Answer :

Given: a cos 2x + b sin 2x = c



We know,




Therefore,


a cos 2x + b sin 2x = c









We know,


If m and n are roots of the equation ax2 + bx + c = 0


then,


Sum of the roots(m+n)


Therefore,


If tan α and tan β are the roots of the equation



then,





Hence Proved


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