Find the exact value of tan 2x if tan x=7/11, and pi[tex] \leq [/tex]x[tex] \leq [/tex] 3pi/2

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15-07-2017
Mathematics

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Find the exact value of tan 2x if tan x=7/11, and pi[tex] \leq [/tex]x[tex] \leq [/tex] 3pi/2

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CastleRook CastleRook · Answer 1 · 2017-07-21T11:28:08+02:00

CastleRook CastleRook

21-07-2017

this is the concept of trigonometry, by trigonometric rules:
tan 2x=[2tan x]/[1-tan^2 x]
given that tan x=7/11
then:
tan 2x=[2*7/11]/[1-(7/11)^2]
=[14/11]/[1-49/121]
=[14/11]/[72/121]
=77/36

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