Trigonometric EquationMedium
Question
αis solution of equation 49cosx - 13.(7)cosx + 40 = 0 in [0, 2π], then -
Options
A.number of possible values of α is 4.
B.number of possible values of α is 2.
C.sum of all values of α is 4π
D.sum of all values of α is 2π
Solution
7cosx = t
t2 - 13t + 40 = 0
⇒ t = 8 or 5
⇒ cosx = log78 (rejected) or cos α = log75
α1 + α2 = 2π
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