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  <title>Chapter 3: Trigonometric Functions</title>
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  <div class="chapter-header">
    <h1>Chapter 3: Trigonometric Functions – Formula Sheet</h1>
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  <div class="formula-box">
    <strong>Basic Trigonometric Ratios:</strong>
    \( \sin x = \frac{\text{Perpendicular}}{\text{Hypotenuse}}, \quad \cos x = \frac{\text{Base}}{\text{Hypotenuse}}, \quad \tan x = \frac{\text{Perpendicular}}{\text{Base}} \)
  </div>

  <div class="formula-box">
    <strong>Reciprocal Identities:</strong>
    \( \csc x = \frac{1}{\sin x}, \quad \sec x = \frac{1}{\cos x}, \quad \cot x = \frac{1}{\tan x} \)
  </div>

  <div class="formula-box">
    <strong>Pythagorean Identities:</strong>
    \( \sin^2 x + \cos^2 x = 1 \)
    <br>\( 1 + \tan^2 x = \sec^2 x \)
    <br>\( 1 + \cot^2 x = \csc^2 x \)
  </div>

  <div class="formula-box">
    <strong>Double Angle Formulas:</strong>
    <ul>
      <li>\( \sin(2x) = 2\sin x \cos x \)</li>
      <li>\( \cos(2x) = \cos^2 x - \sin^2 x \)</li>
      <li>\( \tan(2x) = \frac{2\tan x}{1 - \tan^2 x} \)</li>
    </ul>
  </div>

  <div class="formula-box">
    <strong>Periodic Properties:</strong>
    <ul>
      <li>\( \sin(x + 2\pi) = \sin x \)</li>
      <li>\( \cos(x + 2\pi) = \cos x \)</li>
      <li>\( \tan(x + \pi) = \tan x \)</li>
    </ul>
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