Question

1. Given the triangle below, what is the value of sin 8
?
12
6
ก
65

Answer 1

2

Explanation:

bc

Answer 2

(2/5)√5

Explanation:

from the sine rule (see attached for reference), we can construct the following relationship

12/sinθ = (6√5) / sin 90°

recall that sin 90° = 1, hence our equation becomes:

12/sinθ = (6√5) / 1

12/sinθ = (6√5) (rearranging)

12 ÷ (6√5) = sin θ

sin θ = 12 / (6√5)

sin θ = 2 / √5 (moving radical to numerator by multiplying by √5/√5)

= 2 / √5 x √5/√5

= 2√5 / 5

= (2/5)√5