Find the general solution for tan^2x+sec^2x=3

Steps to solve Find the general solution for tan^2x+sec^2x=3

⇒tan^2x+sec^2x=3

⇒tan^2x+(1+tan^2x)=3

⇒2tan^2x+1=3

⇒2tan^2x=2

⇒tan^2x=1

⇒tanx=±1

⇒tanx=tan(±π/4)

⇒x=nπ±π/4

Hence the general solution for tan^2x+sec^2x=3 is nπ±π/4

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