If `sin alpha cos beta=-(1)/(2)` then find the range of values of `cos alpha sin beta`

if alpha and beta satisfy sin alpha cos beta=-(1)/(2), then the greatest value of 2cos alpha sin beta is

If alpha and beta satisfy sin alpha cos beta=-((1)/(2)), then the greatest value of 2cos alpha sin beta is

If sin alpha + sin beta =2 , then find the value of cos^(2)alpha+cos^(2)beta .

If sin alpha=(15)/(17) and cos beta=(12)/(13) find the values of sin(alpha+beta),cos(alpha-beta) and tan(alpha+beta)

If sin alpha.sinbeta - cos alpha.cos beta+1=0 , then find the value of cot alpha.tan beta .

If alpha , beta are complementry angles such that bsin alpha = a , the find the value of (sin alpha cos beta - cos alpha sin beta) .

If sin alpha=(3)/(5) and cos beta=(9)/(41) find the value of sin(alpha-beta) and cos(alpha+beta)

If sin alpha sin beta-cos alpha cos beta+1=0, then the value of 1+cot alpha tan beta is

Let alpha, beta" such that "pi lt alpha-beta lt 3pi." If sin "alpha+sin beta=-21//65 cos alpha+cos beta=-27//65 , then find the value of cos ""(alpha-beta)/(2) .

If sin alpha+sin beta=2 then find the value of cos^(2)alpha+cos^(2)beta