BC Flash Cards - Calculus: Trigonometric Values & Natural Log Properties

A set of practice flashcards covering standard trig values for common angles and key natural-log properties suitable for Calculus review.

What is \sin(0)?

0

What is \cos(0)?

1

What is \tan(0)?

0

What is \csc(0)?

Undefined (not defined)

What is \sec(0)?

1

What is \cot(0)?

Undefined

What is \sin(\pi/6)?

1/2

What is \cos(\pi/6)?

\sqrt{3}/2

What is \tan(\pi/6)?

\sqrt{3}/3 (or 1/\sqrt{3})

What is \csc(\pi/6)?

2

What is \sec(\pi/6)?

2\sqrt{3}/3

What is \cot(\pi/6)?

\sqrt{3}

What is \sin(\pi/4)?

\sqrt{2}/2

What is \cos(\pi/4)?

\sqrt{2}/2

What is \tan(\pi/4)?

1

What is \csc(\pi/4)?

\sqrt{2}

What is \sec(\pi/4)?

\sqrt{2}

What is \cot(\pi/4)?

1

What is \sin(\pi/3)?

\sqrt{3}/2

What is \cos(\pi/3)?

1/2

What is \tan(\pi/3)?

\sqrt{3}

What is \csc(\pi/3)?

2\sqrt{3}/3

What is \sec(\pi/3)?

2

What is \cot(\pi/3)?

\sqrt{3}/3

What is \sin(\pi/2)?

1

What is \cos(\pi/2)?

0

What is \tan(\pi/2)?

Undefined

What is \csc(\pi/2)?

1

What is \sec(\pi/2)?

Undefined

What is \cot(\pi/2)?

0

What is the domain of y = \ln x?

x > 0

What is the range of y = \ln x?

All real numbers

Is y = \ln x continuous and increasing on its domain?

Yes, it is continuous and increasing on its domain.

What is \ln(ab)?

\ln a + \ln b

What is \ln(a/b)?

\ln a - \ln b

What is \ln(a^b)?

b \ln a

\ln x < 0 for which x?

0 < x < 1

What is \lim_{x\to 0^+} \ln x?

-\infty

What is \lim_{x\to \infty} \ln x?

+\infty

What is \log_a x in terms of natural logs?

\log_a x = (\ln x) / (\ln a)