Section 5.5 – Right Triangle Trigonometry

Slides:



Advertisements
Similar presentations
SOHCAHTOA TOA CAH SOH The three trigonometric ratios for right angled triangles are considered here. Click on a box to select a ratio.
Advertisements

Unit 2 – Triangle Trigonometry Section 2.1 – Right Triangle Trigonometry Calculator Required.
Trigonometry Ratios.
4.1 – Right Triangle Trigonometry. Sin Ɵ = opp hyp.
Trigonometry Review of Pythagorean Theorem Sine, Cosine, & Tangent Functions Laws of Cosines & Sines.
Trigonometry Let’s Investigate Extension The Tangent Ratio The Tangent Angle The Sine Ratio The Sine Angle The Cosine Ratio The.
TRIGONOMETRY Find trigonometric ratios using right triangles Solve problems using trigonometric ratios Sextant.
7.3 Special Angles (30  & 60  ). Equilateral Triangle 60  angles w/ sides = 1 Drop Perpendicular Bisector to form  1 60   60  30.
7.3 Special Angles (45 & Quadrantal)
Presents Let’s Investigate Extension The Tangent ratio The Sine ratio The Cosine ratio The three ratios.
Six Example with choice
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
Lesson 7-5 Right Triangle Trigonometry 1 Lesson 7-5 Right Triangle Trigonometry.
Notes - Trigonometry *I can solve right triangles in real world situations using sine, cosine and tangent. *I can solve right triangles in real world situations.
Trigonometry Objectives: The Student Will … Find trigonometric ratios using right Triangles Solve problems using trigonometric ratios HOMEWORK: Sin, cos,
Trigonometry functions and Right Triangles First of all, think of a trigonometry function as you would any general function. That is, a value goes in and.
© The Visual Classroom Trigonometry: The study of triangles (sides and angles) physics surveying Trigonometry has been used for centuries in the study.
Geometry A BowerPoint Presentation.  Try these on your calculator to make sure you are getting correct answers:  Sin ( ) = 50°  Cos ( )
13.1 – Use Trig with Right Triangles
Trigonometry SohCahToa.
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.
Chapter 8.3: Trigonometric Ratios. Introduction Trigonometry is a huge branch of Mathematics. In Geometry, we touch on a small portion. Called the “Trigonometric.
13.4 and 13.5 Basic Trig. Today we will… Find the sine, cosine, and tangent values for angles. We will also use the sine, cosine and tangent to find angles.
Right Triangle Trigonometry
Geometry A BowerPoint Presentation.  Try these on your calculator to make sure you are obtaining the correct answers:  tan 60° =  cos 25° =
Lesson 7-4 Right Triangle Trigonometry 2 Lesson 7-4 Right Triangle Trigonometry.
Section 2 – WARM UP Use your graphing calculator to find the answers to the following trig. values or angle measurements. 1. sin θ = sec θ =
7.5 & 7.6– Apply the Sin-Cos-Tan Ratios. Hypotenuse: Opposite side: Adjacent side: Side opposite the reference angle Side opposite the right angle Side.
3(x + 2) + 5 = 2x – (1 + 3x) 3x = 2x – 1 – 3x 3x + 11 = -x – 1 4x + 11 = -1 4x = -12 x = -3 3(x + 2) + 5 = 2x – (1 + 3x) 3x = 2x – 1 +
Knight’s Charge: Precalculus 41 Right Triangle Trigonometry 1.
Introduction to Trigonometry Part 1
Trigonometric Ratios A RATIO is a comparison of two numbers. For example; boys to girls cats : dogs right : wrong. In Trigonometry, the comparison is between.
Trigonometry: The study of triangles (sides and angles) physics surveying Trigonometry has been used for centuries in the study.
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
Find the missing measures (go in alphabetical order) 60° 30° 10 y z Warm – up 3 45  y 60  30  x 45 
Topic: Trigonometry Ratios Using the Calculator… CAUTION! Always be on Degrees DEG, DG, D NOT Rad or Grad To get the RATIOS: tan, cos, or sin button.
8.3 Trigonometry SOL: G8 Objectives: The Student Will … Find trigonometric ratios using right Triangles Solve problems using trigonometric ratios.
Trigonometric Ratios In Trigonometry, the comparison is between sides of a triangle. Used to find a side of a right triangle given 1 side and 1 acute angle.
Ratios for Right Angle Triangles.  Sine = opposite hypotenuse  Cosine = opposite hypotenuse  Tangent = opposite adjacent Sin = OCos = ATan = O H H.
Convert Angles in Degrees to Degree and Minutes and vice versa.
The Primary Trigonometric Ratios
Tangent Ratio.
TRIGONOMETRY.
Right Triangle Trigonometry
Trigonometry Learning Objective:
Basic Trigonometry We will be covering Trigonometry only as it pertains to the right triangle: Basic Trig functions:  Hypotenuse (H) Opposite (O) Adjacent.
Pythagoras’ theorem Take a right-angled triangle with sides of 5cm, 4cm and 3cm. Draw squares off each side of the triangle.
8-4 Trigonometry Ms. Andrejko.
Objectives Find the sine, cosine, and tangent of an acute angle.
Trigonometry Learning Objective:
7.4 - The Primary Trigonometric Ratios
2.1 – Trigonometric Functions of Acute Angles
UNIT QUESTION: What patterns can I find in right triangles?
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
Trigonometry Welcome to Camp SOH-CAH-TOA
A 5 4 C 3 B 3 5 Sin A =.
Introduction to Trigonometry.
Let’s Investigate The Tangent Ratio The Tangent Angle The Sine Ratio
Right Triangle Trigonometry
Test Review.
7.5 Apply the Tangent Ratio
Trigonometry To be able to find missing angles and sides in right angled triangles Starter - naming sides.
RIGHT OPPOSITE HYPOTENUSE ADJACENT HYPOTENUSE OPPOSITE ADJACENT
Trigonometry - Sin, Cos or Tan...
Right Triangle Trigonometry
All about right triangles
Trigonometry Olivia Miller.
10-6 Trigonometric Ratios
Presentation transcript:

