Trig Equations

[shinobix3]

Can someone show me how to solve the following::

1. tan x sin x - sin x = 0 0 < x < 180 degrees
2. -tan(x + 45) = sqrt(3) 0 < x < 360 degrees
3. what is the maximum and minimum values of 1/(cos x -2)

This stuff is pretty new to me, we just learned the basics and I'm hit with these questions already lol, thanks in advance!

 

[tkhunny]

1. tan x sin x - sin x = 0 0 < x < 180 degrees

Factor

[tan(x) - 1]sin(x) = 0

Where is sin(x) = 0?

Where is tan(x) = 1?