Question

Stuck on this math question

Answer 1

Answer:

SinA = √5/3

CosB = √5/3

Step-by-step explanation:

First let us find the value of a. This is illustrated below:

a^2 = 6^2 — 4^2

a^2 = 36 — 16

a^2 = 20

Take the square root of both side

a = √20 = √(4 x 5) = √4 x √5

a = 2√5

From the diagram,

For sinA

Opp = 2√5

Hypo = 6

Adj = 4

SinA = opp /Hypo

SinA = 2√5/6

SinA = √5/3

For CosB

Opp = 4

Hypo = 6

Adj = 2√5

CosB = Adj /Hypo

CosB = 2√5/6

CosB = √5/3