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Chapter 8-- Right Triangles and Trig - Coggle Diagram
Chapter 8-- Right Triangles and Trig
Angles
All three angles = 180 degrees
8-5 Angles of Elavation
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
Obtuse: <90 degrees
Acute: > 90 degrees
in a right triangle, the other two angles must be acute
8-6 Vectors
any quantity with magnitude and direction
Trig
Sine
inverse of sine
8 - 4 Sine ration : opposite/hypotenuse
Tangent
inverse of tan
8 - 3 Tangent ration : Opposite over adjacent
Cosine
Inverse of Cos
8-4 Cosine ration : adjacent/hypotenuse
soh-cah-toa
Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tan = opposite/adjacent
Right Triangles
1 angle is 90 degrees
the other 2 angles add up to 90 degrees
Use Pythagorean theorem to solve for third side
angles=180 degrees
A = 0.5(bh)
Right Triangle Trig
8 - 2 Special Triangles
45 - 45 - 90 Tri.
legs of the triangle are congruent
30 - 60 - 90 Tri.
30 - 60 - 90 triangle is half of an equilateral Tri.
Pythagorean's Theorem and Its Converse
Pythagorean's Theorem
A^2 + B^2 = C^2
Converse of Pythagorean's Theorem
Obtuse
C^2 > A^2 + B^2
Acute
c^2<a^2+b^2