Right-angled Triangles The following questions come from past GCSE exam papers (Higher Tier). For each question: 1.Decide what piece of mathematics is.

Slides:



Advertisements
Similar presentations
Trigonometry Right Angled Triangle. Hypotenuse [H]
Advertisements

Trig Graphs. y = sin x y = cos x y = tan x y = sin x + 2.
1 Special Angle Values. 2 Directions A slide will appear showing a trig function with a special angle. Work out the answer Hit the down arrow to check.
TRIGONOMETRY. Sign for sin , cos  and tan  Quadrant I 0° <  < 90° Quadrant II 90 ° <  < 180° Quadrant III 180° <  < 270° Quadrant IV 270 ° < 
Summer School 2007B. Rossetto1 Trigonometry  Definitions  H.. P O Let OP = OH’ = r > 0, a positive length. Give the definition of: P’. H’. r r.
Let’s Play What have you learned about Analytic Geometry?
Perimeter and Area The following questions come from past GCSE examination questions (Higher Tier).
Volume of 3-D shapes The following questions come from past GCSE exam papers (Higher Tier).
Find the period of the function y = 4 sin x
The following questions come from past GCSE exam papers (Higher Tier).
Trigonometric equations
Sine Rule and Cosine Rule Joan Ridgway.
Trigonometry (RIGHT TRIANGLES).
© T Madas. 6 m 8 m Finding the hypotenuse x = x2= x = x2= x2 100 = x2= x2 = x= x = x= x 10 x = m 13 m Finding one of the shorter.
GCSE Right-Angled Triangles Dr J Frost Last modified: 2 nd March 2014 Learning Objectives: To be able to find missing sides.
Geometry Notes Lesson 5.3A – Trigonometry T.2.G.6 Use trigonometric ratios (sine, cosine, tangent) to determine lengths of sides and measures of angles.
Joan Ridgway. If the question concerns lengths or angles in a triangle, you may need the sine rule or the cosine rule. First, decide if the triangle is.
Learning how to … use Pythagoras’ Theorem to calculate a shorter side of a right-angled triangle Mathematics GCSE Topic Reminders.
STARTER x x In each triangle, find the length of the side marked x.
AS Core Maths - TAM Online Session 8: Trigonometry
Trigonometry Review Game. Do not use a calculator on any of these questions until specified otherwise.
6.2: Right angle trigonometry
BRING YOUR CALCULATOR How to revise for Maths BRING YOUR CALCULATOR.
LO To assess your understanding of Trigonometry RAG Key Words: Sine, Tangent, Cosine, Inverse20-Oct-15.
GCSE Maths – Linear Course Structure: 2 tiersFoundation and Higher Foundation = Grades C to G Higher = Grades A* to D/E 2013 Grade boundaries: C grade.
Year 9 Trigonometry Dr J Frost Last modified: 2 nd November 2014.
Problems in 3D OCR Stage 9. What you should know Pythagoras’ Theorem Trigonometry in right-angled triangles Labelling of sides & angles in triangles.
L7/8 Teacher's Notes Topic: SSM - Pythag, sim triangles Pythagoras (a) Use Pythagoras' theorem to explain why triangle A must be right-angled. (b) Triangle.
M May Pythagoras’ Theorem The square on the hypotenuse equals the sum of the squares on the other two sides.
Trigonometry Exact Value Memory Quiz A Trigonometry Exact Value Memory Quiz A.
Triangle Author: Kit Date: Introduction In this slide show, we will talk about the right triangle and some properties Pythagoras’ Theorem.
