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