Home
Class 12
MATHS
If alpha, beta and gamma are the three a...

If `alpha, beta and gamma` are the three angles with `alpha = 2tan^(-1)(sqrt2-1); beta = 3sin^(-1)(1/sqrt2)+sin^(-1)(-1/2)` and `gamma = cos^(-1)(1/3),` then

A

`alpha gt beta`

B

`beta gt gamma`

C

`alpha lt gamma`

D

`alpha gt gamma`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -3|75 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -I|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -2 (Level -I)|7 Videos

  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|6 Videos

  • LIMIT

    MOTION|Exercise EXERCISE-4|17 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta and gamma are the three angles with alpha=2tan^(-1)(sqrt(2)-1);beta=3sin^(-1)((1)/(sqrt(2)))+sin^(-1)(-(1)/(2)) and gamma=cos^(-1)((1)/(3)), then

If alpha,beta and gamma are the three angles with alpha=2tan^(-1)(sqrt(2)-1);beta=3sin^(-1)((1)/(sqrt(2)))+sin^(-1)(-(1)/(2)) and gamma=cos^(-1)((1)/(3)), then

If alpha = sin^(-1)(sqrt(3)/2)+sin^(-1)(1/3) , beta =cos ^(-1)(sqrt(3)/2)+cos^(-1)(1/3) then

If alpha,beta and gamma are acute angled such that sin alpha = sqrt3/2 cos beta = sqrt3/2and tan gamma = 1 , then what is alpha+ beta + gamma equal to ?

If alpha, beta, gamma in [0,2pi] , then the sum of all possible values of alpha, beta, gamma if sin alpha=-1/sqrt(2), cos beta=-1/sqrt(2), tan gamma =-sqrt(3) , is

If alpha,beta,gamma are the roots of the equation x^(3)+4x+1=0 then (alpha+beta)^(-1)+(beta+gamma)^(-1)+(gamma+alpha)^(-1)=

If each of alpha beta and gamma is a positive acute angle such that sin(alpha+beta-gamma)=(1)/(2)cos(beta+gamma-alpha)=(1)/(2) and tan(gamma+alpha-beta)=1 find the values of alpha,beta and gamma