If `x_1+x_2=pi/2` and`x_2+x_3=x_1` , then `tanx_1 = tanx_2 + lambdatanx_3` where `lambda` is equal to

tanx + tan2x + tan3x = tanx tan2x tan3x

For 0

For 0

If x_(1),x_(2) in (0,(pi)/(2)) , then (tan_(x_(2)))/(tanx_(1)) is (where x_(1)lt x_(2) )

If x_(1),x_(2) in (0,(pi)/(2)) , then (tan_(x_(2)))/(tanx_(1)) is (where x_(1)lt x_(2) )

If x_(1),x_(2) in (0,(pi)/(2)) , then (tan_(x_(2)))/(tanx_(1)) is (where x_(1)lt x_(2) )

If the value of lim_(xrarr(pi)/(6))(cos(x+(pi)/(3)))/((1-sqrt3tanx)) is equal to lambda , then the value of 120lambda^(2) is equal to

If the value of lim_(xrarr(pi)/(6))(cos(x+(pi)/(3)))/((1-sqrt3tanx)) is equal to lambda , then the value of 120lambda^(2) is equal to

Show that 2 sin x + tanx ge 3x , where 0 le x lt (pi)/(2)