6 Trig Functions
Reference Angle
Exact Value
Trick Questions
100

sec theta >0, sin theta <0

What quadrant(s) satisfies both conditions?


IV

100

What is the reference angle of 20 

20

100

What is the exact value at sin = 30

1/2

100

If there are eight oranges in a bag and you take away two, how many do you have?

2

200

cot theta >0, tan theta <0

What quadrant(s) satisfies both conditions?

III and I

200

What is the reference angle of 350

10

200

Find the exact value at cos-45

(sqrt2)/2

200

What is the answer to this question?

What

300

At the plotted points (6,0), what is the exact value at sin

0

300

What is the reference angle of -210

30

300

what is the exact value of cot 660

-(sqrt3)/3

300

You have two coins that equal 30 cents, and one of them is not a quarter. Which coins do you have?

A quarter and a nickel (the nickel is the one that isn’t a quarter)

400

At 

tan theta = 7/6


in quadrant III, What is sec

-(sqrt85)/6

400

What is the reference angle of -346

14

400

What is the exact value of sec-225

-sqrt2

400

If Mrs. Smith’s rooster lays an egg in Mr. Brown’s yard, who owns the egg?

No one; roosters don’t lay eggs

500

At 

sec theta = -sqrt2


in quadrant II, What is cos

- (sqrt2)/2

500

What is the reference angle of -159

21

500

What is the exact value of sec 510

-(2sqrt3)/3

500

What’s something that always wants an answer but doesn’t have a question?

A phone

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