Trigonometry: Answers to 1dp Trigonometry: Answers to 1dp 1.) 2.) b

Slides:



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

Geometry 8.5 The Tangent Ratio. Trigonometry The word trigonometry comes from the Greek words that mean “triangle measurement.” In this course we will.
An introduction to Trigonometry A. A Opposite An introduction to Trigonometry A Opposite Hypotenuse.
Y10 Triangle Starters Pythagoras APythagoras A | Pythagoras A AnswersPythagoras A Answers Pythagoras BPythagoras B | Pythagoras B AnswersPythagoras B Answers.
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.
© 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.
Lesson 7-5 Right Triangle Trigonometry 1 Lesson 7-5 Right Triangle Trigonometry.
STARTER x x In each triangle, find the length of the side marked x.
Get a calculator!. Trigonometry Trigonometry is concerned with the connection between the sides and angles in any right angled triangle. Angle.
Trigonometric Ratios Trigonometry – The branch of mathematics that deals with the relations between the sides and angles of triangles, and the calculations.
7.2 Finding a Missing Side of a Triangle using Trigonometry
TRIGONOMETRY BASIC TRIANGLE STUDY: RATIOS: -SINE -COSINE -TANGENT -ANGLES / SIDES SINE LAW: AREA OF A TRIANGLE: - GENERAL -TRIGONOMETRY -HERO’S.
Triangle Author: Kit Date: Introduction In this slide show, we will talk about the right triangle and some properties Pythagoras’ Theorem.
Trigonometry Revision. B AC 30 º hypotenuse adjacent opposite.
Chapter : Trigonometry Lesson 3: Finding the Angles.
Using SOHCAHTOA Trigonometry. In each of the following diagrams use SIN to find the angle x correct to 1 decimal place x x x
Starter Draw a right angled triangle, where the two shorter sides are 7cm and 13cm, and measure the hypotenuse 7cm 13cm ?
Right Triangle Trigonometry Ratios Must label the sides B A C From the marked angle… Hypotenuse- across from the right angle Adjacent – next to.
(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
Trigonometry 2 Finding the angle when the sides are given.
Trigonometry Mini-Project Carlos Velazquez 6/4/13 A block.
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.
Basic Trigonometry An Introduction.
The three trigonometric ratios
How to find the missing angle of a triangle.
TRIGONOMETRY.
Right Triangle Trigonometry
Trigonometry Learning Objective:
Trigonometry Review.
Basic Trigonometry We will be covering Trigonometry only as it pertains to the right triangle: Basic Trig functions:  Hypotenuse (H) Opposite (O) Adjacent.
Warm Up Use the following triangles: Find a if b = 10√2
Trigonometry Trigonometry is concerned with the connection between the sides and angles in any right angled triangle. Angle.
Which of the following statements is true for this triangle?
Pythagoras’ Theorem and Trigonometry
17 Trigonometry Compass Directions N S N S N 45° E 45° E W E W 30°
Using the Pythagoras Theorem.
Trigonometry Learning Objective:
7.4 - The Primary Trigonometric Ratios
You will need a calculator and high lighter!
What is trigonometry?.
Triangle Starters Pythagoras A | Answers Pythagoras B | B Answers
Introduction to Trigonometry.
Let’s Investigate The Tangent Ratio The Tangent Angle The Sine Ratio
29 November 2018 Trigonometry
L.O. Trigonometry All will be able to remember the sine rule
Day 97 –Trigonometry of right triangle 2
©G Dear2008 – Not to be sold/Free to use
Trigonometry Learning Objective:
Right Triangle Trigonometry
Y10 Triangle Starters Pythagoras A | Pythagoras A Answers
Aim: How do we review concepts of trigonometry?
Trigonometry Monday, 18 February 2019.
Trigonometry To be able to find missing angles and sides in right angled triangles Starter - naming sides.
© T Madas.
Trigonometry - Sin, Cos or Tan...
Right Triangle Trigonometry
Trigonometry (Continued).
Trigonometric Ratios Geometry.
Welcome GCSE Maths.
Unit 3: Right Trigonometric Ratios
Trigonometry – Angles & Lengths – Demonstration
Trigonometry Olivia Miller.
Trigonometry – Lengths – Demonstration
Right Triangle Trigonometry
Maths Unit 23 – Pythagoras & Trigonometry
Presentation transcript:

