8.3 NOTES Right Triangle Trigonometry. Warm up Find the value in radical form 1) 2)

Slides:



Advertisements
Similar presentations
Solving Right Triangles Essential Question How do I solve a right triangle?
Advertisements

trigonometry trigonometric ratio sine cosine tangent inverse sine
Trigonometry Right Angled Triangle. Hypotenuse [H]
Sine, Cosine, Tangent, The Height Problem. In Trigonometry, we have some basic trigonometric functions that we will use throughout the course and explore.
Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems
an input/output machine where…
Special Triangles: 45 o -45 o -90 o ° x x Example: 45° 7 7 x x.
Objective: To use the sine, cosine, and tangent ratios to determine missing side lengths in a right triangle. Right Triangle Trigonometry Sections 9.1.
Right Triangle Trigonometry. Objectives Find trigonometric ratios using right triangles. Use trigonometric ratios to find angle measures in right triangles.
60º 5 ? 45º 8 ? Recall: How do we find “?”. 65º 5 ? What about this one?
8.3 Solving Right Triangles
EXAMPLE 1 Use an inverse tangent to find an angle measure
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.
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.
 A trigonometric ratio is a ratio of the lengths of 2 sides of a right triangle.  You will learn to use trigonometric ratios of a right triangle to determine.
Name:__________ warm-up 10-6 Find the missing length. If necessary, round to the nearest hundredth. If c is the measure of the hypotenuse of a right triangle,
Honors Geometry Sections 10.1 & 10.2 Trigonometric ratios
Trigonometry. Basic Ratios Find the missing Law of Sines Law of Cosines Special right triangles
Trigonometry Objectives: The Student Will … Find trigonometric ratios using right Triangles Solve problems using trigonometric ratios HOMEWORK: Sin, cos,
9.5 Trigonometric Ratios Sin-Cos-Tan. What is Trigonometry? Trigonometry (from Greek trigōnon "triangle" + metron "measure") is a branch of mathematics.
9.5 Trigonometric ratios How are trigonometric ratios used to find missing sides of right triangles?
Trig Ratios SohCahToa Sine = Sin A = ___ Sin C = ___.
Math III Accelerated Chapter 13 Trigonometric Ratios and Functions 1.
Warm- Up 1. Find the sine, cosine and tangent of  A. 2. Find x. 12 x 51° A.
Trigonometry v=t2uPYYLH4Zo.
8-3: Trigonometry Objectives To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles To use the sine,
8.2 Trigonometric Ratios. Quick Review: What ways can we solve right triangles? 6 9x ⁰ ⁰ ⁰ 10 x ?
TRIGONOMETRIC RATIOS Chapter 9.5. New Vocabulary  Trigonometric Ratio: The ratio of the lengths of two sides or a right triangle.  The three basic trigonometric.
8-3 Trigonometry Day 2.
Geometry Section 9.5 Trigonometric ratios. The word “trigonometry” comes from two Greek words which mean ___________________ And that is exactly what.
Geometry Warm-Up2/7/12 Find the sine, cosine, and tangent of  A &  B.
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.
TODAY IN GEOMETRY…  Review: SOH CAH TOA  Learning Target 1: 7.4 You will find missing sides of a triangle using TRIG  Independent Practice  Learning.
Chapter 8.3: Trigonometric Ratios. Introduction Trigonometry is a huge branch of Mathematics. In Geometry, we touch on a small portion. Called the “Trigonometric.
8.4 Trigonometric Ratios.
Warm- up What do you remember about right triangles?
Warm-Up Write the sin, cos, and tan of angle A. A BC
Objective: Students will be able to… Use the sine, cosine, and tangent ratios to determine missing side lengths and angle measures in a right triangle.
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.
Warm – up Find the sine, cosine and tangent of angle c.
7.7– Solve Right Triangles
7.5 and 7.6 Trigonometric Ratios The Legend of SOH CAH TOA...Part 1 The Legend of SOH CAH TOA...Part 1.
9.5: Trigonometric Ratios. Vocabulary Trigonometric Ratio: the ratio of the lengths of two sides of a right triangle Angle of elevation: the angle that.
Chapter 5: Trigonometric Functions Whiteboard Practice Session Lessons 1, 2, & 4 Mrs. Parziale.
8.3 Trigonometry SOL: G8 Objectives: The Student Will … Find trigonometric ratios using right Triangles Solve problems using trigonometric ratios.
8.4 Trigonometry- Part I Then: You used the Pythagorean Theorem to find missing lengths in right triangles. Now: 1. Find trigonometric ratios using right.
Speed! Review Game Topic: Trigonometry. 100 pts find sin, cos, tan, csc, sec, and cot.
8-3 Trigonometry Part 2: Inverse Trigonometric Functions.
[8-3] Trigonometry Mr. Joshua Doudt Geometry pg
Chapter 8-3 Trigonometry. Objectives  Students will be able to use the sine, cosine, and tangent ratios to determine side lengths and angle measures.
EXAMPLE 1 Use an inverse tangent to find an angle measure Use a calculator to approximate the measure of A to the nearest tenth of a degree. SOLUTION Because.
Sect. 9.5 Trigonometric Ratios Goal 1 Finding Trigonometric Ratios Goal 2 Using Trigonometric Ratios in Real Life.
How do I use the sine, cosine, and tangent ratios to solve triangles?
Trigonometric Functions
Warm Up (Just give the fraction.) 3. Find the measure of ∠T: ________
7.4 - The Primary Trigonometric Ratios
Trigonometric Ratios The legend of Chief Sohcahtoa.
Trigonometry Welcome to Camp SOH-CAH-TOA
Trigonometric Ratios Obj: Students will be able to use the sine, cosine, and tangent ratios to find side length of a triangle.
Lesson 8-3: Trigonometry
7-5 and 7-6: Apply Trigonometric Ratios
7.5 Apply the Tangent Ratio
Trig Function Review.
Trig Function Review.
Warm – up Find the sine, cosine and tangent of angle c.
Trigonometry for Angle
Reviewing Trig Ratios 7.4 Chapter 7 Measurement 7.4.1
Right Triangles and Trigonometry
Parent-Teacher Conferences TONIGHT!
10-6 Trigonometric Ratios
Presentation transcript:

8.3 NOTES Right Triangle Trigonometry

Warm up Find the value in radical form 1) 2)

Trigonometric Ratios SINE – COSINE – TANGENT – sin <A = cos <A = tan <A = SOH – CAH - TOA

Sine, Cosine, and Tangent. SOH – CAH – TOA Find: tan T = tan U = sin T = sin U = cos T = cos U =

More Practice SOH – CAH – TOA Find: tan T = tan U = sin T = sin U = cos T = cos U =

Indirect Measurement Use right triangle trig to find the height of the tree. Alison walked 125 feet from a tree and measured a 32 degree angle from the ground to the top of the tree. Estimate the height of the tree.

Finding values Find the value to the nearest tenth 1) 2)

Finding values continued Find the value to the nearest tenth 3) 4)

More examples Find the value to the nearest tenth 1) 2)

8.3(a) HW on mathxlforschool.com due Sunday at midnight