Pop Quiz! PUT EVERYTHING OFF YOUR DESK!. Homework Log Mon 2/22 Lesson 7 – 3.

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.
7.6 Right Triangles. Ex 1) Solve the right triangle that has c = 33 and B = 22  B A Sketch the  A, B, C = angles a, b, c = sides (opp the  ) C All.
Finding Exact Values of Trig Ratios. Special Right Triangles
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)
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
SPECIAL USING TRIANGLES Computing the Values of Trig Functions of Acute Angles.
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.
Algebra 2 Lesson 1: Right Angle Trig.. Warm Up Given the measure of one of the acute angles in a right triangle, find the measure of the other acute angle.
Pg. 324 Homework Memorize familiar radian measure angles Pg. 323#2 – 52 even Pg. 361#1 – 13 all.
Right Triangle Trigonometry
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.
Geometry A BowerPoint Presentation.  Try these on your calculator to make sure you are getting correct answers:  Sin ( ) = 50°  Cos ( )
Pg. 324 Homework Memorize familiar radian measure angles Pg. 361#1 – 13 all #1QIII#3QII#5QI #7408° #9345° #11415°, 775°, -305°, -665° #1350°, 770°, -510°,
Right Triangle Trigonometry. Unit Circle Definitions of the 6 Trig. Functions… sin = y cos = x tan = yxyx csc = 1y1y sec = 1x1x cot = xyxy.
13.1 – Use Trig with Right Triangles
2/9/12 Sect. 7.4 Trigonometric (Trig) Ratios Notes: SWBAT compute trigonometric ratios- sine, cosine & tangent, building blocks of science & engineering.
3.6 Functions of Special & Quadrantal Angles. The key  DRAW THE ANGLE & TRIANGLE!! Quadrantal angle = angle with terminal side on x- or y-axis Ex 1)
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.
Warm – up #1 xy V( 0 2). Homework Log Wed 11/18 Lesson 4 – 1 Learning Objective: To graph circles Hw: #402 Pg. 220 #9, 10, 14 – 36 even,
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 =
Lesson 13.1 Right Triangle Trigonometry
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.
Unit 7: Right Triangle Trigonometry
Pg. 323/361 Homework Pg. 362 #39 – 47 odd, 51, 52 Memorize Trig. Info #2QIV#4QIII#6QIII #8-250°#10470° #12338°, 698°, -382°, -742°#14210°, 570°, -510°,
Trigonometry Section 4.3 Right Triangle Trigonometry.
Trigonometry: The study of triangles (sides and angles) physics surveying Trigonometry has been used for centuries in the study.
Section 13.1.a Trigonometry. The word trigonometry is derived from the Greek Words- trigon meaning triangle and Metra meaning measurement A B C a b c.
Warm – up #2 1. Find 2 (+) and 2 (–) angles that are coterminal to 120 o. What quadrant is it in? 120 o + 1(360 o ) = 120 o + 2(360 o ) = 120 o + (–1)(360.
Homework Log Fri 2/12 Lesson 7 – 1 Learning Objective: To find angle measurements Hw: #701 Pg. 385 #1 – 39 odd.
7.3 More on Trig Functions. Example 1 Determine exact values of trig functions of angle that terminates in QIV and 17 8 Q IV Q IV tells us its (–)  -15.
Pop Quiz! PUT EVERYTHING OFF YOUR DESK!. Homework Log Wed 2/24 Lesson 7 – 4 Learning Objective: To use fundamental properties of trig to find sides Hw:
Pop Quiz! PUT EVERYTHING OFF YOUR DESK!. Homework Log Fri 2/19 Lesson 7 – 3.
Y x Warm – up # xy
Ratios for Right Angle Triangles.  Sine = opposite hypotenuse  Cosine = opposite hypotenuse  Tangent = opposite adjacent Sin = OCos = ATan = O H H.
Warm – up #12 x 2 – (sum)x + product = 0 (3)( ) (3)
13.1 Right Triangle Trigonometry. Definition  A right triangle with acute angle θ, has three sides referenced by angle θ. These sides are opposite θ,
Right Triangle Trigonometry
The Primary Trigonometric Ratios
Rotational Trigonometry: Trig at a Point
Homework Log Mon 5/9 Lesson 8 – 7 Learning Objective:
Right Triangle Trigonometry
Pythagoras’ theorem Take a right-angled triangle with sides of 5cm, 4cm and 3cm. Draw squares off each side of the triangle.
5.2 Trig Ratios in Right Triangles
Right Triangle Math I. Definitions of Right Triangle Trigonometric Functions. A) 1) opp = opposite side, adj = adjacent side, hyp = hypotenuse 2) SOH.
Objectives Find the sine, cosine, and tangent of an acute angle.
Warm Up (Just give the fraction.) 3. Find the measure of ∠T: ________
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
A 5 4 C 3 B 3 5 Sin A =.
Got ID? to T2.1a To define and apply the Six Trigonometric Functions to Standard Angles.
Homework Log Fri 4/22 Lesson 8 – 4 Learning Objective:
Test Review.
Rotational Trigonometry: Trig at a Point
9.2 Soh-Cah-Toa; Setting Up Problems
Lesson: Introduction to Trigonometry - Sine, Cosine, & Tangent
Review of Essential Skills:
Trig Function Review.
Trigonometry To be able to find missing angles and sides in right angled triangles Starter - naming sides.
Section 5.5 – Right Triangle Trigonometry
RIGHT OPPOSITE HYPOTENUSE ADJACENT HYPOTENUSE OPPOSITE ADJACENT
All about right triangles
Geometry Right Triangles Lesson 3
Homework Log Tues 5/3 Lesson 8 – 5 Learning Objective:
Trigonometry Olivia Miller.
Presentation transcript:

Pop Quiz! PUT EVERYTHING OFF YOUR DESK!

Homework Log Mon 2/22 Lesson 7 – 3

2/22/16 Lesson 7 – 3 Special Angles 45 Quadrantal Advanced Math/Trig

Learning Objective

Isosceles Right Triangle 45 o angles w/ hypotenuse = 1 2 sides are equal 45 o 1

SOH – CAH – TOA Memorize!! 45 o Opp Adj Hyp reciprocals 1

180 o (–1, 0) reciprocals x = –1 y = 0 r = 1 Memorize!! = 0 = –1 = 0 = undef = –1 = undef

Quadrantal Angles 180 o (–1, 0) 0 o, 90 o, 180 o, 270 o 90 o (0, 1) 0o0o (1, 0) 270 o (0, -1) Memorize!! 0

1. Find the related angle of 237 o 237 o – 180 o = x y 237 o 180 o 270 o 57 o (+) acute

2. Find the exact values of the trig functions of 135 o x y 135  Reference  for 135 o is 45 o 135 o is in QII, x is (–), y is (+) 45 o 1

Find the exact values of the trig functions

Ticket Out the Door

Homework #706 Pg – 50 all, 60, 64, 65 & Memorize 45  & Quadrantal Angle Trig Values

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.