If `sinA=1/2,cosB=(sqrt(3))/2`, where `pi/2 lt A lt pi` and `0 lt B lt pi/2` find `tan(A+B)`

If sinA=1/2,cosB=(sqrt(3))/2, w h e r epi/2 lt A lt pi and 0ltBltpi/2 find the following: tan(A-B)_dot

If 0 lt x lt pi/2 then

If tanA=3/4 , cosB=9/(41) , where pi lt A lt (3pi)/2 and 0 lt B lt pi/2 , find tan(A+B)

If 0 lt x lt pi /2 then

If cosA=-sqrt(3)/2, sinB=-5/13 , where pi/2 lt A lt pi, (3pi)/(2) lt B lt 2pi , find the value of tan(A-B) .

If sin A=3/5 and cos B = 9/41, 0 lt A lt pi/2 and 0 lt B lt pi/2 . Find the values of that : sin (A+B)

If tanA=2, secB=-5/3 , where pi lt A lt (3pi)/(2) , pi/2 lt B lt pi , then i) Find the value of tan(A+B) , ii) find the quadrant in which (A+B) terminates.

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

Show that : x- x^3/6 lt sinx for 0 lt x lt pi/2

If 0 lt x lt pi and cos x + sin x = 1/2 , then tan x is