Q2 - Review for 2nd Unit Test

Front

What is the domain of the function \( \tan(x) \)?

Back

The domain of \( \tan(x) \) is \( \mathbb{R} \) except for \( x = \frac{\pi}{2} + n\pi \) where \( n \) is any integer.

Front

What is the range of the function \( \sin(x) \)?

Back

The range of \( \sin(x) \) is \( [-1, 1] \).

Front

What is the range of the function \( \sec(x) \)?

Back

The range of \( \sec(x) \) is \( (-\infty, -1] \cup [1, \infty) \).

Front

What is the domain of the function \( \csc(x) \)?

Back

The domain of \( \csc(x) \) is \( \mathbb{R} \) except for \( x = n\pi \) where \( n \) is any integer.

Front

What is the range of the function \( \cos(x) \)?

Back

The range of \( \cos(x) \) is \( [-1, 1] \).

Front

What is the domain of the function \( \sin(x) \)?

Back

The domain of \( \sin(x) \) is \( \mathbb{R} \).

Front

What is the range of the function \( \tan(x) \)?

Back

The range of \( \tan(x) \) is \( \mathbb{R} \).

Front

What is the graph of \( \sin(x) \) characterized by?

Back

The graph of \( \sin(x) \) is a wave that oscillates between -1 and 1 with a period of \( 2\pi \).

Front

What is the graph of \( \cos(x) \) characterized by?

Back

The graph of \( \cos(x) \) is a wave that oscillates between -1 and 1 with a period of \( 2\pi \).

Front

What is the graph of \( \tan(x) \) characterized by?

Back

The graph of \( \tan(x) \) has vertical asymptotes at \( x = \frac{\pi}{2} + n\pi \) and oscillates between -\infty and +\infty.