If 0ltxlt1 then tan^(-1)(sqrt(1-x^(2))/(...

If `0ltxlt1` then `tan^(-1)(sqrt(1-x^(2))/(1+x))`is equal to

`1/2cos^(-1)x`

`cos^(-1)sqrt((1+x)/2)`

`sin^(-1)sqrt((1-x)/2)`

All the above

Verified by Experts

The correct Answer is:

B , C

INVERSET TRIGONOMETRIC FUNCTIONS
AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-II (ADVANCED) SINGLE ANSWER TYPE QUESTIONS)|3 Videos
INVERSET TRIGONOMETRIC FUNCTIONS
AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-II (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|4 Videos
INVERSET TRIGONOMETRIC FUNCTIONS
AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -III LEVEL -II (ADVANCED) INTEGER ANSWER TYPE QUESTIONS)22|1 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos
LIMITS
AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos

Cos^(-1)(cos""(10pi)/7)+Sin^(-1)(sin""(35pi)/11)+Tan^(-1)(tan""(24pi)/...
Text Solution
|
The value of cos^(-1){1/(sqrt(2))("cos"(9pi)/10-"sin"(9pi)/10)} is
Text Solution
|
sin(Cot^(-1)(cos(Tan^(-1)x)))=
Text Solution
|
The value of Sin^(-1)(sin10) is
Text Solution
|
Cos^(-1)(cos12) -Sin^(-1) (sin12)=
Text Solution
|
Show that cot(Sin^-1sqrt(13/17))=sin(Tan^-1""2/3).
Text Solution
|
cos(2cos^(-1)(7//25))=
Text Solution
|
A value of tan^(-1){sin(cos^(-1)sqrt(2/3))} is
Text Solution
|
sec^(2)(tan^(-1)(2))+cosec^(2)(cot^(-1)(2))=
Text Solution
|
sin(1//2cot^(-1)(-3//4))=
Text Solution
|
tan[1/2Cos^(-1)(sqrt5/3)]=
Text Solution
|
If Sin^(-1)(x//5)+Cosec^(-1)(5//4)=pi//2 then a value of x is
Text Solution
|
(Tan^(-1)x)^(2)+(Cos^(-1)x)^(2)=5pi^(2)//8rArrx=
Text Solution
|
If n in N, sum(k=1)^(n)sin^(-1(x(k))=(npi)/2 then the value of sum(k=1...
Text Solution
|
If sum(r=1)^(n)Cos^(-1)x(r)=0," then "sum(r=1)^(n)x(r) equals to
Text Solution
|
If 0ltxlt1 then tan^(-1)(sqrt(1-x^(2))/(1+x))is equal to
Text Solution
|
The equation 2Cos^(-1)x=Cos^(-1)(2x^(2)-1) is satisfied by
Text Solution
|
tan^(-1)(x+sqrt(1+x^(2)))=
Text Solution
|
If 1/2tan^(-1)((2x)/(x^(2)-1))+"cos"^(-1)(x^(2)-1)/(x^(2)+1)=(2pi)/3 t...
Text Solution
|
cos[2sin^(-1)sqrt((1-x)/2)]=
Text Solution
|

Similar Questions