" If "(4a)/(a^(2)+1)>=1" and "alpha+(1)/(alpha)" is an odd integer then number of possible values of "alpha" is "

If (4*alpha)/(alpha^(2)+1)>=1 and alpha+(1)/(alpha) is an odd integer then number of possible values of alpha is

If tan alpha=(m)/(m+1) and tan beta=(1)/(2m+1) Find the possible values of (alpha+beta)

If alpha is an integer satisfying | alpha|<=4-|[x]| where x is a real number for which 2x tan^(-1)x is greater than or equal to ln(1+x^(2)), then the number of maximum possible values of alpha (where I.l represents the greatest integer function is

If alpha is an integer satisfying |alpha|lt=4-|[x]|, where x is a real number for which 2xtan^(-1)x is greater than or equal to ln(1+x^2), then the number of maximum possible values of alpha (where [.] represents the greatest integer function) is_____

If alpha is an integer satisfying |alpha|lt=4-|[x]|, where x is a real number for which 2xtan^(-1)x is greater than or equal to ln(1+x^2), then the number of maximum possible values of alpha (where [.] represents the greatest integer function) is_____

If alpha is an integer satisfying |alpha|lt=4-|[x]|, where x is a real number for which 2xtan^(-1)x is greater than or equal to ln(1+x^2), then the number of maximum possible values of alpha (where [.] represents the greatest integer function) is_____

If sin^(2)alpha+ sin alpha=1 , then the value of cos^(4) alpha+ cos^(2) alpha is ________

If 2(sin alpha)/(1+cos alpha+sin alpha)=y then value of (1-cos alpha+sin alpha)/(1+sin alpha) is

If (2 sin alpha)/(1 + cos alpha + sin alpha) = 3/4 , then the value of (1 + cos alpha + sinalpha)/(1 + sin alpha) is equal to