[" Qualo "4fquad a+beta=90^(@)],[" sthow that the maximeme value of "cos alpha cos beta=(1)/(2)]

If alpha+beta=90^@ , show that the maximum value of cos alpha cos beta is (1)/(2)

If alpha+beta=90^(0) ,show that the maximum value of cos alpha.cos beta is (1)/(2)

If alpha + beta = 90^0 , show that the maximum value of cos alpha.cos beta is 1/2 .

If alpha+beta=90^(0) ,then the minimum and maximum values of cos alpha*cos beta are (A) -1/3 and 1/3 (B) -1 and 1 (C) -1/4 and 1/4 (D) -1/2 and 1/2

If alpha+beta=90^(@),alpha=2beta , then find the value of cos^(2)alpha+sin^(2)beta .

Let cos alpha + cos beta =2 and sinalpha + sinbeta =0 , where 0 le alpha le 90^(@), 0 le beta le 90^(@) . What is the value of cos2alpha - cos 2beta ?

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

.If alpha+beta=90^(@), show that sqrt(cos alpha*csc beta-cos alpha*sin beta) = sin alpha

If alpha and beta satisfy sinalpha cos beta=-1/2 , then the greatest value of 2cos alpha sin beta is ……….