If `alpha+beta=gamma and tan gamma=22, a` is the arithmetic and b is the geometric mean respectively between `tan alpha and tan beta`, then the value of `(a^3/(1-b^2)^3)` is equal to

If tan alpha =m/(m+1) and tan beta =1/(2m+1) , then alpha+beta is equal to

The arithmetic mean of two positive numbers a and b exceeds their geometric mean by (3)/(2) and the geometric mean exceeds their harmonic mean by (6)/(5) . If a+b=alpha and |a-b|=beta, then the value of (10beta)/(alpha) is equal to

(1+tan alpha tan beta)^2 + (tan alpha - tan beta)^2 =

If cos(alpha+beta)+sin(alpha-beta)=0 and tan beta ne1 , then find the value of tan alpha .

The arithmetic mean of two positive numbers a and b exceeds their geometric mean by 2 and the harmonic mean is one - fifth of the greater of a and b, such that alpha=a+b and beta=|a-b| , then the value of alpha+beta^(2) is equal to

If alpha+beta=pi/4 then (1+tan alpha)(1+tan beta)=

If sin alpha+sin beta=a and cos alpha-cos beta=b then tan((alpha-beta)/2) is equal to-

If cos( alpha+beta) + sin(alpha-beta) = 0 and 2010tan beta - 1 = 0 then tan alpha is equal to

If sin alpha + sin beta=a and cos alpha+cosbeta=b then tan((alpha-beta)/2) is equal to

If 0lt=alpha,betalt=90^@ and tan(alpha+beta)=3 and tan(alpha-beta)=2 then value of sin2alpha is