1.

Find the principal and general solutions of thefollowing equations:1. tanxv3

Answer»

tan x =√3

We know thattanπ/3=√3

tan(π+π/3)=tanπ/3= √3

⇒tan4π/3

∴ tanπ3=tan4π/3= √3

∴Principal solutions areπ/3,4π/3

Iftanx = tanπ/3

∴General solution:x=nπ+π/3wheren∈z



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