Question
Find the general solution of the equations $\sin x=\tan x$
sin x = tan x
∴ sin x = sinx/cosx
∴ sin x cos x - sin x = 0
∴ sin x (cos x - 1) = 0
∴ sin x = 0 or cos x = 1
∴ sin x = sin 0 or cos x = cos 0
Since, sin θ = 0 implies θ = nπ and cos θ = cos α implies θ = 2nπ±α , n ∈ Z.
∴ x = nπ or x = 2mπ ± 0
∴ the required general solution is x = nπ or x = 2mπ, where n, m ∈ Z.
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$e ^{2.1}$, given that $e ^2=7.389$.