The 6 Trig functions

Csc

Csc = 1/sin

1 + cot^2θ = csc^2θ

cosecant = hypotenuse / opposite

Sec

Sec = 1/cos

1 + tan^2θ = sec^2θ

secant = hypotenuse / adjacent

Cot

Cot = x/y

1 + cot^2θ = csc^2θ

cotangent = adjacent / opposite

Trig functions & Triangles

When looking at a right Triangle these 6 Trig functions can be used to identify the lengths of sides and angels.

When you have a right triangl, your largest side with be opposite of the right angle. We call this the Hypotenuse.

Your " opposite" side will always be opposite your θ

Your " adjacent" side will always be adjacent to your θ

Sin

sin = y

cos^2θ + sin^2θ = 1

sine = opposite/ hypotenuse

Cos

Cos = x

cos^2θ + sin^2θ = 1

cosine = adjacent / hypotenuse

Tan

Tan = y/x

1 + tan^2θ = sec^2θ

tangent = opposite/ adjacent