Home › Mathematics › If Cos(θ)=165, Find Cos(θ/2)?
I have to use the Half Angle Identities to solve this.
-Anonymous
no matter what Θ is, -1 ≤ cos(Θ) ≤ 1, so what you wrote is impossible. Is it that Θ = 165° ?
165 is half of 330, and cos 330° = ½√3.
so the formula is
cos(½Θ) = ±√[ ½(1 + cos(Θ))]
cos(165°) = ±√[ ½( 1 + ½√3)] ∙ ∙ ∙ ∙ ∙ ∙ ∙ since 330 is in q4 and 165 is in q2, signs opposite
cos(165°) = -√( ½ + ¼√3)
-Anonymous
165 is half of 330, and cos 330° = ½√3.
so the formula is
cos(½Θ) = ±√[ ½(1 + cos(Θ))]
cos(165°) = ±√[ ½( 1 + ½√3)] ∙ ∙ ∙ ∙ ∙ ∙ ∙ since 330 is in q4 and 165 is in q2, signs opposite
cos(165°) = -√( ½ + ¼√3)
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