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

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

A

`cos betagt0`

B

`sinbetalt0`

C

`cos(alpha+beta)gt0`

D

`cos alpha lt0`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Topper's Solved these Questions

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -I LEVEL -II (ADVANCED) LINKED COMPREHENSION TYPE QUESTIONS)|3 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -I LEVEL -II (ADVANCED) Matrix matching type questions )|1 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -I LEVEL -II (ADVANCED) SINGLE ANSWER TYPE QUESTIONS)|6 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos
  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos

Similar Questions

Explore conceptually related problems

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)

Let alpha=sin^(-1)(36/85), beta=cos^(-1)(4/5) and gamma=tan^(-1)(8/15) then

sin h^(-1) (2 alpha) = 2 cos h^(-1) (beta) then

sin^(-1)(1/3) , Find Cos inverse(x)

If we consider only the principle values of the inverse trigonometric functions then the value of tan(cos^(-1)""1/(5sqrt(2))-sin^(-1)""4/sqrt(17)) is

The principal value of sin^(-1)(-(sqrt(3))/2) is

If cos alpha = (-3)/5 and sin beta = 7/25 where (pi)/2 lt alpha lt pi and 0 lt beta lt (pi)/2 then find the values of tan (alpha + beta) and sin (alpha + beta) .

If cos alpha + cos beta = 3/2 and sin alpha + sin beta = 1/2 and theta is the arithmetic mean of alpha and beta then sin 2 theta + cos 2 theta

If alpha, beta are different values of theta satisfying the equation 5 cos theta + 12 sin theta = 11 then the value of sin (alpha + beta)=