Trig Review SinCosTan etc

[paulxzt]

Ah, i forgot how to start with these type of problems, any help would be appreciated:

Simplify:
cot(-)
-------
csc(-)

Find all (-) in the interval [0,2pi) that satisfy the equation:

2cos(-)tan(-) + tan(-) = 0

 

[galactus]

For the first, use the identities:

\(\displaystyle csc(x)=\frac{1}{sin(x)}\;\ and\;\ cot(x)=\frac{1}{tan(x)}\)

For the second, start by factoring:

\(\displaystyle tan(x)(2cos(x)+1)=0\)