M2 Jeopardy Competition

Exact Values

100

It is the exact value of cos(-pi)

-1

200

It is the exact value of sin(5pi/3)

-root3/2

300

It is the exact value of sec(3pi/2)

undefined

400

It is the exact value of cot(19pi/6)

root3

500

It is the exact value of csc(-570º)

2

Evaluations

100

If a=135º, find cos² a

1/2

200

If a=5pi/6, find cos(2a)

1/2

300

If a=120º, find 2sin(a)

root3

400

If a=300º, find tan(a/2)

(-root3)/3

500

If a=11pi/3, find cot(-a)

(root3)/3

Finding points & Trig ratios

100

Terminal point of a in unit circle is (-8/17 , 15/17). Find sec(a)

-17/8

200

Terminal point of a in unit circle is (2/7 , (-3root5)/7). Find cot(a)

(-2root5)/15

300

(x , (-root19)/5) is in Q III in the unit circle. Find x

(-root6)/5

400

(-8/17 , y) is in Q II in the unit circle. Find y

15/17

500

(-24/25 , y) is in QIII in the unit circle. Find y

-7/25

Quadrants & Trig ratios

100

Determine the quadrant of the angle a if sin(a) is positive and tan(a) is negative.

I

200

Determine the quadrant of the angle a if cot(a) is positive and sin(a) is negative.

III

300

a is in QIV such that csc(a)=-5/3. Find tan(a)

-3/4

400

a is in QI such that cos(a)=5/8. Find csc(a)

(8root39)/39

500

a is an angle such that sec(a)=-17/8 and cot(a) is positive. Find csc(a)

-17/15

General Knowledge

100

It is the number of bones in an adult's body.

206

200

It is the name chosen by the recent Pope of the Catholic Church.

Leo XIV

300

It is the most expensive natural metal in the world.

Rhodium

400

A mythical age at which various celebrities such as Kurt Cobain and Amy Winehouse have died, known as the ? Club...

27

500

It is the number of faces that a rhombic dodecahedron has, also known as an Archimedean solid.

62