PART 1 Prove that (1+cos 2x+sin 2x)/(1-cos 2x+sin 2x)= cot x. PART 2 Hence, solve the equation 1+sin 2x=3 cos 2x for 0<x<360 for which cos 2x not equal zero. ANSWER PART 2
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You should use the following trigonometric identities to solve the equation `1 + sin 2x = 3 cos 2x` such that:
sin 2x = (2 tan ((2x)/2))/(1 + tan^2((2x)/2))
`sin 2x = (2 tan x)/(1 + tan^2 x)`
`cos2x = (1- tan^2 x)/(1 + tan^2 x)`
`1 + (2 tan x)/(1 + tan^2 x) = 3(1 - tan^2 x)/(1 + tan^2 x)`
Moving the terms to one side yields:
`1 + (2 tan x)/(1 + tan^2 x)- 3(1 -...
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