If ` cos alpha = -12//13 , cot beta = 24//7 , 90^(@) lt alpha lt 180^(@) and 180^(@) lt beta lt 270^(@)` , then the quadrant in which ` alpha + beta ` lies

If 90^(@) lt alpha lt 180^(@) and 270^(@) lt beta lt 360^(@) , then which of the following cannot be true?

If cos alpha = (-3)/5 and sin beta = 7/25 where (pi)/2 lt alpha lt pi and 0 lt beta lt (pi)/2 then find the values of tan (alpha + beta) and sin (alpha + beta) .

If sin (120^(@) - alpha) = sin (120^(@) - beta) and 0 lt alpha,beta lt pi then all the values of alpha,beta are

If sin (alpha + beta) = 4/5 , cos (alpha - beta) = (12)/(13) 0 lt alpha lt (pi)/(4), 0 lt beta lt (pi)/(4), find tan 2 alpha .

If cot alpha=(1)/(2) , sec beta=(-5)/(3) where pi lt alpha lt (3pi)/2 and (pi)/(2) lt beta lt pi Find the value of tan(alpha +beta)