Find the general solution for tanax=cotbx

Steps to solve  Find the general solution for tanax=cotbx

⇒tanax=cotbx

⇒tanax=tan(π/2-bx)

⇒ax=nπ+π/2-bx

⇒ax+bx=nπ+π/2

⇒x(a+b)=(2nπ+π)/2

⇒x=(2nπ+π)/2(a+b)=π(2n+1)/2(a+b)

Hence the general solution for tanax=cotbx is π(2n+1)/2(a+b)

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