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Published byEzra Reed Modified over 8 years ago

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

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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

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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.

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

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

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

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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

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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

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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

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

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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

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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

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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

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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

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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

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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

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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

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

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

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