Trigonometry

Question 1

how to find the secondary value of a sine graph

Answer 1

180 - PV

Question 2

how to find the secondary value of a cos graph

Answer 2

360 - PV

Question 3

how to find the secondary value of a tan graph

Answer 3

PV + 180

Question 4

what is an identity

Answer 4

an expression that is always true, for all values

Question 5

what are the two trig identities

Answer 5

both given on formula sheet

Question 6

how to find additional values of a sine graph

Answer 6

360 + PV

Question 7

how to find additional values of a cosine graph

Answer 7

360 - PV

Question 8

what is the range of y = cos(x) or y=sin(x)

Answer 8

-1 <=y<= 1

same for y = sin(x)

Question 9

what are some properties of a cos(x) graph

Answer 9

• period of 360*
• has an amplitude of 1
• has a line of symmetry in the y-axis

Question 10

where is a tan graph’s line of symmetry

Answer 10

it has rotational symmetry about the origin

Question 11

what does a triple equals sign mean

Answer 11

is identical to

Question 12

what is the Pythagorean identity

Answer 12

Question 13

how to do on a calculator

Answer 13

Question 14

exam tip

Answer 14

Question 15

Answer 15

Question 16

how to find additional values of tan

Answer 16

keep adding 180

Question 17

how to find additional values of a sine graph

Answer 17

360 + PV
then
360 + (180-PV)
and so on

Question 18

Bottom question

Answer 18

Question 19

Exam tip

Question 20

what is a unit square

Answer 20

a square with sides of 1 unit each

Question 21

how would you calculate sin(45), cos(45) or tan(45) in an exam

Answer 21

half a unit square

Question 22

How could you find sin cos and tab for angles 30 and 60 without a calculator

Answer 22

Using half an equilateral triangle of 2

Question 23

what is the exact value for sin(45)

Answer 23

square root 2 over 2

Question 24

what is the exact value of cos(45)

Answer 24

square root 2 over 2

Question 25

what is the exact value of tan(45)

Answer 25

1

Question 26

what is the exact value of sin(30)

Answer 26

1/2

Question 27

what is the exact value of sin(60)

Answer 27

square root 3 over 2

Question 28

what is the exact value of cos(30)

Answer 28

square root 3 over 2

Question 29

what is the exact value of cos(60)

Answer 29

1/2

Question 30

what is the exact value of tan(30)

Answer 30

square root 3 over 3

Question 31

what is the exact value of tan(60)

Answer 31

square root 3

Question 32

what is the ambiguous case of the sine rule

Answer 32

don’t really know but when using the sine rule the calculator will always give back the acute angle

if it asks for the obtuse, take the acute angle away from 180

Question 33