If a cos2x+b sin2x=c has α and β as its roots, then prove that(i) ta – InterviewSolution

1.	If a cos2x+b sin2x=c has α and β as its roots, then prove that(i) tanα+tanβ=2ba+c [NCERT EXEMPLAR](ii) tanα tanβ=c-ac+a(iii) tanα+β=ba [NCERT EXEMPLAR]
Answer» If $a \cos 2 x + b \sin 2 x = c$ has α and β as its roots, then prove that (i) $\tan α + \tan β = \frac{2 b}{a + c}$ [NCERT EXEMPLAR] (ii) $\tan α \tan β = \frac{c - a}{c + a}$ (iii) $\tan (α + β) = \frac{b}{a}$ [NCERT EXEMPLAR]

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