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How do you solve 2 cos(x) = sqrt(3)?

Question:

How do you solve 2 cos(x) = sqrt(3)?

Trigonometric Angles and Ratios:

In mathematics, basic trigonometric ratios are defined as those functions in which the angles of a right triangle (acute angles) are related to the lengths of two sides of the triangle.

The trigonometric ratio of cosine in a right triangle of acute angle {eq}\theta {/eq} is given by:

$$\cos \theta = \frac{\text{adjacent side length}}{\text{length of the hypotenuse}} $$

The values of some standard angles of trigonometric ratios are as follows:

$$\begin{align} \sin 45^{\circ} &= \cos 45^{\circ} = \frac{1}{\sqrt{2}} \\[0.2cm] \tan 45^{\circ} &= \cot 45^{\circ} = 1 \\[0.2cm] \cos 30^{\circ} &= \sin 60^{\circ} = \frac{\sqrt{3}}{2} \\[0.2cm] \sin 0^{\circ} &= \cos 90^{\circ} = 0 \\[0.2cm] \end{align} $$

Answer and Explanation: 1

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We are given the trigonometric equation:

$$2 \cos (x) = \sqrt{3} $$

We separate the trigonometric ratio of cosine from all the constants:

$$\begin...

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What is Trigonometry? - Functions, Formulas & Applications

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Chapter 22 / Lesson 11
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Learn what trigonometry is and what trigonometric functions are. Understand the examples of how to use each function, as well as know the instances when it is useful to use trigonometry.


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