The Tangent Ratio Date: Name:___ a. Using a protractor draw a right triangle to scale with angle measures 20  & 70  Measure.

Slides:

Advertisements

Similar presentations

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

Advertisements

How to construct an angle without a protractor

Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems

Introduction to Trigonometry This section presents the 3 basic trigonometric ratios sine, cosine, and tangent. The concept of similar triangles and the.

5/5/ : Sine and Cosine Ratios 10.2: Sine and Cosine Expectation: G1.3.1: Define the sine, cosine, and tangent of acute angles in a right triangle.

Drill Find the missing side length of right triangle ABC. Assume side C is the hypotenuse. 1.A = 7, B = 3 2.A = 9, C = 15.

6/10/2015 8:06 AM13.1 Right Triangle Trigonometry1 Right Triangle Trigonometry Section 13.1.

Jeopardy Trig fractions Solving For Angles Solving for Sides Words are Problems?! Other Right Stuff $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.

Warm-up! 1. Graph one period in the positive and negative direction for y = -2cos(3x) – Solve the triangle given b = 16, a = 10, and angle A = 30.

Let’s Play What have you learned about Analytic Geometry?

Calculating Sine, Cosine, and Tangent *adapted from Walch Education.

Solving Right Triangles

Jeopardy Trig fractions Solving For Angles Solving for Sides Other Trig Stuff $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

8.3 Solving Right Triangles

EXAMPLE 1 Use an inverse tangent to find an angle measure

Geometry Warm-Up Solve for the missing side (Solve for x): Set up ratio, last step, plug into calculator 52° 32 x 33° 8x 13° x11.

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.

Trigonometry and angles of Elevation and Depression

Trigonometric RatiosName: Section 13-6 & 13-7Group: 1. Complete each definition: In right triangle ABC with right angle C, the sine of  A is written as.

Angles All about Sides Special Triangles Trig Ratios Solving Triangles

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.

Geometry Notes Lesson 5.3B Trigonometry

 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.

The Basics State the RatioSidesAnglesReal-Life

Friday, February 5 Essential Questions

Finding an angle. (Figuring out which ratio to use and getting to use the 2 nd button and one of the trig buttons. These are the inverse functions.) 5.4.

Basic Trigonometry SineCosineTangent. The Language of Trig The target angle is either one of the acute angles of the right triangle. 

Geometry tan A === opposite adjacent BC AC tan B === opposite adjacent AC BC Write the tangent ratios for A and B. Lesson 8-3 The Tangent Ratio.

Warm- Up 1. Find the sine, cosine and tangent of  A. 2. Find x. 12 x 51° A.

9-1 & 9-2 Trigonometry Functions. Vocabulary Examples 1) Write the ratios for Sin A Cos A Tan A 2) Write the ratios for Sin A Cos A Tan A.

Section 9.8 Trigonometric Ratios Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle:

Chapter 7.7 Notes: Solve Right Triangles Goal: You will use inverse tangent, sine, and cosine ratios to determine the unknown angle measures of right triangles.

Warm – up Given the following triangle find the missing side lengths

Section 9.8 Trigonometric Ratios Trigonometric Ratio A ratio of the lengths of two sides of a right triangle.

Trigonometric Ratios Lesson Table of Trigonometric Ratios The table shows decimal approximations of the ratios for their angles. For example, sin.

1. If sin  = 5/12, then find cos (90 –  ). (Hint draw a picture, label it, then simplify your fraction answer.) 2. If tan  = 3/7, then find tan (90.

CCII Unit 5 Warm-Ups. Warm-Ups (Monday 11/17) a) Describe the transformation from the parent graph b) Domain:c) Range: d) Vertex:e) Axis of Symmetry:

Raffle Game , 4.8 Review. Problem 1 Convert to degrees.

Solving Right Triangles Use trigonometric ratios to find angle measures in right triangles and to solve real-world problems.

Warm up 1. Use the unit circle to find each value: – a. cos (-180 o ) – b. tan(45 o ) 2. Find the values of the six trig functions for angle in standard.

Ch 8 Review Questions. Pythagorean Theorem Find the missing side 15 x 30.

Right Triangle Trigonometry

7.4 Trigonometry What you’ll learn:

Radical Expressions and Equations. Simplifying Radicals.

MATH 110 UNIT 1 – TRIGONOMETRY Part A. Activity 7 – Find Missing Sides To find an unknown side on a triangle, set up our trigonometric ratios and use.

TRIGONOMETRY Sec: 8.3 Sol: G.8  You can use trigonometric ratios to find missing measures of sides AND angles of right triangles.  A ratio of the lengths.

A C M 5 2. CCGPS Geometry Day 17 ( ) UNIT QUESTION: What patterns can I find in right triangles? Standard: MCC9-12.G.SRT.6-8 Today’s Question: How.

8.4 Trigonometry In Right triangles. A. Express sin L, cos L, and tan L as a fraction and as a decimal to the nearest ten thousandth.

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.

Solving Equations with Trig Functions. Labeling a right triangle A.

A C M If C = 20º, then cos C is equal to: A. sin 70 B. cos 70 C. tan 70.

9.4 The Tangent Ratio. The Tangent Ratio Example 1: Finding Tangent Ratios Find tan R and tan S. Write as a fraction and a decimal rounded to 4 places.

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

9.2 Notes: Solving Right Triangles. What does it mean to solve a right triangle? If we are asked to solve a right triangle, we want to know the values.

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.

Angles of Elevation & Angles of Depression

Angles of Elevation and Depression

Finding angle measures using trigonometry

Lesson 7.7, For use with pages

NOTES 9.10 Trigonometric Ratios.

Right Triangle Trigonometry

Angles of Elevation and Depression

Warm – up Find the sine, cosine and tangent of angle c.

Geometry Section 7.7.

Obj: Use tangent to find the length of a side of a right triangle

Trigonometric Ratios Geometry.

Right Triangles and Trigonometry

10-6 Trigonometric Ratios

Presentation transcript:

The Tangent Ratio Date:________________ Name:___________________ a. Using a protractor draw a right triangle to scale with angle measures 20  & 70  Measure and label the length of each side to the nearest tenth of a centimeter. b. Find each trig ratio sin 20 =sin 70 = cos 20 =cos 70 = tan 20 = tan 70 = c.Using a calculator, convert your ratios about to decimal. Round to the nearest thousandth and record your results below. sin 20 =sin 70 = cos 20 =cos 70 = tan 20 = tan 70 = d.Use a calculator to find each value. Round to the nearest thousandth and record your results below. sin 20 =sin 70 = cos 20 =cos 70 = tan 20 = tan 70 = Do Now:

Gertie the gopher is looking at a tree that is 100 feet away from her hole. If the angle of elevation between Gertie’s hole and the top of the tree is 23°, how tall is the tree? 1.Find the measurement of the missing side of the triangle to the nearest tenth of a centimeter. a. b. 2.

Find the measurement of the missing side of the triangle to the nearest tenth of a centimeter in two different ways. From the top of a lighthouse 165 feet above the water the angle of depression of a ship is 13°. Find the distance from the ship to the light house 3. 4.

6. Calculate m  J to the nearest degree 7a. Graph the line 2x +5y = 20 Find the measures of the angles of the triangle made by the line and the x- & y- axes in the first quadrant 5. Calculate m  A to the nearest degree b.