A complicated equation was simplified and factored into (tanx) (sin²x – a ) (sec x - a) = 0. Determine the number of roots of

Question

A complicated equation was simplified and factored into (tanx) (sin²x – a ) (sec x - a) = 0.
Determine the number of roots of the equation over the domain 0 <= x <= 2π if:
a) 0< a < 1
b) a > 1

Kunduz · Accepted Answer

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