Assignment #1: page 933 #’s 13-23,30-32,(38)

Slides:



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

Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems
The Inverse Trigonometric Functions Section 4.2. Objectives Find the exact value of expressions involving the inverse sine, cosine, and tangent functions.
Write the following trigonometric expression in terms of sine and cosine, and then simplify: sin x cot x Select the correct answer:
Section Review right triangle trigonometry from Geometry and expand it to all the trigonometric functions Begin learning some of the Trigonometric.
TRIGONOMETRY OF RIGHT TRIANGLES. TRIGONOMETRIC RATIOS Consider a right triangle with as one of its acute angles. The trigonometric ratios are defined.
7.3 Trigonometric Functions of Angles. Angle in Standard Position Distance r from ( x, y ) to origin always (+) r ( x, y ) x y  y x.
Pre calculus Problem of the Day Homework: p odds, odds, odds On the unit circle name all indicated angles by their first positive.
Textbook: Chapter 13. ** Make sure that your calculator is set to the proper mode**
4.3 Right Triangle Trigonometry
6/10/2015 8:06 AM13.1 Right Triangle Trigonometry1 Right Triangle Trigonometry Section 13.1.
Right Triangle Trigonometry. Objectives Find trigonometric ratios using right triangles. Use trigonometric ratios to find angle measures in right triangles.
5 Trigonometric Functions Copyright © 2009 Pearson Addison-Wesley.
Right Triangle Trigonometry Find the value of trigonometric functions of acute angles Use the complementary angle theorem Solve right triangles Solve applied.
8.3 Solving Right Triangles
Trigonometry Day 2 Need Class Sets (1/2 set for sleeves) for today: Applications for Trig. – Angles of Elev. & Depr.
Solving Trig Problems Precal – Sections Reference Angles p. 280 Associated with every angle drawn in standard position there is another angle.
What you will learn How to use the basic trigonometric identities to verify other (more complex) identities How to find numerical values of trigonometric.
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.
Sec 6.2 Trigonometry of Right Triangles
4.3 Right Triangle Trigonometry Pg. 484 # 6-16 (even), (even), (even) –Use right triangles to evaluate trigonometric functions –Find function.
12-2 Trigonometric Functions of Acute Angles
Right Triangle Trigonometry
Chapter 4 Trigonometric Functions Right Triangle Trigonometry Objectives:  Evaluate trigonometric functions of acute angles.  Use fundamental.
TRIG FUNCTIONS OF ACUTE ANGLES Section 12-2 Pages
Bell Work Find all coterminal angles with 125° Find a positive and a negative coterminal angle with 315°. Give the reference angle for 212°.
Trig Ratios SohCahToa Sine = Sin A = ___ Sin C = ___.
TOP 10 Missed Mid-Unit Quiz Questions. Use the given function values and trigonometric identities to find the indicated trig functions. Cot and Cos 1.Csc.
Math III Accelerated Chapter 13 Trigonometric Ratios and Functions 1.
2.1 Six Trig Functions for Right Triangles
Sec 6.2 Trigonometry of Right Triangles Objectives: To define and use the six trigonometric functions as ratios of sides of right triangles. To review.
Aim: The Six Trigonometric Functions Course: Alg. 2 & Trig. Aim: What does SOHCAHTOA have to do with our study of right triangles? Do Now: Key terms:
Geometry 8-2 Trigonometric Ratios. Vocabulary  A trigonometric ratio is a ratio of two sides of a right triangle.
Section 7.5 Unit Circle Approach; Properties of the Trigonometric Functions.
Warm – up Given the following triangle find the missing side lengths
Geometry Section 9.5 Trigonometric ratios. The word “trigonometry” comes from two Greek words which mean ___________________ And that is exactly what.
4.2 Trigonometric Functions (part 2) III. Trigonometric Functions. A) Basic trig functions: sine, cosine, tangent. B) Trig functions on the unit circle:
Right Triangle Trigonometry
Graphs of the Trig Functions Objective To use the graphs of the trigonometric functions.
14.2 The Circular Functions
Geometry 8-2 Trigonometric Ratios A trigonometric (trig) ratio is a ratio of two sides of a right triangle. Use trig ratios when the right triangle only.
Section 5.3 Evaluating Trigonometric Functions
Warmup Find the lengths of the sides marked with a variable in each problem below. Show work! 48 y x 42 x y  y.
UNIT 5: TRIGONOMETRY Final Exam Review. TOPICS TO INCLUDE  Pythagorean Theorem  Trigonometry  Find a Missing Side Length  Find a Missing Angle Measure.
1.A ladder is leaning against a wall. The top of the ladder is 15ft up the wall. If the angle between the base of the ladder and the ground is 43 degrees,
4.2 Trig Functions of Acute Angles. Trig Functions Adjacent Opposite Hypotenuse A B C Sine (θ) = sin = Cosine (θ ) = cos = Tangent (θ) = tan = Cosecant.
Warm – up Find the sine, cosine and tangent of angle c.
Bellringer 3-28 What is the area of a circular sector with radius = 9 cm and a central angle of θ = 45°?
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.
Section 4.2 The Unit Circle. Has a radius of 1 Center at the origin Defined by the equations: a) b)
Trigonometry Section 8.4 Simplify trigonometric expressions Reciprocal Relationships sin Θ = cos Θ = tan Θ = csc Θ = sec Θ = cot Θ = Ratio Relationships.
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 Mr. Joshua Doudt Geometry pg
Right Triangle Trigonometry Identify the parts of a right triangle hypotenuse opposite adjacent an acute angle in the triangle ''theta'' θ.
Algebra 2 cc Section 7.1 Solve right triangles “Trigonometry” means triangle measurement and is used to solve problems involving triangle. The sides of.
Reviewing Trigonometry Angle Measure Quadrant Express as a function of a positive acute angle Evaluate Find the angle Mixed Problems.
4.4 Trig Functions of Any Angle Objectives: Evaluate trigonometric functions of any angle Use reference angles to evaluate trig functions.
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
12-3 Trigonometric Functions of General Angles
Warm Up The terminal side of angle θ in standard position lies on the given line in the given quadrant. Find sin θ, cos θ, and tan θ. 7.
Right Triangle Ratios Chapter 6.
Right Triangle Trigonometry
TrigonoMetry and Calculators
Sec 6.2 Trigonometry of Right Triangles
Introduction to Trigonometric Functions
Review for test Front side ( Side with name) : Odds only Back side: 1-17 odd, and 27.
Presentation transcript:

