Unit 9 Jeopardy

Identities

100

What is the reciprocal of cosx?

1/Secx

200

Is Cos(-x) even or odd?

Even

300

What is the quotient identity of Cotx?

Cosx/Sinx

400

What does 1 - Sin²x equal?

Cos²x

500

Solve Sin²x + 1 - Cos²x.

2/Csc²x

Inverse Trig

100

Where is sin-1(1/2)?

pi/6

200

Where is cos-1(root2/2)?

pi/4

300

Where is sin-1(-root2/2)?

-pi/4

400

Where is cos-1(-1/2)?

2pi/3

500

Where is tan-1(-root3/3)?

-pi/6

Double Angle Formulas

100

What is Cos2o?

7/25

200

What is Sin2o?

24/25

300

What is Cos2a?

-119/169

400

What is Sin2a?

120/169

500

What is tan2o?

24/7

Sum and Difference Formulas

100

How do you solve tan (a-B)?

tana - tanB / 1 - tanatanB

200

What is cos(60-30)?

√3/2

300

What is cos (pi/3+pi/4)?

(√2-√6)/6

400

What is tan (pi/4-pi/6)?

-2+√3

500

What is sin(75)?

(√2+√6)/2

Trig Equations

100

Solve the equation. (general solutions)

5cosx=3cosx+(root3)

200

sinxcosx=sinx, [0,2pi)

x={0,pi}

300

3cosx-2=5cosx-1

x={2pi/3 + 2pik, 4pi/3 + 2pik}

400

cos(^2)x-2sinx-2=0, [0,2pi)

x={3pi/2}

500

sin2x=(root2/2), {0,2pi)

x={pi/8, 3pi/8, 9pi/8, 11pi/8}