Trigonometry Jeopardy 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Radians Degrees Misc Trig Misc.

Slides:

Advertisements

Similar presentations

Determining signs of Trig Functions (Pos/Neg)

Advertisements

Trigonometric Identities

Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 1-1 Angles 1.1 Basic Terminology ▪ Degree Measure ▪ Standard Position ▪ Coterminal Angles.

Trig Graphs. y = sin x y = cos x y = tan x y = sin x + 2.

1 Special Angle Values DEGREES. 2 Directions A slide will appear showing a trig function with a special angle. Say the value aloud before the computer.

Evaluating Sine & Cosine and and Tangent (Section 7.4)

1.5 Using the Definitions of the Trigonometric Functions OBJ: Give the signs of the six trigonometric functions for a given angle OBJ: Identify the quadrant.

Section 5.2 Trigonometric Functions of Real Numbers Objectives: Compute trig functions given the terminal point of a real number. State and apply the reciprocal.

Trig Functions of Special Angles

By: Alvin Nguyen. Unit Circle Jeopardy ConversionsRotation AnglesReference Angles Trig FunctionsWord Problems

Trigonometry/Precalculus ( R )

17-1 Trigonometric Functions in Triangles

Sum and Difference Formulas Section 5.4. Exploration:  Are the following functions equal? a) Y = Cos (x + 2)b) Y = Cos x + Cos 2 How can we determine.

Radian Measure (3.1) JMerrill, 2007 Revised 2000.

Trigonometry Review. Angle Measurement To convert from degrees to radians, multiply byTo convert from radians to degrees, multiply by radians, so radians.

1 7.3 Evaluating Trig Functions of Acute Angles In this section, we will study the following topics: Evaluating trig functions of acute angles using right.

3.1 Radian Measure OBJ: Convert degree measure to radian measure Find trig values of angles expressed in radian measure.

DO NOW Pick up a folder off the table and write your name on the tab. This is the folder you will turn all quizzes and tests into. It will be alphabetically.

4.2 Trigonometric Function: The Unit circle. The Unit Circle A circle with radius of 1 Equation x 2 + y 2 = 1.

Warm up for 8.5 Compare the ratios sin A and cos B Compare the ratios sec A and csc B Compare the ratios tan A and cot B pg 618.

Trigonometric Functions Unit Circle Approach. The Unit Circle Definition.

0.2: Trignometric Functions Objective: Understand relationships between angles and sides of right triangles Review trig functions of special & quadrantal.

Trigonometry Review Game. Do not use a calculator on any of these questions until specified otherwise.

Right Triangle Trigonometry

13.2 – Define General Angles and Use Radian Measure.

1 A unit circle has its center at the origin and a radius of 1 unit. 3.3 Definition III: Circular Functions.

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.

Warm-Up Find the following. 1.) sin 30 ◦ 2.) cos 270 ◦ 3.) cos 135 ◦

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.

Section 7.5 Unit Circle Approach; Properties of the Trigonometric Functions.

Aim: How do we define radians and develop the formula Do Now: 1. The radius of a circle is 1. Find, in terms of the circumference. 2. What units do we.

Do Now: Graph the equation: X 2 + y 2 = 1 Draw and label the special right triangles What happens when the hypotenuse of each triangle equals 1?

Right Triangle Trigonometry

Chapter 14 Day 5 Trig Functions of Any Angle.  The of a circle is a portion of the of a circle. arc circumference.

14.2 The Circular Functions

_______º _______ rad _______º ________ rad _______º _______ rad _______º _______ rad _______º _______ rad ______º _______ rad Unit Circle use.

Conversion of Radians and Degrees Degree Radian Radians Degrees Example 1Converting from Degrees to Radians [A] 60° [B] 30° Example 2Converting from Radians.

Sin, Cos, Tan with a calculator  If you are finding the sin, cos, tan of an angle that is not a special case (30, 60, 45) you can use your calculator.

Pg. 362 Homework Pg. 362#56 – 60 Pg. 335#29 – 44, 49, 50 Memorize all identities and angles, etc!! #40

4.3 Trigonometry Extended: The Circular Functions

Trigonometry Exact Value Memory Quiz A Trigonometry Exact Value Memory Quiz A.

Point P(x, y) is the point on the terminal arm of angle ,an angle in standard position, that intersects a circle. P(x, y) x y r  r 2 = x 2 + y 2 r =

Chapter 6 - Trigonometry Chapter Review Presentation.

Radian Measure One radian is the measure of a central angle of a circle that intercepts an arc whose length equals a radius of the circle. What does that.

6.1 Angles and Radian Measure Objective: Change from radian to degree measure and vice versa. Find the length of an arc given the measure of the central.

Review Trig Functions. Vocab 1) The number of radians in one revolution is _______. 2) Sine and cosine are both negative in the ____ quadrant.

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.

Trigonometry Section 4.2 Trigonometric Functions: The Unit Circle.