C2: Trigonometrical Identities
Using SOHCAHTOA Trigonometry. In each of the following diagrams use SIN to find the angle x correct to 1 decimal place x x x
BELL-WORK TCAP Bell-Work # What is the cotangent of angle x if sec(x) = 12 5.
MATH 110 UNIT 1 – TRIGONOMETRY Part A. Activity 7 – Find Missing Sides To find an unknown side on a triangle, set up our trigonometric ratios and use.
Trigonometry Chapters Theorem.
(1) Sin, Cos or Tan? x 7 35 o S H O C H A T A O Answer: Tan You know the adjacent and want the opposite.
Chapter 13 Right Angle Trigonometry
8.4 Trigonometry In Right triangles. A. Express sin L, cos L, and tan L as a fraction and as a decimal to the nearest ten thousandth.
Sin x = Solve for 0° ≤ x ≤ 720°
Trigonometry Mini-Project Carlos Velazquez 6/4/13 A block.
GCSE Mathematics Problem Solving Shape and Measure Higher Tier.
Rathdown School. Design considerations: Only fold in half Maximize volume Which way to fold? Material costs Installation costs Maintenance costs.
IGCSE FM Trigonometry Dr J Frost Last modified: 18 th April 2016 Objectives: (from the specification)
Trigonometry. 2 Unit 4:Mathematics Aims Introduce Pythagoras therom. Look at Trigonometry Objectives Investigate the pythagoras therom. Calculate trigonometric.
Each group starts with £50 Each round, you must decide which question you will answer (£10, £15 or £20) – the higher the stake, the harder the question.
42ft. 4.83ft. Special Right Triangles sh. leg = sh. leg/ √3 sh. leg = 42 /√3 sh. leg = 14√3 Hyp = sh. leg × 2 Hyp = 14√3 × 2 Hyp = 28√3ft. Trigonometry.
Starter Questions Starter Questions xoxo The Three Ratios Cosine Sine Tangent Sine Tangent Cosine Sine opposite adjacent hypotenuse.
Trigonometry in Rightangled Triangles Module 8. Trigonometry  A method of calculating the length of a side Or size of an angle  Calculator required.
Trigonometry Lesley Soar Valley College Objective: To use trigonometric ratios to find sides and angles in right-angled triangles. The Trigonometric.
Chapter 7 Trigonometry Additional Example 7.1Additional Example 7.1 Additional Example 7.2Additional Example 7.2 Additional Example 7.3Additional Example.
The Unit Circle and Circular Functions Trigonometry Section 3.3.
GCSE Mathematics Problem Solving Shape and Measure Higher Tier.
Joan Ridgway. If the question concerns lengths or angles in a triangle, you may need the sine rule or the cosine rule. First, decide if the triangle is.
29.01 Past Paper Questions – National 5 Mathematics
Pythagoras’ Theorem and Trigonometry
Pythagorean triples.
Sine Rule and Cosine Rule Joan Ridgway.
All about right triangles
Pythagoras & Trigonometry
X-STANDARD MATHEMATICS ONE MARK QUESTIONS
Sine Rule and Cosine Rule Joan Ridgway.
L.O. Trigonometry All will be able to remember the sine rule
Sine Rule and Cosine Rule Joan Ridgway.
GCSE AQA Revision Paper 1 Additional Questions Mark scheme V1.0.
Trigonometry - Sin, Cos or Tan...
Unit 3: Right Triangle Trigonometry
Welcome GCSE Maths.
Solving Right Triangles
Maths Unit 23 – Pythagoras & Trigonometry
Presentation transcript:

