If the coordinates of any two points ₁ and 2₂ are (x₁, y₁) and (x2, y2), respectively, then prove that 00₁ 00₂ cos(4Q₁00₂2)=x₁x₂ +y₁2, where O is the origin.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.5: Product-to-sum And Sum-to-product Formulas
Problem 38E
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If the coordinates of any two points ₁ and 2₂ are
(x₁, y₁) and (x2, y2), respectively, then prove that
00₁ 00₂ cos(2Q₁00₂) = x₁x₂ +y₁2, where O is the origin.
Transcribed Image Text:If the coordinates of any two points ₁ and 2₂ are (x₁, y₁) and (x2, y2), respectively, then prove that 00₁ 00₂ cos(2Q₁00₂) = x₁x₂ +y₁2, where O is the origin.
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