Find the value of `beta`, if the value of `alpha` is 0.95.

The value of 95 x 96 is :

Find the value of tan (alpha+beta) , given that : cot alpha=1/2, alpha in (pi, (3 pi)/2) and sec beta= -5/3, beta in (pi/2,pi) and state the quadrant in which (alpha+beta) terminates.

If A=2 sin^2 theta - cos 2 theta and A in [alpha, beta] , then find the values of alpha and beta.

Consider the equation of a pair of straight lines as x^2-3xy+lambday^2+3x=5y+2=0 The point of intersection of line is (alpha, beta) , then the value of alpha^2+beta^2 is

Find the value of f(alpha, beta) =|(cos (alpha + beta), -sin (alpha + beta), cos 2beta),(sin alpha, cos alpha, sin beta),(-cos alpha, sin alpha, cos beta)|

If alpha+beta=90^@ , then find the maximum and minimum values of sin alpha sin beta .

If A=[[cos alpha, -sin alpha] , [sin alpha, cos alpha]], B=[[cos2beta, sin 2beta] , [sin 2 beta, -cos2beta]] where 0 lt beta lt pi/2 then prove that BAB=A^(-1) Also find the least positive value of alpha for which BA^4B= A^(-1)

If alpha a n d beta are the roots of x^2-3x+2=0 find the value of (1+ alpha )(1+ beta ).

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