To learn how to solve polynomial inequalities, try here
The first one is already factored, so it's halfway done. For the second one, the first step would be to factor the quadratic.
To learn how to solve trig equations, try here
A good first step would be to move the sine to the left-hand side, apply the double-angle identity
to the first sine, and then factor. Then sovle each factor.
To learn how to solve log equations, try here
A good first step would be to use log rules
to combine the terms on the left-hand side. Then covert to the exponential form, and solve the rational equation you get out.
If you get stuck, please write back showing how far you've gotten. Thanks!