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TANGENT RATIO CHAPTER 7 Section 4 Jim Smith JCHS

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A B C HYPOTENUSE LEG

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A B C 10 6 8

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4 3 5 X Y Z

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TANGENT = OPPOSITE LEG ADJACENT LEG

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A BC 24 7 25 TAN OF A = 7 24

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A BC 7 25 24 7 TAN OF C =

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USING THE TANGENT RATIO X 6 55 OPP ADJ 3) X = 8.56 or 8.6 1) TAN OF 55 = X 6 1 2) 1.4281 = X 6

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2.7474 X 2.7474 70 18 x OPP ADJ 1) TAN OF 70 = 3) 4) X = 6.6 18 X 18 X 2.7474 = 2) 18 = 1 2.7474

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3 X 43 1)2) 18 X 27 3) 7X 39 4) 13 X 55

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1) TAN 43 = 3 / X.9325 = 3 / X.9325 X = 3 X = 3.2 2) TAN 18 = X / 27.3249 = X / 27 X = 8.8 3) TAN 39 = X / 7.8097 = X / 7 X = 5.7 4) TAN 55 = 13 / X 1.4281 = 13 / X 1.4281 X = 13 X = 9.1

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REMEMBER SET CALCULATORS TO DEGREES SET CALCULATORS TO DEGREES SHOW ALL STEPS SHOW ALL STEPS TAN RATIOS TO 4 DECIMAL PLACES TAN RATIOS TO 4 DECIMAL PLACES ROUND ANSWERS TO 1 DECIMAL PLACE ROUND ANSWERS TO 1 DECIMAL PLACE

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EXAMPLE 1 Finding Trigonometric Ratios For PQR, write the sine, cosine, and tangent ratios for P. SOLUTION For P, the length of the opposite side is 5.

EXAMPLE 1 Finding Trigonometric Ratios For PQR, write the sine, cosine, and tangent ratios for P. SOLUTION For P, the length of the opposite side is 5.

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