Unit 9 - Trigonometry

Trig of any angle

2

What two quadrants can contain an angles that has a cos value of 1/2?

I and IV

2

What are the coordinates on the unit circle of the angle

(7\pi)/6

?

(-\sqrt3/2,-1/2)

3

What is the sin of an angle that contains an endpoint of (-8,15)?

15/17

3

What is the csc of an angle that contains an endpoint of (-1,-2)?

-\sqrt(5)/2

4

Find the remaining 5 trig functions of θ, given:

sin theta =5/13, pi/2<theta<pi

cos theta =-12/13, 

tan theta = -5/12, 

csc theta = 13/5,

 sec theta = -13/12,

 cot theta = -12/5

Exact Trig Valuespart 1

2

The point 

(-sqrt2/2, sqrt2/2)

is on the unit circle. Find cos θ.

cos theta = -sqrt2/2

2

The exact value of

tan(120^@)

What is

-sqrt3
?

3

Find the exact value of 

csc(390^o)

2

3

The exact value of

tan(-(13pi)/6)

What is

-sqrt3/3 ?

4

Find the exact value of:

2sin 45^o + 6cos 30^o

sqrt2+3sqrt3

Exact Trig Values part 2

2

The point 

(-sqrt3/2, -1/2)

is on the unit circle. Find sin θ.

sin theta = -1/2

2

Find the exact value of:

sec((7pi)/4)

\sqrt2

3

Find the exact value of: 

cos(990^o)

0

3

sec(-150^o)

Find the exact value of 

(2\sqrt3)/3

2/\sqrt3

4

Find the exact value of:

(sin 60^o) (tan 30^o)

(sqrt3/2)(sqrt3/3)=3/6=1/2

Signs of Trig

2

Where is tan(x)>0 and sin(x)<0

III

2

Where is cos(x)>0 and csc(x)<0

IV

3

Where is cot(x)<0 and csc(x)>0

II

3

Where is sec(x)>0 and [sin(x)]*[cos(x)]<0

IV

4

Where is (csc(x))(sec(x))>0 and cot(x)>0

III