Trigonometric EquationHard
Question
If tan2 θ - (1 + √3) tan θ + √3 = 0, then the general value of θ is :
Options
A.nπ +
, nπ + 
B.nπ -
, nπ + 
C.nπ +
, nπ - 
D.nπ -
, nπ - 
Solution
tan2 θ - tan θ - √3 [tan θ + √3 = 0
tan θ [tan θ -1] - √3 [tan θ -1] = 0
⇒ tan θ = 1, tan θ = √3
θ = nπ +
, θ = nπ + 
tan θ [tan θ -1] - √3 [tan θ -1] = 0
⇒ tan θ = 1, tan θ = √3
θ = nπ +
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