Chapter 8-- Right Triangles and Trig

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Trig

Right Triangles

Pythagorean's Theorem and Its Converse

Sine

Tangent

Cosine

Inverse of Cos

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8-4 Cosine ration : adjacent/hypotenuse

soh-cah-toa

8 - 3 Tangent ration : Opposite over adjacent

inverse of sine

8 - 4 Sine ration : opposite/hypotenuse

Pythagorean's Theorem

1 angle is 90 degrees

A^2 + B^2 = C^2

Use Pythagorean theorem to solve for third side

angles=180 degrees

inverse of tan

A = 0.5(bh)

Converse of Pythagorean's Theorem

Right Triangle Trig

Angles

All three angles = 180 degrees

8-5 Angles of Elavation

Obtuse

From eye level to object

Angle that is above eye level

8-5 Angles of Depression

From eye level to object

Angle below eye level

Acute

8 - 2 Special Triangles

45 - 45 - 90 Tri.

30 - 60 - 90 Tri.

C^2 > A^2 + B^2

c^2<a^2+b^2

30 - 60 - 90 triangle is half of an equilateral Tri.

Obtuse: <90 degrees

Acute: > 90 degrees

legs of the triangle are congruent

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8-6 Vectors

any quantity with magnitude and direction

in a right triangle, the other two angles must be acute

the other 2 angles add up to 90 degrees

Sine = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tan = opposite/adjacent