Question

Right triangle EFG has it’s right angle at F, EG= 10, FG= 4.

What is the value of the trigonometric ratio of an angle of the triangle? Give your answer in exact radical form.

cos(E) = 2√21 / 10

tan(G) = ???

What is tan(G)

Answer 1

tan(G) = (√21)/2

Explanation:

Given right triangle EFG with right angle F and EG=10, FG=4, you want the tangent of angle G.

Tangent

The mnemonic SOH CAH TOA reminds you the tangent of an angle in a right triangle is ...

Tan = Opposite/Adjacent

Application

For angle G, this is ...

tan(G) = EF/FG

tan(G) = (2√21)/4

tan(G) = (√21)/2