Trigonometry
By DarthVader
Date: 2022-01-27
Topic: 92 see comments
Post views: 1247
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Pythagoras Theorum:
a2 + b2 = c2
Sine rule:
a/sin A = b/sin B = c/sine C
Cosine rule:
a2 = b2 + c2 - 2bc cos A
b2 = c2 + a2 - 2ca cos B
c2 = a2 + b2 - 2ab cos C
Tangent As A Function Of Sine And Cosine:
tan θ = sin θ / cos θ
The Pathagorean Identity:
sin2 θ + cos2 θ = 1
Compound Angle Identities:
Proof: Video Link
sin(A + B) = sin A ∙ cos B + cos A ∙ sin B
sin(A − B) = sin A ∙ cos B − cos A sin B
cos(A + B) = cos A ∙ cos B − sin A sin B
cos( A − B) = cos A ∙ cos B + sin A sin B
tan(A + B) = (tan A + tan B) / (1 − tan A ∙ tan B)
tan(A − B) = (tan A − tan B) / (1 + tan A ∙ tan B)
All internal angles in a triangle add up to 180°
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