Home
Class 11
MATHS
Assertion: sin(cot^(-1)(1/2))=tan(cos^(-...

Assertion: `sin(cot^(-1)(1/2))=tan(cos^(-1)x)` then the value of `x=(sqrt(5))/3`
Reason R: `cos(tan^(-1)(sin(cot^(-1)x)))=sqrt(((1+x^(2))/(2+x^(2))))`

A

Both A and R are true and R is correct explanation of A

B

Both A and R are true and R is not correct explanation of A

C

A is true, R is false

D

A is false but R is true

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE-II|71 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|7 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|7 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos

Similar Questions

Explore conceptually related problems

If cos(cot^(-1)(1/2))=cot(cos^(-1)x) , then a value of x is

Prove that cos[Tan^(-1){sin(Cot^(-1)x)}] = sqrt((x^(2)+1)/(x^(2)+2))

sin(Cot^(-1)(cos(Tan^(-1)x)))=

int (tan (sin^(-1)x))/(sqrt(1-x^(2)))dx=

sin[cot^(-1){cos(tan^(-1)x)}]=

A value of tan^(-1){sin(cos^(-1)sqrt(2/3))} is

sin[cot^(-1)((2x)/(1-x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2)))]=

f(x)=sin{cot^(-1)(x+1)}-cos(tan^(-1)x), The value of x for which f(x) = 0 is

A value of Tan^(-1){sin(Cos^(-1)sqrt(2/3))} is