Question

Find the value of cos G rounded to the nearest hundredth.

Answer 1

Answer:

$\sf \cos(G)=\dfrac{1}{2}$

Step-by-step explanation:

Trigonometric ratios

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

• $\theta$ is the angle
• O is the side opposite the angle
• A is the side adjacent the angle
• H is the hypotenuse (the side opposite the right angle)

Given:

• $\theta$ = G
• A = GF = 2
• H = EG = 4

$\implies \sf \cos(G)=\dfrac{2}{4}=\dfrac{1}{2}$

Answer 2

• CosG=Base/Hypotenuse
• cosG=FG/EG
• cosG=2/4
• cosG=1/2
• cosG=cos60
• G=60°