Question

How do you prove `sin x csc (pi/2 - x)= tan x`?

Answer 1

Left Hand Side-> `=sinx xx 1/sin(pi/2 -x)`

`=sin x /(sin ( pi/2)cosx-cos(pi/2)sinx)`

`=sinx/(1xxcosx-0xxsinx)`

`=sinx/cosx`

`=tan x`

`=`Right Hand Side