Double & Half Jeopardy

Quadrants

100

What is the saying for ASTC? What does it stand for?

All Students Take Calculus

All Sin Tan Cos

200

Where is cos positive?

Quadrant 1 or 4

300

Where is sin positive?

Quadrant 1 or 2

400

Where is tan negative?

Quadrant 2 or 4

500

Where is sec negative?

Quadrant 2 or 3

Double Angle Identities

100

How many identity variations are there for cos(2X)?

What is 3

200

sin2θ=?

2sinθcosθ

300

2cos²X-1=

What is cos(2X)?

400

tan(2X)=

What is (2tanX)/1-tan²X?

500

Give an identity for cos2θ

cos²θ - sin²θ

1-2sin²θ

2cos²θ - 1

Half Angle Identities

100

Which half angle identity has more than one way to do it?

tanθ/2

200

cos(X/2)=

What is + or - √ (1+cosX/2)?

300

sin(X/2)=

What is + or - √ (1-cosX/2)?

400

tan(X/2)=

 + or - √ (1-cosX/1+cosX)

(1-cosx)/sinx

sinx/(1+cosx)

500

How do you determine the quadrant of θ/2?

Divide the original bounds by 2

Double Angle Problems

100

Find cos2θ if sinθ = 3/5 and 0<θ<90º

7/25

200

Find cos2θ if cosθ = 4/5 and 270º<θ<360º

7/25

300

Find sin2θ if cosθ = -1/2 and 180º<θ<270º

√3/2

400

Find cos2θ if tanθ = -4/3 and 90º<θ<180º

-7/25

500

Find tan2θ if cosθ = (3√5)/10 and 0<θ<90º

-3√11

Half Angle Problems

100

Find sinθ/2 if cosθ = 4/5 and 0<θ<90º

√10/10

200

Find cosθ/2 if sinθ = -3/5 and 270º<θ<360º

(-3√10)/10

300

Find sinθ/2 if cosθ = -24/25 and 90º<θ<180º

(7√2)/10

400

Find tanθ/2 if sinθ = 1/4 and 90º<θ<180º

4+√15

500

Find sinθ/2 if tanθ = -7/24 and 270º<θ<360º

√2/10