S3_General_Trigonometry - www.mathsrevision.com Trigonometr...

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Unformatted text preview: www.mathsrevision.com Trigonometr Trigonometr y y General Investigating the Tangent Ratio The Sine Ratio (Finding a length) The Sine Ratio (Finding an angle) The Cosine of an Angle Mixed Problems The Tangent (Finding lengths) The Tangent (Finding the Angle) The Cosine ( Finding a length) Starter Questions Starter Questions 13 Feb 2012 13 Feb 2012 Created by Mr.Lafferty Maths Dept Created by Mr.Lafferty Maths Dept www.mathsrevision.com Level E 2 6 6 % o f 2 7 0 3 Q1. Calculate Q2. Convert 60% to fraction and simplify. Q3. Convert Q4. What is the time difference 09:28 and 10:50 4 5 to a percentage. Q5. The answer to the question is 90. What is the question. 13 Feb 2012 13 Feb 2012 Created by Mr. Lafferty Maths Dept. Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Learning Intention Success Criteria Success Criteria 2. 2. Work out Tan Ratio. Work out Tan Ratio. 1. To identify the hypotenuse, opposite and adjacent sides in a right angled triangle. Angles & Triangles Angles & Triangles 1. 1. Understand the terms hypotenuse, Understand the terms hypotenuse, opposite and adjacent in right angled opposite and adjacent in right angled triangle. triangle. www.mathsrevision.com Trigonometr Trigonometr y y General Trigonometry means triangle and measurement. Adjacent Opposite x x h y p o t e n u s e We will be using right-angled triangles. These triangles have 2 things in common One is 37 o The other we will investigate Triangle A B C D Vertical side 3cm 6cm 4cm Horizontal side 4cm 8cm 6cm Ve r t ic al Hor izontal 3 0 .7 5 4 = 6 8 = 4 .5 6 = 3 0 .7 5 4 = 1.5cm 2cm 0.75 0.75 www.mathsrevision.com www.mathsrevision.com Trigonometr Trigonometr y y General www.mathsrevision.com For the RAT with angle of 37 o the answer obtained by dividing vertical side by horizontal side was R ight- A ngled T riangle ALWAYS 0.75 The number has a special name It is called the TANGENT of 37 o tan37 o www.mathsrevision.com www.mathsrevision.com www.mathsrevision.com Using a calculator to find tan ratio What Goes In The Box ? Find the tan ratio to 3 decimal places. tan 30 o tan 0 o tan 45 o tan 60 o tan 20 o tan 70 o = 0.577 = 0.000 = 1.000 = 1.732 = 0.364 = 2.747 General www.mathsrevision.com Trigonometr Trigonometr y y Adj x x Tan x = Opposite Opp Adjacent General www.mathsrevision.com Trigonometr Trigonometr y y General 60 12 m Adjacent Opposite h y p o t e n u s e Copy this! www.mathsrevision.com Trigonometr Trigonometr y y General Tan x = Opp Adj Tan 60 = Opp 12 = Opp 12 x Tan 60 Opp = 12 x Tan 60 = 20.8m (1 d.p.) Copy this! www.mathsrevision.com Trigonometr Trigonometr y y General Tan Ratio Ex1 Ch16 Page 198 Starter Questions Starter Questions www.mathsrevision.com www.mathsrevision.comwww....
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S3_General_Trigonometry - www.mathsrevision.com Trigonometr...

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