If `alpha le sin^(-1)x+cos^(-1)x +tan^(-1)xlebeta` then find the value of alpha and beta

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

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

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

If A=[{:(cos alpha,sin alpha),(-sin alpha, cos alpha):}] and A^(-1)=A ' then find the value of alpha .

Given that tan alpha = (m)/( m +1), tan beta = (1)/(2m +1) then what is the value of alpha + beta?

If alpha = sin^(-1) (cos(sin^-1) x)) and beta = cos^(-1) (sin (cos^(-1) x)) , then find tan alpha. tan beta.

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

If alpha and beta are the roots of the equation x^2+4x + 1=0(alpha > beta) then find the value of 1/(alpha)^2 + 1/(beta)^2

If alpha and beta are roots of the equation a cos theta + b sin theta = c , then find the value of tan (alpha + beta).

If alpha and beta (alpha gt beta) are the roots of x^(2) + kx - 1 =0 , then find the value of tan^(-1) alpha - tan^(-1) beta