Trigonometry Test Review!. DefinitionsGiven PointDetermine Quadrant(s) ConstraintsReference Angles Bonus Question: 5000 pts.

Bellringer 3-28 What is the area of a circular sector with radius = 9 cm and a central angle of θ = 45°?

6.1 – 6.5 Review!! Graph the following. State the important information. y = -3csc (2x) y = -cos (x + π/2) Solve for the following: sin x = 0.32 on [0,

(0, 1 ) (1,0)  (r,0) (0,r) Circle of radius r. (0,1) (1,0)  (r,0) (0,r) (cos ,sin  ) 1.

4.3 Right Triangle Trigonometry Objective: In this lesson you will learn how to evaluate trigonometric functions of acute angles and how to use the fundamental.

Trigonometric Ratios of Any Angle

Trig Functions – Part Pythagorean Theorem & Basic Trig Functions Reciprocal Identities & Special Values Practice Problems.

The Unit Circle and Circular Functions Trigonometry Section 3.3.

Basic Trigonometry An Introduction.

Trigonometry Review.

Warm Up Use trigonometric identities to simplify: csc ∙tan

Do Now Find the value of each expression. Sin 60 ° Cos 30 ° Tan 270 °

REVIEW for QUIZ Grade 12.

47.75⁰ Convert to radians: 230⁰.

Trigonometry Terms Radian and Degree Measure

Unit 7B Review.

4.2 Trigonometric Function: The Unit circle

Intro to trig review.

2) Find one positive and one negative coterminal angle to

Sec 6.2 Trigonometry of Right Triangles

Review for test Front side ( Side with name) : Odds only Back side: 1-17 odd, and 27.

Solve the right triangle.

Presentation transcript:

Trigonometry Jeopardy

Radians Degrees Misc Trig Misc Trig The Chart The Chart Reference Angles Short Answer

The definition The definition of a radian of a radian What is a way to measure an What is a way to measure an angle, where the intercepted angle, where the intercepted Arc is equal to the radius Arc is equal to the radius Radians-Degrees for 100

The radian measure for The radian measure for What is approximately What is approximately 4.22 radians radians. Radians-Degrees for 200

The new angle The new angle measure for 2.71 measure for 2.71 Radians-Degrees for 300 What is What is approximately approximately 155 0

The exact value The exact value for for What is 7π/6 What is 7π/6 Radians-Degrees for 400

The exact value The exact value for 5π/9 for 5π/9 What is What is Radians-Degrees for $500

sec θ equals this sec θ equals this What is 1/cos θ What is 1/cos θ Misc Trig for 100

This is how many This is how many degrees are in one degrees are in one radian. Misc Trig for 200 What is approximately

The unit in which The unit in which radians are measured radians are measured What is no unit What is no unit Misc Trig for 300

tan θ < 0, and tan θ < 0, and cos θ > 0 means cos θ > 0 means this quadrant this quadrant What is IV What is IV Misc Trig for 400

The sec θ, if the The sec θ, if the sin θ = -2/5, and sin θ = -2/5, and cot θ > 0 cot θ > 0 What is -5/√(21) What is -5/√(21) Misc Trig for 500

cos (π/3) cos (π/3) What is 1/2 What is 1/2 CHART for 100

Sin 90 0 Sin 90 0 What is 1 What is 1 CHART for 200

tan (π/6) tan (π/6) What is √(3)/3 What is √(3)/3 CHART for 300

sec π/4 sec π/4 What is 2/√(2) What is 2/√(2) CHART for 400

csc (-π/3) csc (-π/3) What is -2/√(3) What is -2/√(3) CHART for 500

What is 38 0 What is 38 0 Reference Angles for 100

7π/3 What is What is π/3 or 60 0 π/3 or 60 0 Reference Angles for 200

cos cos What is -1/2 What is -1/2 Reference Angles for 300

csc csc What is 2/√(3) What is 2/√(3) Reference Angles for 400

cot 11π/2 cot 11π/2 Reference Angles for 500 What is 0

In radians, the formula In radians, the formula for the length of for the length of an arc. an arc. What is s = r*θ What is s = r*θ Short Answer for 100

The arc length if the The arc length if the radius is 24 in, and the radius is 24 in, and the angle is 1.67 angle is 1.67 What is 40 in What is 40 in Short Answer for 200

Given the length of an Given the length of an arc is 4.8 cm, the radius arc is 4.8 cm, the radius is 3 cm, this is the angle is 3 cm, this is the angle measurement in radians. measurement in radians. What is 1.6 What is 1.6 Short Answer for 300

The height of a tower The height of a tower Is 270 ft. You see the top at Is 270 ft. You see the top at an angle of This is the an angle of This is the Hypotenuse. What is 363 ft What is 363 ft Short Answer for 400

The decimal The decimal approximation for approximation for sec (5π/7) sec (5π/7) What is -1.6 What is -1.6 Short Answer for 500