Question

Given sin

=
=
V23 and tan o
find cos 0.
23
11 )
12
?
COS 0 =
TO

Answer 1

Answer:
`(11)/(12)`

Explanation:

Use trigonometry (shown in image below) to find the 3 side-lengths:

• The side opposite of θ =
  `√(23)`
• The base side adjacent to θ = 11
• The hypotenuse = 12

According to right triangle trigonometry:

cos θ =
`(adjacent)/(hypotenuse)`

Substitute in the values:

cos θ =
`(11)/(12)`