Right-angled Triangles The following questions come from past GCSE exam papers (Higher Tier). For each question: 1.Decide what piece of mathematics is required in order to answer the question. For example, Pythagoras’ Theorem; Trigonometry (sin, cos, tan); Area;... 2.Find the answer to the question.

1.Decide what piece of mathematics is required in order to answer the question. For example, Pythagoras’ Theorem; Trigonometry (sin, cos, tan); Area;... 2.Find the answer to the question. QUESTION 1: November 2012 Paper 2 (Linear 4370/06); Question 6b (4 marks). 1 2 Right-angled Triangles

1.Decide what piece of mathematics is required in order to answer the question. For example, Pythagoras’ Theorem; Trigonometry (sin, cos, tan); Area;... 2.Find the answer to the question. QUESTION 2: Summer 2011 Paper 2 (Linear 185/10); Question 9a (3 marks). 1 2 Right-angled Triangles

QUESTION 3: Summer 2014 Paper 2 (Linear 4370/06); Question 9 (4 marks) Decide what piece of mathematics is required in order to answer the question. For example, Pythagoras’ Theorem; Trigonometry (sin, cos, tan); Area;... 2.Find the answer to the question. Right-angled Triangles

QUESTION 4: Summer 2013 Paper 2 (Linear 4370/06); Question 7 (4 marks) Decide what piece of mathematics is required in order to answer the question. For example, Pythagoras’ Theorem; Trigonometry (sin, cos, tan); Area;... 2.Find the answer to the question. Right-angled Triangles

QUESTION 5: Summer 2014 Unit 3 (Unitised 4353/02); Question 13 (4 marks) Decide what piece of mathematics is required in order to answer the question. For example, Pythagoras’ Theorem; Trigonometry (sin, cos, tan); Area;... 2.Find the answer to the question. Right-angled Triangles

QUESTION 6: Summer 2014 Unit 3 (Unitised 4353/02); Question 7 (4 marks) Decide what piece of mathematics is required in order to answer the question. For example, Pythagoras’ Theorem; Trigonometry (sin, cos, tan); Area;... 2.Find the answer to the question. Right-angled Triangles

QUESTION 7: Linked Pair Pilot – January 2014 Unit 2 Methods (4364/02); Question 10 (5 marks). 1.Decide what piece of mathematics is required in order to answer the question. For example, Pythagoras’ Theorem; Trigonometry (sin, cos, tan); Area;... 2.Find the answer to the question. Right-angled Triangles 1 2ABAB

QUESTION 8: November 2012 Paper 2 (Linear 4370/06); Question 9 (3 marks) Decide what piece of mathematics is required in order to answer the question. For example, Pythagoras’ Theorem; Trigonometry (sin, cos, tan); Area;... 2.Find the answer to the question. Right-angled Triangles

QUESTION 9: Summer 2013 Paper 2 (Linear 4370/56); Question 11 (5 marks) Decide what piece of mathematics is required in order to answer the question. For example, Pythagoras’ Theorem; Trigonometry (sin, cos, tan); Area;... 2.Find the answer to the question. Right-angled Triangles

QUESTION 10: November 2013 Unit 3 (Unitised 4353/02); Question 10b (4 marks) Decide what piece of mathematics is required in order to answer the question. For example, Pythagoras’ Theorem; Trigonometry (sin, cos, tan); Area;... 2.Find the answer to the question. Right-angled Triangles

QUESTION 11: November 2013 Unit 3 (Unitised 4353/02); Question 10a (3 marks) Decide what piece of mathematics is required in order to answer the question. For example, Pythagoras’ Theorem; Trigonometry (sin, cos, tan); Area;... 2.Find the answer to the question. Right-angled Triangles

QUESTION 12: Linked Pair Pilot – Summer 2014 Unit 2 Methods (4364/02); Question 10 (6 marks) Decide what piece of mathematics is required in order to answer the question. For example, Pythagoras’ Theorem; Trigonometry (sin, cos, tan); Area;... 2.Find the answer to the question. Right-angled Triangles

QUESTION 13: Linked Pair Pilot – January 2014 Unit 2 Applications (4362/02); Question 13 (5 marks) Decide what piece of mathematics is required in order to answer the question. For example, Pythagoras’ Theorem; Trigonometry (sin, cos, tan); Area;... 2.Find the answer to the question. Right-angled Triangles

QUESTION 14: Summer 2014 Paper 1 (Linear 4370/05); Question 4 (4 marks) Decide what piece of mathematics is required in order to answer the question. For example, Pythagoras’ Theorem; Trigonometry (sin, cos, tan); Area;... 2.Find the answer to the question. Right-angled Triangles

QUESTION 15: Summer 2007 Paper 1 (Linear 185/04); Question 4 (3 marks) Decide what piece of mathematics is required in order to answer the question. For example, Pythagoras’ Theorem; Trigonometry (sin, cos, tan); Area;... 2.Find the answer to the question. Right-angled Triangles

QUESTION 16: Linked Pair Pilot – January 2013 Unit 2 Methods (4364/02); Question 5 (3 marks) Decide what piece of mathematics is required in order to answer the question. For example, Pythagoras’ Theorem; Trigonometry (sin, cos, tan); Area;... 2.Find the answer to the question. Right-angled Triangles