Week 2 Review

Trig Functions

100

What are:

sec(x)

csc(x)

and 

cot(x)?

sec(x) = 1 / cos(x)

csc(x) = 1 / sin(x)

cot(x) = 1 / tan(x)

200

What is sin(pi/4)?

sqrt(2) / 2

300

What is tan(5pi/6)?

-1/sqrt(3)

400

What is cot(3pi/2)?

0

500

What is csc(pi)?

DNE (1/0)

Angle Conversions

100

Convert 180 degrees to radians

pi

200

Convert pi/2 radians to degrees

90

300

Convert 3pi/4 radians to degrees

135 degrees

400

Convert 100 degrees to radians (round answer to 3 decimal places)

1.745 rads

500

Convert 4pi radians to degrees

720

Exponents

100

What is x^a * x^b?

x^a+b

200

What is 1 / x^a?

x^-a

300

What is x⁰?

1

400

What is (xy)^a?

x^ay^b

500

What is x^a/b?

See tutor solution

Logarithms

100

What is 

log_b(x/y)?

log_b(x) - log_b(y)

200

What is log_b(x^r)?

r*log_b(x)

300

What is log_bx + log_by?

log_b(xy)

400

What is ln(e^x)?

x, for all real x

500

What is e^ln(x)?

x, x>0

Practice

100

How can you rewrite 2^2/3?

See tutor solution

200

How can you rewrite log₁₀(100) + log₁₀(1000)? Don't solve, just rewrite.

log₁₀(100000)

300

Solve log₁₀(100000) = x

x = 5

400

Solve log₂(8/32) by hand.

-2

500

Solve log₃(x) = 9

19683