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Subject  >  Math  >  Trigonometry  >  Trigonometry

Trigonometry
Introduction
       In Greek 'Trigonon' means a triangle. 'Metron' means a measure. The combination of these two words gives us the word 'Trigonometry'. Trigonometry is the branch of mathematics that deals with the relations between the sides and angles of triangles. In our study we will deal with the right angled triangles only.
Trigonometry
       (i) Sin q means a particular ratio. It is not sin multiplied by q.
       (ii) For trigonometrical ratios, short form T-ratios will be used.
       (iii) In right angled triangles T-ratios are obtained only for acute angles.
       (iv) T-ratios depend on only the magnitude of the angles and not on the size of the triangle.
Trigonometrical Ratios of Standard Angles
       0o, 30o, 45o, 60o and 90o are called standard angles.
       These angles are called standard angles because it is possible to obtain simple mathematical ratios for these angles.
Summary
       1. Sine of Angle = (Apposite side / Hypotenuse)
       2. Cosine of Angle = (Adjacent side / Hypotenuse)
       3. Tangent of Angle = (Opposite side / Adjacent side)
       4. sine of an angle = cosine of its complement. If sin A = cos B, then A + B = 90o.
       5. sin 0o = 0, cos 0o = 1, tan 0o = 0
       6. sin 90o = 1 cos 90o = 0
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Trigonometry
  		• Introduction
  		• Trigonometry
  		• Trigonometrical Ratios of Standard Angles
  		• Summary
    Animations
  		• Trigonometric Ratios

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