6.1-6.8

Question 0

Where does the negative inverse sine land?

Answer 0

4th quadrant

Question 1

Where does the positive inverse sine land?

Answer 1

1st quadrant

Question 2

Where does the positive inverse cosine land?

Answer 2

1st quadrant

Question 3

Where does the negative inverse cosine land?

Answer 3

2nd quadrant

Question 4

Where does the positive inverse tangent land?

Answer 4

1st quadrant

Question 5

Where does the negative inverse tangent land?

Answer 5

4th quadrant

Question 6

What are the domain and range for inverse sine

Answer 6

Domain: -1 < or = x < or = 1

Range -pi/2 < or = y < or = pi/2

Question 7

What is the domain and range of inverse cosine?

Answer 7

Domain: -1 < or = x < or = 1
Range: 0 < or = y < or = pi

Question 8

What is the domain and range of inverse tangent?

Answer 8

Domain: - infinity < x < infinity
Range: -pi/2 < y < pi/2

Question 9

Where does positive inverse cotangent land?

Answer 9

1st quadrant

Question 10

Where does negative inverse cotangent land?

Answer 10

2nd quadrant

Question 11

Cos(a+b)=….

Answer 11

CosACosB-SinASinB

Question 12

Cos(a-b)=…

Answer 12

CosACosB+SinASinB

Question 13

Sin(a+b)=…

Answer 13

SinACosB+CosASinB

Question 14

Sin(a-b)=…

Answer 14

SinACosB-CosASinB

Question 15

Tan(a-b)=…

Answer 15

(TanA+TanB)/1-TanATanB

Question 16

Tan(a-b)=…

Answer 16

(TanA-TanB)/1+TanATanB

Question 17

Sin(2@)=…

Answer 17

2sin@cos@

Question 18

Cos(2@)=….

3 possibilities

Answer 18

Cos^2@-Sin^2@

1-2sin^2@

2cos^2@-1

Question 19

Tan(2@)=…

Answer 19

(2tan@)/(1-tan^2@)

Question 20

Sin (a/2)=…

Answer 20

+ - square root of (1-CosA)/2

Question 21

Cos(a/2)=…

Answer 21

+ - square root of (1+ CosA)/2

Question 22

Tan (a/2)

Answer 22

(1-CosA)/sinA 
Or 
SinA/(1+CosA)
Or
\+ - the square root of (1-CosA)/(1+CosA)

Question 23

Cos(-x) becomes

Answer 23

Cosx

Question 24

Sec(-x) becomes

Answer 24

Sec(x)

Question 25

Sin(-x)
Csc(-x)
Tan(-x)
Cot(-x) 
Each become

Answer 25

• sinx
• cscx
• tanx
• cotx