Categorías: Todo - functions - angles - trigonometry - formulas

por rawan barazi hace 1 año

62

The 6 Trig functions

In the context of right triangles, six trigonometric functions are essential for determining the relationships between the angles and the lengths of the sides. The adjacent side is always next to the angle θ, while the opposite side is directly across from θ.

The 6 Trig functions

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