the final equation, or switch signs?

Guest Mar 17, 2017

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