Trigonometry 2 L.O. All pupils can find missing sides on right angled triangles All pupils can find missing angles in right angled triangles.

Slides:



Advertisements
Similar presentations
by P Rowell Tile Hill Wood School
Advertisements

SOHCAHTOA TOA CAH SOH The three trigonometric ratios for right angled triangles are considered here. Click on a box to select a ratio.
Trigonometry Ratios.
Geometry Chapter 8.  We are familiar with the Pythagorean Theorem:
QUADRANT I THE UNIT CIRCLE. REMEMBER Find the length of the missing side: x y x y x y Aim: Use the unit circle in order to find the exact value.
Trigonometry Paper 2 Question 5. Trigonometry Overview Right Angled?Find Angle? Inverse: SOH CAH TOA Find Side?Given 2 sides Pythagoras Given 1 side only.
Trigonometry can be used for two things: 1.Using 1 side and 1 angle to work out another side, or 2.Using 2 sides to work out an angle.
Right Angle Trigonometry These relationships can only be used with a 90 o angle. SOH CAH TOA can be used to help remember the ratios A Adjacent Opposite.
Pythagoras and Trigonometry 11 Generic questions
Trigonometry. Basic Ratios Find the missing Law of Sines Law of Cosines Special right triangles
9.5 Trigonometric Ratios Sin-Cos-Tan. What is Trigonometry? Trigonometry (from Greek trigōnon "triangle" + metron "measure") is a branch of mathematics.
Trigonometry.
Classifying Triangles By Angles Acute: all three angles are less than 90 ◦ Obtuse: one angle is greater than 90 ◦ Right: one angle measure is 90 ◦ By.
College Algebra Trigonometry Triangles of Trigonometry By : Cherie Hamaj.
Problems in 3D OCR Stage 9.
Evaluating Trig Functions Special Right Triangles
Problems in 3D OCR Stage 9. What you should know Pythagoras’ Theorem Trigonometry in right-angled triangles Labelling of sides & angles in triangles.
Lesson 13.1 Right Triangle Trigonometry
Introduction to Trigonometry Part 1
Unit 7: Right Triangle Trigonometry
Trigonometry – Right Angled Triangles By the end of this lesson you will be able to identify and calculate the following: 1. Find the shorter side length.
45° a a a a a  2 60° 30° a 2a2a a3a3 Special Triangles Rules.
Using SOHCAHTOA Trigonometry. In each of the following diagrams use SIN to find the angle x correct to 1 decimal place x x x
Geometry Warm Up. 8-3 TRIGONOMETRY DAY 1 Objective: To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right.
Right Triangle Trigonometry Ratios Must label the sides B A C From the marked angle… Hypotenuse- across from the right angle Adjacent – next to.
Chapter 13 Right Angle Trigonometry
9.4 Trigonometry: Cosine Ratio
Trigonometry can be used for two things: 1.Using 1 side and 1 angle to work out another side, or 2.Using 2 sides to work out an angle.
Ratios for Right Angle Triangles.  Sine = opposite hypotenuse  Cosine = opposite hypotenuse  Tangent = opposite adjacent Sin = OCos = ATan = O H H.
9.2 Trigonometry: Tangent Ratio Day 1
Trigonometry in Rightangled Triangles Module 8. Trigonometry  A method of calculating the length of a side Or size of an angle  Calculator required.
Using the Sine, Cosine and Tangent Rules Objective: To relate the sine, cosine and tangent functions with the sides of a triangle to create rules. Use.
LAW OF SINE AND COSINE UNIT 5 – 6 USE ON ALL TRIANGLES!!!!
Trigonometric Ratios 8.2.
Right Triangle Trigonometry
Basic Trigonometry We will be covering Trigonometry only as it pertains to the right triangle: Basic Trig functions:  Hypotenuse (H) Opposite (O) Adjacent.
Section T.5 – Solving Triangles
Warm Up: Revision of Pythagoras and Trigonometry
8-4 Trigonometry Ms. Andrejko.
Pythagoras’ Theorem and Trigonometry
Learning Journey – Pythagoras’ Theorem and Trigonometry
Warm Up (Just give the fraction.) 3. Find the measure of ∠T: ________
Hyp Opp Adj c a b c 2 = a 2 + b 2 b 2 = c 2 - a 2 a 2 = c 2 - b 2 xo
A 5 4 C 3 B 3 5 Sin A =.
Lesson 8-3: Trigonometry
Warm Up Solve for each missing side length. x ° 8 x
P.726.
Evaluating Trig Functions Special Right Triangles
Basic Trigonometry.
Finding a missing angle with inverse trigonometric functions
Solve for the missing side.
all pupils can find the area of a triangle using trigonometry
Revision MYP 4 - Trigonometry lesson
Quotient Rule L.O. All pupils can solve basic differentiation questions All pupils can solve some problems requiring the Quotient Rule.
Lesson: Introduction to Trigonometry - Sine, Cosine, & Tangent
Trig Function Review.
An introduction to Trigonometry
Product Rule L.O. All pupils can solve basic differentiation questions
Introduction to Trigonometry
Trigonometry To be able to find missing angles and sides in right angled triangles Starter - naming sides.
Section 5.5 – Right Triangle Trigonometry
Trigonometry - Sin, Cos or Tan...
The Sine Rule.
Pythagoras L.O. All pupils can find the area of a triangle
Evaluating Trig Functions Special Right Triangles
All about right triangles
Grade 12 Essential Math Geometry and Trigonometry Unit
What can your remember about triangles?
Trigonometry Olivia Miller.
10-6 Trigonometric Ratios
Presentation transcript:

Trigonometry 2 L.O. All pupils can find missing sides on right angled triangles All pupils can find missing angles in right angled triangles

Starter: How do you know when to use SOHCAHTOA and when to use Pythagoras to find missing sides of right angled triangles?

Trigonometry 2 L.O. All pupils can find missing sides on right angled triangles All pupils can find missing angles in right angled triangles

Main 1: find missing sides on right angled triangles SOH-CAH-TOA Find the missing sides on the right angles triangles on the other board. Remember to think about whether you are to use Pythagoras or SOHCAHTOA.

Trigonometry 2 L.O. All pupils can find missing sides on right angled triangles All pupils can find missing angles in right angled triangles

Find the angle x in the following triangle SOH-CAH-TOA Find the angle x in the following triangle H 𝟕𝒄𝒎 O Label the triangle 𝒙° Decide which rule to use. A 𝟏𝟐𝒄𝒎 Substitute in your values

Find the angle x in the following triangle SOH-CAH-TOA H Find the angle x in the following triangle 𝟗𝒄𝒎 𝟏𝟒𝒄𝒎 O Label the triangle 𝒙° Decide which rule to use. A Substitute in your values

Trigonometry 2 L.O. All pupils can find missing sides on right angled triangles All pupils can find missing angles in right angled triangles

Plenary: H O 𝟑𝟐° A 𝟐𝟎𝒎

Trigonometry 2 L.O. All pupils can find missing sides on right angled triangles All pupils can find missing angles in right angled triangles