The 6 Trig functions

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The 6 Trig functions

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Tan

tangent = opposite/ adjacent

Tan = y/x

1 + tan^2θ = sec^2θ

Cos

cosine = adjacent / hypotenuse

Cos = x

Sin

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sine = opposite/ hypotenuse

sin = y

cos^2θ + sin^2θ = 1

Trig functions & Triangles

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

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

Your " opposite" side will always be opposite your θ

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

Cot

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cotangent = adjacent / opposite

Cot = x/y

1 + cot^2θ = csc^2θ

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Sec

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secant = hypotenuse / adjacent

Sec = 1/cos

1 + tan^2θ = sec^2θ

Csc

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cosecant = hypotenuse / opposite

Csc = 1/sin

1 + cot^2θ = csc^2θ