Trigonometric EquationMedium
Question
The number of solutions of the equation sin(ex) = 5x + 5-x is
Options
A.0
B.1
C.2
D.infinitely many
Solution
Given equation is sin(ex) = 5x + 5-x is
LHS = sin(ex) < 1, for all x ∈ R
and RHS5x + 5-x ≥ 2
∴ = sin(ex) = 5x + 5-x has no solution.
LHS = sin(ex) < 1, for all x ∈ R
and RHS5x + 5-x ≥ 2
∴ = sin(ex) = 5x + 5-x has no solution.
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