Home
Class 12
MATHS
If alpha=3sin^-1(6/11) and beta=3cos^-1(...

If `alpha=3sin^-1(6/11) `and `beta=3cos^-1(4/9)`, where the inverse trigonometric functions take only the principal values, then the correct option(s) is (are)

A

`cos beta gt 0`

B

`sin beta lt 0`

C

`cos ( alpha + beta) gt0`

D

`cos alpha lt 0`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|9 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|4 Videos

Similar Questions

Explore conceptually related problems

cos^(-1) (cos (-5)) + sin^(-1) (sin(6)) - tan^(-1)(tan (12)) is equal to : (The inverse trigonometric functions take the principal values)

cos^(-1) (cos (-5)) + sin^(-1) (sin(6)) - tan^(-1)(tan (12)) is equal to : (The inverse trigonometric functions take the principal values)

Knowledge Check

  • If alpha=sin^-1(sqrt3/2)+sin^-1(1/3) and beta=cos^-1(sqrt3/2)+cos^-1(1/3) then

    A
    `alphagtbeta`
    B
    `alpha=beta`
    C
    `alphagtbeta`
    D
    `alpha+beta=2pi`

  • Find the values of the trigonometric function sin quad (-(11 pi)/(3))

    A
    `0`
    B
    `1`
    C
    ` sqrt1`
    D
    ` sqrt3 /2`

    • Similar Questions

    Explore conceptually related problems

    Transform sin^(-1)x in other inverse trigonometric function,where x in(-1,1)-(0)

    Find the value of the trigonometric function sin(-(11 pi)/(3))

    If alpha=3sin^(-1)(2/3) and beta=2cos^(-1)(1/3) then which of the following is/are CORRECT?

    Find the value of the following trigonometric functions: sin(-(11pi)/3)

    Given that the inverse trigonometric functions take principal values only. Then, the number of real values of x which satisfy sin^(-1)((3x)/(5))+sin^(-1)((4x)/(5))=sin^(-1)x is equal to :

    If we consider only the principal value of the inverse trigonometric functions then the value of tan (cos^-1 (1/sqrt(2))-sin^-1 (4/sqrt(17)) is (A) sqrt(29)/3 (B) 29/3 (C) sqrt(3)/29 (D) - 3/5

    Home
    Profile