Given that sin a/sin b = p and cos a/cos b = q, express tan a and cot a in terms of p and q. (a and b are acute angles). I have no idea where to start on this one. I've tried a few things but always get stuck.
Thanks much.
Given that sin a/sin b = p and cos a/cos b = q, express tan a and cot a in terms of p and q. (a and b are acute angles). I have no idea where to start on this one. I've tried a few things but always get stuck.
Thanks much.
Here's a big start:
.... (1)
.... (2)
Square both equations and add:
.... (3)
Substitute the identity into equation (3) and solve for and hence .