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TRIGONOMETRY

TRIGONOMETRY. Find trigonometric ratios using right triangles Solve problems using trigonometric ratios. Sextant. TRIGONOMETRIC RATIOS. TRIGONOMETRY comes from two Greek terms: trigon , meaning triangle metron , meaning measure. TRIGONOMETRIC RATIOS.

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TRIGONOMETRY

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  1. TRIGONOMETRY • Find trigonometric ratios using right triangles • Solve problems using trigonometric ratios Sextant

  2. TRIGONOMETRIC RATIOS • TRIGONOMETRY comes from two Greek terms: • trigon, meaning triangle • metron, meaning measure

  3. TRIGONOMETRIC RATIOS • TRIGONOMETRY comes from two Greek terms: • trigon, meaning triangle • metron, meaning measure A ratio of the lengths of sides of a right triangleis called a trigonometric ratio.

  4. TRIGONOMETRIC RATIOS • The three most common trigonometric ratios are: • Sine • Cosine • Tangent

  5. Key ConceptTrigonometric Ratios B hypotenuse A C Begin with a right triangle

  6. Key ConceptTrigonometric Ratios B leg opposite A hypotenuse A C leg opposite B measure of leg opposite A measure of hypotenuse sine of A =

  7. Key ConceptTrigonometric Ratios B leg opposite A hypotenuse A C leg opposite B measure of leg opposite A measure of hypotenuse BC AB sine of A = sin A =

  8. Key ConceptTrigonometric Ratios B leg opposite A hypotenuse A C leg opposite B measure of leg opposite A measure of hypotenuse BC AB sine of A = sin A = measure of leg opposite B measure of hypotenuse sine of B =

  9. Key ConceptTrigonometric Ratios B leg opposite A hypotenuse A C leg opposite B measure of leg opposite A measure of hypotenuse BC AB sine of A = sin A = measure of leg opposite B measure of hypotenuse AC AB sine of B = sin B =

  10. Key ConceptTrigonometric Ratios B hypotenuse A C leg adjacent to A measure of leg adjacent to A measure of hypotenuse cosine of A =

  11. Key ConceptTrigonometric Ratios B hypotenuse A C leg adjacent to A measure of leg adjacent to A measure of hypotenuse AC AB cosine of A = cos A =

  12. Key ConceptTrigonometric Ratios B leg adjacent to B hypotenuse A C leg adjacent to A measure of leg adjacent to A measure of hypotenuse AC AB cosine of A = cos A = measure of leg adjacent to B measure of hypotenuse cosine of B =

  13. Key ConceptTrigonometric Ratios B leg adjacent to B hypotenuse A C leg adjacent to A measure of leg adjacent to A measure of hypotenuse AC AB cosine of A = cos A = measure of leg adjacent to B measure of hypotenuse BC AB cosine of B = cos B =

  14. Key ConceptTrigonometric Ratios B leg opposite A and adjacent to B hypotenuse A C leg adjacent to A and opposite B measure of leg opposite A measure of leg adjacent to A tangent of A =

  15. Key ConceptTrigonometric Ratios B leg opposite A and adjacent to B hypotenuse A C leg adjacent to A and opposite B measure of leg opposite A measure of leg adjacent to A BC AC tangent of A = tan A =

  16. Key ConceptTrigonometric Ratios B leg opposite A and adjacent to B hypotenuse A C leg adjacent to A and opposite B measure of leg opposite A measure of leg adjacent to A BC AC tangent of A = tan A = measure of leg opposite B measure of leg adjacent to B tangent of B =

  17. Key ConceptTrigonometric Ratios B leg opposite A and adjacent to B hypotenuse A C leg adjacent to A and opposite B measure of leg opposite A measure of leg adjacent to A BC AC tangent of A = tan A = measure of leg opposite B measure of leg adjacent to B AC BC tangent of B = tan B =

  18. Reading Math • SOH – CAH – TOA • sin A = • cos A = • tan A = opp hyp adj hyp opp adj

  19. TRIGONOMETRIC RATIOS • The three most common trigonometric ratios are: • Sine • Cosine • Tangent Sine function key Tangent function key Cosine function key

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