Question

Given right scalene AGHI with right angle H, which of the following trigonometric relationships must be true? Select all that apply.

Answer 1

Answer : Sin G = Cos I: Tan G is a reciprocal of Tan I

For < G

HI = opposite

GI = Hypotenus

GH = adjacent

Sin G = opposite / Hypotenus

SinG = HI / GI

Sin G = HI/GI

Cos I = adjacent / hypotenus

Cos I = HI / GI

Therefore, Sin G = Cos I

Tan G = HI / GH

Tan I = GH/HI

Therefore, Tan G is a reciprocal of Tan I