Section 5.5 – Right Triangle Trigonometry

a b c a b c 2 Decimal Places Nearest minute

a b c OPP ADJ HYP a b c OPP ADJ HYP SOH - CAH - TOA

Sides in A, B, C 2 Decimal Places Angles in D, E, F Nearest Minute

a b c 10 6 STO ALPHA A 8 STO ALPHA B 90 STO ALPHA F ALPHA A + B ENTER 10 STO ALPHA C

a b c opp adj 10 2nd tan ( A ENTER B 2nd angle 4 ENTER STO Alpha D ENTER

a b c 10 180 - ENTER ALPHA D F 2nd angle 4 ENTER

a b c 7.13 STO ALPHA B 11.77 C 90 F ALPHA C - B ENTER STO ALPHA A

a b c opp hyp 2nd sin ( B ENTER C 2nd angle 4 ENTER STO Alpha E ENTER

a b c 180 - ENTER ALPHA E F 2nd angle 4 ENTER

a b c 8.12 STO ALPHA A 71 2ND ANGLE 1 90 F 29 2 E 180 - ENTER ALPHA E F 2nd angle 4 ENTER STO Alpha D ENTER

a b c opp adj tan ENTER ALPHA A D STO Alpha B ENTER

a b c ALPHA A + B ENTER

a b c 4.71 STO ALPHA B 38 2ND ANGLE 1 90 F 29 2 E 180 - ENTER ALPHA E F 2nd angle 4 ENTER STO Alpha D ENTER

a b c opp adj tan ENTER ALPHA B D STO Alpha A ENTER

a b c ALPHA A + B ENTER