Home
Class 12
MATHS
Let alpha and beta be real numbers such ...

Let `alpha and beta` be real numbers such that `-pi/4 lt beta lt 0 lt alpha lt pi/4` .If `sin (alpha +beta) = 1/3 and cos(alpha-beta)=2/3`, then the greatest integer less than or equal to
`((sin alpha )/cos beta+cos beta/(sin alpha)+cos alpha/sin beta +sin beta/cos alpha )^(2)` is _________.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE ADVANCED 2022

    JEE ADVANCED PREVIOUS YEAR|Exercise Mathematics (SECTION 2)|6 Videos

  • JEE ADVANCED 2022

    JEE ADVANCED PREVIOUS YEAR|Exercise Mathematics (SECTION 3)|4 Videos

  • JEE ADVANCED 2021

    JEE ADVANCED PREVIOUS YEAR|Exercise QUESTION|38 Videos

  • JEE ADVANCED 2023

    JEE ADVANCED PREVIOUS YEAR|Exercise Question|31 Videos

Similar Questions

Explore conceptually related problems

If 0 lt beta lt alpha lt pi//4, cos(alpha+beta)=3//5 and cos(alpha-beta)=4//5 , then evaluate sin 2alpha .

(sin^(2)alpha-sin^(2)beta)/(sin alpha cos alpha-sin beta cos beta)=tan(alpha+beta)

cos (alpha + beta) cos gamma-cos (beta + gamma) cos alpha = sin beta sin (gamma-alpha)

(sinalpha cos beta+cos alpha sin beta)^2+(cos alpha cos beta-sin alpha sin beta)^2=1

(cos alpha + cos beta) ^ (2) + (sin alpha + sin beta) ^ (2) =

If 0 lt beta lt alpha lt gamma and cos(alpha + beta) = 4/5 , sin(alpha - beta)= 5/13 then tan 2alpha =________