# 2Cos Θ - √3, find all solutions

by Zachary
(CA, USA)

Find all solutions of the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.)

### Comments for 2Cos Θ - √3, find all solutions

 May 05, 2012 Solve for Θ by: Staff Question: by Zachary (Campbell CA, USA) Find all solutions of the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) Answer: 2Cos Θ - √3 = 0 2Cos Θ - √3 + √3 = 0 + √3 2Cos Θ + 0 = 0 + √3 2Cos Θ = √3 2(Cos Θ) / 2 = (√3) / 2 (Cos Θ) * (2 / 2) = (√3) / 2 (Cos Θ) * (1) = (√3) / 2 Cos Θ = (√3) / 2 Θ = Cos⁻¹[(√3) / 2] Θ = 30°, or π/6 radians Or Θ = 330°, or 11π/6 radians >>> the final answer (exact value) is: Θ = 30°, or π/6 radians Or Θ = 330°, or 11π/6 radians >>> the final answer (approximate value) is: Θ ≈ 0.52 radians Or Θ ≈ 5.76 radians Thanks for writing. Staff www.solving-math-problems.com
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