Question

What's the domain of this function:
ln(sinx)^2

I'm not know much relatively to trigonometric functions. =P

Answer 1

senx? sin x? sec x?

Answer 2

sinx

Answer 3

Ok, so when doing these you have to consider any domain restriction on sin, and any domain restriction on ln. Is there anywhere that sine is undefined? Anywhere the natural log is undefined?

Answer 4

sine has no restrictions, it goes on forever. It's defined everywhere, but what about ln (the natural log) ?

Answer 5

Ln is defined in (0,infinity)

Answer 6

Right, so not including 0, and not including any negative numbers. Where is sine negative or 0?

Answer 7

Pi to 2pi

Answer 8

N times

Answer 9

Right, including both pi and 2pi. So the domain is everything except that.

Answer 10

thanks!!