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Kassandra Ross

Kassandra Ross

Answered question

2022-06-27

Consider m = tan x + sin x + cos x sin x cos x . Now determine m so that expression has solution .

Answer & Explanation

Josie123

Josie123

Beginner2022-06-28Added 16 answers

m = tan x + tan x + 1 tan x 1 m tan x m = tan 2 x tan x + tan x + 1
tan 2 x m tan x + m + 1 = 0
The discriminant of this quadratic in tan x must be non-negative, so it must be
Δ = m 2 4 m 4 0
and we're done since tan x is onto R

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