Sum and Difference Formulas

Which 2 measures?

100

What measures would you use to solve sin(90)?

What is sin(60+30)

200

Which measures would you use to solve cos(75)?

What is cos(45+30)

300

Which measures would you use to solve sin(pi/12)?

What is sin(pi/4-pi/6) or sin(pi/3-pi/4).

400

Which measures would you use to solve sin(285)?

What is sin(330-45).

500

Which measures would you use to solve cos(165)?

What is cos(135+30).

Write the Expression As...

100

Condense sin140cos50-cos140sin50

What is sin(90).

200

Condense cos25cos15-sin25sin15

What is cos(40)

300

Condense (tan25+tan10)/(1-tan25tan10)

What is tan(35)

400

condense (tan68-tan115)/(1+tan68tan115)

What is tan(-47)

500

Simplify sin(pi/4)cos(3pi/2)+cos(pi/4)sin(3pi/2)

What is -sqrt2/2

Factor:

100

Factor: 2cos²x+sqrt3cosx = 0 

What is cosx(2cosx + sqrt3) = 0

200

Factor: cosx - 2sinxcosx = 0

cosx(1-2sinx) = 0

300

Factor: sin²x - sinx - 2 = 0 

(sinx+1)(sinx-2) = 0

400

Factor: 2cos²x + 3cosx +1 = 0

(2cosx+1)(cosx+1) = 0

500

Factor: -2sin²x - cosx + 1 = 0

Hint: Rewrite!

(2cosx+1)(cosx-1) = 0

What is the Identity?

100

1/tan(x) = 

cot(x)

200

sin²x =

1- cos²x

300

tan²(x) =

sec²(x) - 1

400

(tan(a) + tan(b))/(1-tan(a)tan(b) = 

tan(a+b)

500

sin(pi/2-x) =

sin(pi/2)cos(x) - cos(pi/2)sin(x)

Solve on Unit Circle

100

cos(60)

1/2

200

tan(pi/4)

1

300

sin(5pi/6)

1/2

400

cos(5pi/6)

-sqrt(3)/2

500

tan(5pi/6)

-sqrt(3)/3