Identify the pair(s) of functions which ...

Identify the pair(s) of functions which are identical

`y=tan(cos^(-1)x),y=sqrt(1-x^(2))/x`

`y=tan(cot^(-1)x), y=1/x`

`y=sin(arctanx),,y=x/sqrt(1+x^(2))`

`y=cos(tan^(-1)x), y=sin(cot^(-1)x)`

Verified by Experts

The correct Answer is:

A, B, C, D

INVERSE TRIGNOMETRIC FUNCTIONS
AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) LINKED COMPREHENSION TYPE QUESTIONS)|3 Videos
INVERSE TRIGNOMETRIC FUNCTIONS
AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) MATRIX MATCHING TYPE QUESTIONS)|1 Videos
INVERSE TRIGNOMETRIC FUNCTIONS
AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) STRAIGHT OBJECTIVE TYPE QUESTIONS)|20 Videos
HYPERBOLIC FUNCTIONS
AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Identify the pair of isomers which are geometrical isomers of each.

`CH_(2)=CH=CH_(2)` & `CH_(3)-CH=CH_(2)`

`CH_(3)-CH=CH-CH_(3)` & `CH_(2)=CH-CH_(2)CH_(3)`

`f(x)=tan(tan^(-1)x)` and `g(x)=cot(cot^(-1)x)`

`f(x)=sin(x)` and `g(x)=sin(sin(x))`

`f(x)=cot^(2) x.cos^(2)x` and `g(x)=cot^(2)x - cos^(2)x`

`f(x)=e^(ln sec^(-1)x)` and `g(x)=sec^(-1)x`

`CH_(3)CH_(2)CH_(2)OH, CH_(3)CH(OH)CH_(3)`

`CH_(3)CH_(2)CH_(2)CH_(2)OH, (CH_(3))_(2) CHCH_(2)OH`

`CH_(3)CH_(2)CH_(2) OH, CH_(3)CH_(2)CH_(2)Cl`

`CH_(3)CH_(2)CH_(2)OH, CH_(3) - O -CH_(2)CH_(3)`