Home
Class 11
MATHS
If beta is such that sin beta !=0 then ...

If `beta` is such that `sin beta !=0` then show that `(x^2+2xcos2alpha+1)/(x^2+2xcos2beta+1) x in R` always lies between `(cos^2alpha)/(cos^2beta)` and `(sin^2alpha)/(sin^2 beta)`

Promotional Banner

Similar Questions

Explore conceptually related problems

If x be real, prove that (x^(2) -2xcos alpha+1)/(x^(2) -2xcos beta+1) lies between sin^(2) alpha/2*cosec^(2) beta/2 and cos^(2) alpha/2*sec^(2) beta/2

If cos(alpha+beta)=0 then sin^(2)alpha+sin^(2)beta

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

If cos alpha + cos beta =0 = sin alpha + sin beta , then cos 2 alpha + cos 2 beta is equal to

Prove that (cos2 alpha-cos 2 beta)/(sin2 alpha+sin2 beta)=tan(beta-alpha)

If cos alpha+cos beta=0=sin alpha+sin beta then cos2 alpha+cos2 beta=

If cos alpha + cos beta = 0 = sin alpha + sin beta, then value of cos 2 alpha + cos 2 beta is