Trigonometry: Answers to 1dp Trigonometry: Answers to 1dp 1.) 2.) b Sin x = O H Cos x = A H Tan x = O A Trigonometry: Answers to 1dp Sin x = O H Cos x = A H Tan x = O A 1.) 2.) b 1.) 2.) b 7m 7m 40˚ 33˚ 40˚ 33˚ 4cm 4cm a a 3.) 4.) 3.) 4.) d d 6m 6m 35˚ 35˚ 4.3m 51˚ 4.3m 51˚ c c 5.) 6.) 5.) 6.) 2m 2m e 45˚ 67˚ f e 45˚ 67˚ f 4m 4m 7.) 8.) 7.) 8.) h h 4.5m 4.5m 53˚ 53˚ 45˚ 8.9m 45˚ 8.9m g g 9.) 10.) j 9.) 10.) j k k 22˚ 22˚ 7cm 15˚ 15˚ 8.1m 7cm 8.1m 11.) 12.) 11.) 12.) 18cm 27˚ 11m n 18cm 27˚ 11m n 20˚ 20˚ m m

Trigonometry: Answers to 1dp Trigonometry: Answers to 1dp 1.) 2.) 16cm Sin x = O H Cos x = A H Tan x = O A Trigonometry: Answers to 1dp Sin x = O H Cos x = A H Tan x = O A 1.) 2.) 16cm 1.) 2.) 16cm 6m 6m x˚ x˚ 28cm x˚ x˚ 28cm 3cm 3cm 3.) 4.) 3.) 4.) 55m 55m 12m x˚ 12m 28m x˚ x˚ 28m x˚ 7m 7m 5.) 6.) 5.) 6.) 22m 22m x˚ x˚ 18m x˚ x˚ 18m 12cm 14cm 12cm 14cm 7.) 8.) 7.) 8.) 13cm 13cm 46cm 46cm x˚ x˚ 15cm x˚ x˚ 15cm 34cm 34cm 9.) 10.) 39m 9.) 10.) 12m 39m 12m x˚ x˚ 57m x˚ 13m 57m x˚ 13m 11.) 12.) 11.) 12.) 35km 35km x˚ 12m 8m x˚ 12m 8m x˚ x˚ 25km 25km

Which side is coloured Red?  Opposite Adjacent Hypotenuse

Which side is coloured Red?  Opposite Adjacent Hypotenuse

Which side is coloured Red?  Opposite Adjacent Hypotenuse

Which side is coloured Red? Opposite Adjacent Hypotenuse

Which side is coloured Red?  Opposite Adjacent Hypotenuse

7cm  5cm Sin Tan Cos

8cm  5cm Sin Tan Cos

 9cm 6cm Sin Tan Cos

10cm 8cm  Sin Tan Cos

10cm  9cm Sin Tan Cos

10cm  8cm Sin Tan Cos

 10cm 9cm Sin Tan Cos

 9cm 6cm Sin Tan Cos

9cm  6cm Sin Tan Cos

x 32˚ 4 x = 7.7 x˚ 4 7 x = 10.0 4 32˚ x 7 x = 55.2 x˚ 5 x = 6.3 x = 6.4 7 x 65˚

x 32˚ 4 x = 7.7 x˚ 4 7 x = 10.0 4 32˚ x 7 x = 55.2 x˚ 5 x = 6.3 x = 6.4 7 x 65˚

x 65˚ 7 x = 4.7 x = 35.5 4 x˚ 7 47˚ 6 x x = 44.4 x = 34.8 7 x˚ 5 x = 5.6 x 47˚ 6

x 65˚ 7 x = 4.7 x = 35.5 4 x˚ 7 47˚ 6 x x = 44.4 x = 34.8 7 x˚ 5 x = 5.6 x 47˚ 6

A B Cos Sin Which ratio should I use? x 3 23° D C Pythagoras Tan

A B Cos Sin Which ratio should I use? y 21° 6 D C Pythagoras Tan

A B Cos Sin Which ratio should I use? 10 y 6 D C Pythagoras Tan

A B D C 4 x 35 35 x 4 Which triangle is this calculation from? x = 4sin35 x D C 35 4 35 4 x

A B D C 4 3   4 3 Which triangle is this calculation from? Cos  = 0.75 D C 4  x 3 4 3

A B D C x 3   4 4 3 x Which triangle is this calculation from?

Beal is East of Abbot Chesterfield is south of Abbot Beal is 24km from Chesterfield on a bearing of 034°. Find the distance of Beal from Abbot to 2 decimal places. Drawing Calculation Use Sin Sin 34 = x 24 x A B x = 13.42km C 034° 24km

Two towns; Abbot and Beal are 24km apart. The bearing from Abbot to Chesterfield is 180° Chesterfield is 17km from Abbott Find the distance from Chesterfield to Beal to 2 decimal places. Drawing Calculation N 180° A B 24km 90° 17km x C