Answer
The six trigonometric functions in terms of a right triangle are as follows:
sinΘ = $opposite/hypotenuse$
cosΘ = $adjacent/hypotenuse$
tanΘ = $opposite/adjacent$
cscΘ = $hypotenuse/opposite$
secΘ = $hypotenuse/adjacent$
cotΘ = $adjacent/opposite$
Work Step by Step
The trig functions sinΘ, cosΘ, and tanΘ are reciprocals of cscΘ, secΘ, and cotΘ respectively.
The terms opposite, hypotenuse, and adjacent are defined as:
opposite - The side of the triangle opposite from the theta symbol (Θ).
adjacent - The side of the triangle next to the theta symbol (Θ).
hypotenuse - The side of the triangle opposite of the right angle.
