March 8 G9

Trig

100

Give the domain and range of arccos(x)

Give the domain and range of arccos(x)

Domain: [-1, 1]

Range: [0, Pi]

200

In which quadrants does arcsin(x) have outputs?

In which quadrants does arcsin(x) have outputs?

Quadrants I and IV

300

What transformation needs to be done on cos(x) to map it on to sin(x)?

What transformation needs to be done on cos(x) to map it on to sin(x)?

horizontal shift of Pi/2:

sin(x) = cos(x - Pi/2)

400

Give the domain and range of tan(x) and arctan(x)

Give the domain and range of tan(x) and arctan(x)

tan(x): D (x!=Pi/2 + nPi) R (all real numbers)

arctan(x): D (all real numbers) R (-Pi/2, Pi/2)

Probability

300

1) What is the formula for Bayes' Theorem?

2) Explain what it means.

1) What is the formula for Bayes' Theorem?

P(A|B) = P(A)*P(B|A) / P(B)

2) Explain what it means.

The probability of Event A given that Event B is true.

Random

200

Hangman: Chinese city

_ _ _ _ _ _ _ _ _

CHANGCHUN

300

Hangman: British city

_ _ _ _ _ _ _ _ _

LIVERPOOL

400

What's the most populous country in Africa?

What's the most populous country in Africa?

Nigeria

500

There are 50 US states. Name the first one and the last one.

There are 50 US states. Name the first one and the last one.

1st: Delaware

50th: Hawaii