Question

Prove that: x > tan x ; x∈(0,π/2)

Answer 1

Answer:

Chup kar pagal mujhe nhu aata

Answer 2

actually the thing that you asked to prove cannot be proved because it is a false statement

the true statement is

$x < \tan(x)$

i can prove this

   ∙   ∙ Using similar triangles:

tant=sintcost=length(IZ¯¯¯¯¯¯)1⟹tant=length(IZ¯¯¯¯¯¯)tan⁡t=sin⁡tcos⁡t=length(IZ¯)1⟹tan⁡t=length(IZ¯)

   ∙   ∙ tt is the length of the arc IQIQ.

   ∙   ∙ Area of the circular sector OIQ=t2π⋅π⋅12=t2OIQ=t2π⋅π⋅12=t2.

   ∙   ∙ Area of △OIZ=12