If `sin alpha = 3/5, tan beta = 1/2 and pi/2 lt alpha lt pi lt beta lt (3pi)/2`, show that `8 tan alpha - sqrt(5) sec beta = - 7/2`.

If sin alpha=(3)/(5),tan beta=(1)/(2) and (pi)/(2)

If sin A = 3/5, tan B = 1/2 and pi/2 lt A lt pi and pi lt B lt (3pi)/(2) then 8 tan A - sqrt(5) sec B =

If 0 lt alpha lt beta lt (pi)/(2) then

If 0 lt alpha lt beta lt (pi)/(2) , prove that, tan alpha-tan beta lt alpha-beta .

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 alpha = 3/5 , where (pi)/2 lt alpha lt pi , evaluate cos 3 alpha .

If sin A=(3)/(5), tan B=(1)/(2) and (pi)/(2) lt A lt pi and pi lt B lt 3(pi)/(2), then 8 tan A+sqrt(5) sec B=

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