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 TRIGONOMETRY comes from two Greek terms: – trigon, meaning triangle – metron, meaning measure
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.
TRIGONOMETRIC RATIOS The three most common trigonometric ratios are: Sine Cosine Tangent
Key ConceptTrigonometric Ratios hypotenuse A B C Begin with a right triangle
Key ConceptTrigonometric Ratios sine of A = measure of leg opposite A measure of hypotenuse hypotenuse leg opposite A leg opposite B A B C
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
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
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
Key ConceptTrigonometric Ratios cosine of A = measure of leg adjacent to A measure of hypotenuse hypotenuse leg adjacent to A A B C
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
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
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
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
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
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
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
Reading Math SOH – CAH – TOA sin A = cos A = tan A = opp hyp adj hyp opp adj
TRIGONOMETRIC RATIOS The three most common trigonometric ratios are: Sine Cosine Tangent Sine function key Cosine function key Tangent function key