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