Assignment #1: page 933 #’s 13-23,30-32,(38)

Find the value of the sine, cosine, and tangent functions for ϴ. 13) 14) 15)

Use a trigonometric function to find the value of x. 16) 17) 18)

19) Today, the Great Pyramid in Egypt is not as tall as when it was originally built. The square base of the pyramid has a side length of 230 m, and the sides of the pyramid meet the base at an angle of 52˚. A) What was the original height of the pyramid to the nearest meter? 147 m B) What was the original slant height of the pyramid to the nearest meter? 187 m

20) The top of the Matagorda Island Lighthouse in Texas is about 90 ft above sea level. The angle of elevation from a fishing boat to the top of the lighthouse is 10˚. A) To the nearest foot, what is the distance d between the boat and the base of the lighthouse? 510 ft B) After the boat drifts for half an hour, the angle of elevation has decreased to 4.5˚. To the nearest foot, how much farther has the boat moved from the lighthouse? 633 ft

Find the values of the six trig functions for ϴ.

30) Which of the following is equal to cos 27˚? A) csc 63˚ B) sec 63˚ C) tan 63˚ D) sin 63˚

31) Which expression represents the length of ? F) 12cot27˚ G) 12csc27˚ H) 12sin27˚ J) 12tan27˚

32) If , what is ? A) B) C) D)