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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

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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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