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A ratio of lengths of two sides of a right triangle

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Presentation on theme: "A ratio of lengths of two sides of a right triangle"— Presentation transcript:

1 A ratio of lengths of two sides of a right triangle
The ratio of the sides opposite and adjacent (the legs) to the given angle BC BA

2 Greek Alphabet Theta (θ) is easily the most commonly used symbol with right triangle trigonometry, however, it's not uncommon to see alpha (α), beta (β) and gamma (γ) used too.

3 12 5 2.4 Tangent is the only trig ratio that can be greater than 1. TR TS 60 25 The two tangent ratios of a right triangle are always reciprocals. 4 decimals TS TR 25 60 5 12 0.4167

4 tanB = opp adj AC AB 48 14 tanB ≈ opp adj tanC = AC AB 48 14 tanC ≈

5 opp adj 17 x x x 17 tan31° Make sure the mode setting of the calculator is in Degrees and not Radians. Radians is another way of measuring angles like inches and centimeters are different ways of measuring the same line. skip x 28.293

6 tan62° tan62° h 100 tan62° ft

7 √3 short leg × √3 √3 × √ opp adj √3 3 √3 3 0.5774

8 opp adj tan63° = 13 x x × tan63° = 13 x = tan63° x ≈ 6.624 opp adj tan59° = 21 × tan59° = x x 21 ≈ x tan30° = opp adj 1 √3 × 3 LL = SL√3 x = √3 1

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