Chapter 5 & 6 Skills

Question 1

What is the exact value of sin(pi/4)?

Answer 1

(2^1/2)/2

Question 2

What is the exact value of sin(pi/6)?

Answer 2

1/2

Question 3

What is the exact value of sin(pi/3)?

Answer 3

(3^1/2)/2

Question 4

What is the exact value of sin(pi/2)?

Answer 4

1

Question 5

What is the exact value of cos(pi/3)?

Answer 5

1/2

Question 6

What is the exact value of cos(pi/6)?

Answer 6

(3^1/2)/2

Question 7

What is the exact value of cos(pi/4)?

Answer 7

(2^1/2)/2

Question 8

What is the exact value of cos(0)?

Answer 8

1

Question 9

What is the exact value of sin(0)?

Answer 9

0

Question 10

What is the exact value of cos(pi/2)?

Answer 10

0

Question 11

What is the exact value of tan(0)?

Answer 11

0

Question 12

What is the exact value of tan(pi/6)?

Answer 12

1/(3^1/2)

Question 13

What is the exact value of tan(pi/4)?

Answer 13

1

Question 14

What is the exact value of tan(pi/3)?

Answer 14

(3^1/2)

Question 15

What is the exact value of tan(pi/2)?

Answer 15

infinity

Question 16

What is sin^-1(0)

Answer 16

0

Question 17

What is sin^-1(1/2)

Answer 17

pi/6

Question 18

What is sin^-1((2^1/2)/2)

Answer 18

pi/4

Question 19

What is sin^-1((3^1/2)/2)

Answer 19

pi/3

Question 20

What is sin^-1(1)

Answer 20

pi/2

Question 21

What is cos^-1(0)

Answer 21

pi/2

Question 22

What is cos^-1(1/2)

Answer 22

pi/3

Question 23

What is cos^-1((2^1/2)/2)

Answer 23

pi/4

Question 24

What is cos^-1((3^1/2)/2)

Answer 24

pi/6

Question 25

What is cos^-1(1)

Answer 25

0

Question 26

What is tan^-1(0)

Answer 26

0

Question 27

What is tan^-1(1/(3^1/2))

Answer 27

pi/6

Question 28

What is tan^-1(1)

Answer 28

pi/4

Question 29

What is tan^-1((3^1/2))

Answer 29

pi/3

Question 30

What is tan^-1(infinity)

Answer 30

pi/2

Question 31

What is the reference angle of tan(4pi/3)

Answer 31

pi/3

Question 32

What is the reference angle of sin(2pi/3)

Answer 32

pi/3

Question 33

What is the reference angle of cos(11pi/6)

Answer 33

pi/6

Question 34

Sine General Solution

Answer 34

x = n(pi) + (-1)^n * sin^-1(a) N is an element of Z

Question 35

Tan General Solution

Answer 35

x = n(pi) + tan^-1(a) N is an element of Z

Question 36

Cosine General Solution

Answer 36

x = 2n(pi) +-(plus or minus) cos^-1(a) N is an element of Z

Question 37

Exponential Laws

Answer 37

z^a * z^b = z^(a+b) z^a / z^b = z^(a-b) (z^a)^b = z^(ab) z^-a = 1/ z^a

Question 38

Log Laws

Answer 38

log(a) + log(b) = log(ab) log(a) - log(b) = log(a/b) alog(b) = log(a^b) =log(b) = log(a^-1)