Prove that the function f given by f(x) = log cos x is strictly increasing on (–π/2, 0) and strictly decreasing on (0, π/2) ?
we have,

In Interval (0,), tan x > 0

In interval (), tan x < 0

Question

Prove that the function f given by f(x) = log cos x is strictly increasing on (–π/2, 0) and strictly decreasing on (0, π/2) ?

Philoid · Accepted Answer

we have,

In Interval (0,), tan x > 0

In interval (), tan x < 0