sine and cosine rule

Question 1

what is the sine rule when calculating a side length?

Answer 1

a = b = c

sinA sin B sin C

Question 2

what is the sine rule when calculating an angle size?

Answer 2

sinA = sinB = sinC

a b c

Question 3

what is the cosine rule when calculating a side length?

Answer 3

a² = b² + c² - 2bcCosA

Question 4

what is the cosine rule when calculating an angle size?

Answer 4

cosA = b² + c² - a²

2bc

Question 5

when do we use the sine rule?

Answer 5

if we have SAA (and we need to find a side) and if we have SSA (and we need to find an angle)

Question 6

when do we use the cosine rule?

Answer 6

if we have SSA (and we need to find a side) and if we have SSS (and we need to find an angle)

Question 7

what is the sine rule to calculate area?

Answer 7

1/2 x a x b x sinC

Question 8

what do we use to find the diagonal of a 3D shape?

Answer 8

d² = a² + b² + c²

where a b and c represent the length, height and depth of the 3d shape