AD is the median of triangle ABC and angle BAD = theta ,,and angle CAD=phi ,,prove that cot theta+cot c=cot b+ cot phi

Dear Student,
Please find below the solution to the asked query:

This is direction application m-n rule and question is of Solution of triangle,not trigonometric functions.

In our question, AD is median, henceADBD=11=mnα=θ and β=ϕApplying m-n rule we get1+1cotADC=1 cotθ-1 cotϕ=1 cotB-1 cotCcotθ- cotϕ=cotB-cotCcotθ+cotC=cotB+cotϕ Hence Proved

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