Question

The value of tanx+cotx, where x is the angle, can not be:

1

Can be any of these

0

Infinity​

Answer 1

Answer:

R.E.F image

as both tanx and cotx are Periodic x f(x) is

Periodic with period π

f(x)=min(tanx,cotx)

f(x+π)=min(tan(x+π),cot(x+π))

f(x+π)=min(tanx,cotx)

thus f(x)=f(x+π)

from graph we can see f(x) is disscointions

at Points where x= 2nπ

nϵz &

as at Points where x= 4nn

nϵz there

exists a concer thus these are non-differnc

tiable.

f(x)=min (tanx,cotx)

To find range of f(x) we will use

graphical approach

Draw the and graph for tanx,cotx for all

xϵ[0,π] and that graph will

give us range as they both are

periodic function with period π

cotx=tanx

tan

2

x=1

⇒tanx=±1

x=π/4,

4

3π

as xϵ[0,π]

From graph the dared lines give the required

answer the Range of f(x) is (−∞,−1)∪(0,1)