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TRIGONOMETRY

This comprehensive guide introduces the fundamentals of trigonometry, exploring the coordinate system, quadrants, and essential concepts such as radian and angle measurement. Learn about trigonometric functions, their graphs (sin, cos, tan, sec, cot), and the relationships between them. The guide discusses the signs of functions in various quadrants, identities, and the domain and range of trigonometric functions. Additionally, study the compound angle formulae and Pythagorean theorem application. Perfect for beginners aiming to master the basics of trigonometry.

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TRIGONOMETRY

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  1. TRIGONOMETRY

  2. METRY TRIGONOS

  3. THE BASICS

  4. The Coordinate System Y-AXIS Quadrant II Quadrant I X-AXIS Quadrant III Quadrant IV

  5. Radian Measure Since the circumference of a circle is _______ , one complete rotation would have arc length of _______.

  6. Radian Measure

  7. Angle Measurement Positive Angle Negative Angle Counterclockwise rotation. Clockwise rotation.

  8. Trigonometric Functions & the relation between them

  9. Trigonometry Review

  10. Quotient and Reciprocal Relations

  11. Pythagoras Theorem

  12. Similarly divide by p and b respectively to derive these relations yourself…

  13. The Graphs

  14. The Graph of y = sin

  15. The Graph of y = cos

  16. The Graph of y = tan

  17. The Graph of y = sec

  18. The Graph of y = cot

  19. The Quadrants and Ratios

  20. Sign of the Trigonometric Functions

  21. Trigonometric Functions of (/2 ± )

  22. Trigonometric Functions of ( ± ) Remember The rest of the steps will be the same as followed previously all we have to take care is in which quadrant the resultant function lies in.

  23. DOMAIN AND RANGE OF TRIGONOMETRIC FUNCTIONS

  24. The Identities

  25. COMPOUND ANGLE FORMULAE Sum and Difference Formulae

  26. If we replace B by (-B) in formula of sin(A – B), we have

  27. SOLUTION:

  28. SOLUTION:

  29. The Formulas!

  30. ILLUSTRATION TIME

  31. If in a ABC, cos3A + cos3B + cos3C = 3cosA cosB cosC, Prove that the triangle is equilateral.

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