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Show that function f(x) = tan x is increasing in π(0,π2). - Mathematics and Statistics

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प्रश्न

Show that function f(x) = tan x is increasing in `(0, π/2)`.

योग

उत्तर

Given, f(x) = tan x

f'(x) = sec2x

But sec2x > 0, ∀x∈ (0, π/2)

Hence f(x) = tan x is strictly increasing in (0, π/2).

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2021-2022 (March) Set 1

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