Trig Review!

Unit Circle

100

sin(pi/6)

What is 1/2

200

cos(4pi/3)

What is -1/2?

300

tan(pi/2)

What is undefined?

400

cot(7pi/6)

What is sqrt(3)/3?

500

csc(0)

What is undefined?

Inverse Trig

100

arcsin(0)

What is 0?

200

arccos(-sqrt(3)/2))

What is 5pi/6?
What is 150?

300

arctan(-1)

What is -pi/4?
What is -45?

400

arctan(-sqrt(3))

What is -pi/3?
What is -60?

500

arcsec(-2)

What is 2pi/3?
What is 120?

Identities

100

tan(u) = 

** Quotient Identity **

What is sin(u) / cos(u)?

200

csc(a) =

What is 1 / sin(a)?

300

sec²(x) = 

** Pythagorean Identity **

What is 1 + tan²(x)?

400

-sin²(v) =

** Pythagorean Identity **

What is cos²(v) - 1?

500

Tricky One!

tan(90 - u) = 

What is cot(u)?

Sum or Difference

100

Write the following in terms of 2 unit circle angles:
sin(165)

Possible:
What is sin(135 + 30)?
What is sin(120 + 45)?

200

Which formula is this:
sin(u)cos(v) + cos(u)sin(v)

What is sin(u + v)?

300

What formula is this?

cos(u)cos(v) - sin(u)sin(v)

What is cos(u + v)?

400

Find the exact value of the following:

sin(pi/4)cos(pi/2) + cos(pi/4)sin(pi/2)

What is sqrt(2) / 2?

500

Find the exact value of the following:

tan(pi/4) - tan(pi/3)

-----------------------

1 + tan(pi/4)tan(pi/3)

What is (1 - sqrt(3)) / (1 + sqrt(3))?

Algebra

100

The range of f(x) = sqrt(x) - 2 in interval notation.

What is [-2 , inf)?

200

The x-intercept(s) of 2x² - 4x + 2.

What is (1,0)?

300

The inverse function of sqrt(3x - 2).

What is (1/3)(x² + 2) for all x >= 0?

400

The solution(s) of 4|x-2| = 12

What are x=5 and x=-1?

500

The simplified expression for log₆24 + 2log₆3

What is 3?