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- 1. INTRODUCTION TO TRIGONOMETRY MADE BY:- ANISH HAKHU IX - A
- 2. What is Trigonometry? <ul><li>Trigonometry is the study of how the sides and angles of a triangle are related to each other. </li></ul><ul><li>It's all about triangles! </li></ul>
- 3. Right Triangle Opposite Hypotenuse Adjacent A
- 4. Same Right Triangle – Different Angle Hypotenuse B Adjacent Opposite
- 5. Trigonometric Ratios <ul><li>The trigonometric ratios of the angle A in right triangle are defined as follows : </li></ul><ul><li>Sine of L A = side opposite to angle A = BC </li></ul><ul><li>hypotenuse AC </li></ul><ul><li>Cosine of L A = side adjacent to angle A = AB </li></ul><ul><li>hypotenuse AC </li></ul><ul><li>Tangent of L A = side opposite to angle A = BC </li></ul><ul><li>side adjacent to angle A AB </li></ul><ul><li>Cosecant of L A = 1 = hypotenuse = AC </li></ul><ul><li>sine of L A side opposite to angle A BC </li></ul><ul><li>Secant of L A = 1 = hypotenuse = AC </li></ul><ul><li>cosine of L A side adjacent to angle A BC </li></ul><ul><li>Cotangent of L A = 1 = hypotenuse = AC </li></ul><ul><li>tangent of L A side opposite to angle A BC </li></ul>
- 6. A Way To Remember <ul><li>S in = O pposite/ H ypotenuse </li></ul><ul><li>Oprah Had </li></ul><ul><li>C os = A djacent/ H ypotenuse </li></ul><ul><li>A Huge </li></ul><ul><li>T an = O pposite/ A djacent </li></ul><ul><li>Old Afro </li></ul>
- 7. y x y x r x,y O r = x + y 2 2 2
- 8. Definitions of Trig Functions <ul><li>Sin = y / r </li></ul><ul><li>Cos = x / r </li></ul><ul><li>Tan = y / x </li></ul><ul><li>Csc = r / y </li></ul><ul><li>Sec = r / x </li></ul><ul><li>Cot = x / y </li></ul>O O O O O O
- 9. The Unit Circle Radius = 1
- 11. y x 1/2 x,y 1 √ 3/2 30 r = x + y 2 2 2
- 12. y x √/2/2 x,y 1 √ 2/2 45 r = x + y 2 2 2
- 13. y x 1/2 x,y 1 √ 3/2 60 r = x + y 2 2 2
- 14. The Unit Circle-Special Angles and Their Exact Values
- 15. THE END

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