Presentation is loading. Please wait.

Presentation is loading. Please wait.

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

Similar presentations


Presentation on theme: "TRIGONOMETRY Find trigonometric ratios using right triangles Solve problems using trigonometric ratios Sextant."— Presentation transcript:

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 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 TRIGONOMETRY comes from two Greek terms: – trigon, meaning triangle – metron, meaning measure A ratio of the lengths of sides of a right triangle is called a TRIGONOMETRIC RATIO.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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 Cosine function key Tangent function key


Download ppt "TRIGONOMETRY Find trigonometric ratios using right triangles Solve problems using trigonometric ratios Sextant."

Similar presentations


Ads by Google