trig

Question 1

alternate interior angles (z shape)

Answer 1

are equal

Question 2

corresponding angles (F shape)

Answer 2

are equal

Question 3

co interior angles add up to (boxy C shape)

Answer 3

180

Question 4

sum of angles on a straight line add up to

Answer 4

180

Question 5

sum of angles around a point

Answer 5

360

Question 6

sum of angles in a triangle

Answer 6

180

Question 7

vertically opposite angles are

Answer 7

the same size

Question 8

cos (theta)

Answer 8

adj / hyp

Question 9

sin (theta)

Answer 9

opp / hyp

Question 10

tan (theta)

Answer 10

opp/ adj

Question 11

which are the opp, hyp ,and adj

Answer 11

hyp - hypotenuse
adj - next to theta
opp - opposite theta

Question 12

cosine rule angles

Answer 12

cos ^-1 = a^2 + b^2 - c^2 / 2ab

Question 13

cosine rule sides

Answer 13

c^2 = a^2 + b^2 - 2ab cos(c)

Question 14

sin rule sides

Answer 14

a / sin(A) = b / sin(B) = c/sin(C)

Question 15

sin rule angles

Answer 15

sin(A)/a = sin(B)/b = sin(C)/c

Question 16

area formula

Answer 16

1/2 ab sin(c)
c = angle
ab = sides surrounding angle

Question 17

how to find theta

Answer 17

cos ^-1 (adj / hyp)
sin^-1 (opp/hyp)
tan^-1 (opp/adj)

Question 18

bearings

Answer 18

start from north and go down clockwise

bearing of b from a = angle of a

Question 19

arc

Answer 19

(theta / 180) 3.14 r
cursive L

Question 20

area of sector

Answer 20

(theta /360) 3.14 r^2

Question 21

segment

Answer 21

find area of sector then subtract area of triangle
1/2 r x r sin(theta)