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1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Tangent Ratio Stage 4 Year 9
2 Opposite Adjacent Adjacent Click Tan θ = OppositeAdjacent θ θ Opposite Trig Ratios
Tan θ = OppositeAdjacentP Q R 5 Tan P = 12 5 Tan R = 5 12 Trig Ratios
4 26 Tan θ = OppositeAdjacentP Q R 10 Tan A = A B 5 C Tan P = = 12 5 22222222 Tan C = 5 12 Tan R = = 5 12 22222222 24 Trig Ratios
o m Tan 30 o = m 6 6x x6 m = 6 x Tan 30 o ≈ 3.46 Use your Calculator! To 2 decimal places Trig Ratios Tan θ = OppositeAdjacent
o d tan 60 o = d 10 10x x10 10 x tan 60 o ≈ Use your Calculator! d = To 2 decimal places Trig Ratios Tan θ = OppositeAdjacent
7 k 50 o 6 tan 50 o = 6 k kx xk 6 = k x tan 50 o ≈ 5.03 Use your Calculator! Tan 50 o Tan 50 o k = 6 Tan 50 o To 2 decimal places Trig Ratios Tan θ = OppositeAdjacent
8 6 zozozozo 6 Tan z o = 6 6 zo =zo =zo =zo = Tan -1 ( ) Use your Calculator! = 45 o 66 Trig Ratios Tan θ = OppositeAdjacent
9 9 momomomo 5 Tan m o = 9 5 mo =mo =mo =mo = Tan -1 ( ) Use your Calculator! ≈ 61 o 95 To nearest whole degree Trig Ratios Tan θ = OppositeAdjacent
10 S Some O Old H Hags C Can A Always H Hide T Their O Old A Age S Sin O Opposite H Hypotenuse C Cos A Adjacent H Hypotenuse T Tan O Opposite A Adjacent
1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Cosine Ratio Stage 4 Year 9.
1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Sine Ratio Stage 4 Year 9.
1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Introduction Applied Mathematics Preliminary Stage 6.
9-1 Tangent Ratio 9-2 Sine and Cosine Ratio Learning Target: I will be able to solve problems using the tangent, sine, and cosine ratios. Goal 1.01.
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TRIGONOMETRIC RATIOS Chapter 9.5. New Vocabulary Trigonometric Ratio: The ratio of the lengths of two sides or a right triangle. The three basic trigonometric.
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World 5-1 Trigonometric Ratios. Recall that in the past finding an unknown side of a right triangle required the use of Pythagoras theorem. By using trig.
A C B What side is The hypotenuse? What side is opposite A? What side is adjacent to A? What side is opposite B? What side is adjacent to B? Line.
There are 3 kinds of trigonometric ratios we will learn. sine ratio cosine ratio tangent ratio Three Types Trigonometric Ratios.
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Similarity of any right triangle with the same acute measure. All 3 of the triangles are similar Their sides are in proportion We can write these proportions.
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Date: Topic: Trigonometric Ratios (9.5). Sides and Angles x The hypotenuse is always the longest side of the right triangle and is across from the right.
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9-2 Sine and Cosine Ratios. There are two more ratios in trigonometry that are very useful when determining the length of a side or the measure of an.
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Review of Trig Ratios 1. Review Triangle Key Terms A right triangle is any triangle with a right angle The longest and diagonal side is the hypotenuse.
Warm-Up 3/24-25 What are three basic trigonometric functions and the their ratios? Sine: sin Cosine: cos Tangent: tan
[8-3] Trigonometry Mr. Joshua Doudt Geometry pg
A C M 5 2. CCGPS Geometry Day 17 ( ) UNIT QUESTION: What patterns can I find in right triangles? Standard: MCC9-12.G.SRT.6-8 Today’s Question: How.
Geometry B Bellwork 3) Using the inverse of tangent Find m N to the nearest degree. tan N = = m N = tan -1 (0.6) m N ≈ 31° N RX
7.2 Finding a Missing Side of a Triangle using Trigonometry.
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Get a calculator!. Trigonometry Trigonometry is concerned with the connection between the sides and angles in any right angled triangle. Angle.
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Lesson 8-6 The Sine and Cosine Ratios (page 312) The sine ratio and cosine ratio relate the legs to the hypotenuse. How can trigonometric ratios be used.
8.4 Trigonometric Ratios. The word trigonometry comes from two Greek terms, trigon (triangle) and metron (measure). A trigonometric ratio is a ratio.
Trig Graphs. y = sin x y = cos x y = tan x y = sin x + 2.
A trigonometric ratio is a ratio of the lengths of 2 sides of a right triangle. You will learn to use trigonometric ratios of a right triangle to determine.
Best Practice #1 AusVELS Level 9.0 Students will identify similar triangles if the corresponding sides are in ratio and all corresponding angles equal.
Trig Review: PRE-AP Trigonometry Review Remember right triangles? hypotenuse θ Opposite side Adjacent side Triangles with a 90º angle.
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Objective: Students will be able to… Use the sine, cosine, and tangent ratios to determine missing side lengths and angle measures in a right triangle.
1 Practice Problems 1.Write the following to 4 decimal places A)sin 34 o = _____ B) cos 34 o = _____ C)tan 4 o = _____ D) cos 84 o = _____ E)tan 30 o =
Adjacent = Cos o x H Cosine Ratio To find an adjacent side we need 1 side (hypotenuse) and the included angle. a = Cos ° x H a = Cos 60° x 9 a = 0.5 x.
60º 5 ? 45º 8 ? Recall: How do we find “?”. 65º 5 ? What about this one?
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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