Q. If a cos2θ+ b sin2θ= c has α and β as its roots, the prove thattanα +tanβ = 2b/a+c
Naman sharma , 6 Years ago
Grade 11
Trigonometry> Q. If a cos2 θ + b sin2 θ = c has α and β...
1 Answers
Arun
Last Activity: 6 Years ago
Dear Naman
a (1- tan² theta/1 + tan² theta) + b ( 2tan theta/1 + tan² theta) = c
Now I am writing tan theta as t
a (1 - t²) + b (2t) = c (1+t²)
(a+c) t² + 2b t + (a-c) = 0
As alpha and beta are roots, hence
tan alpha + tan beta = 2b/a +c
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