Master the Unit Circle - Your Guide to Trigonometry

Jul 07, 2025

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Learn the fundamentals of trigonometry with our comprehensive guide to the unit circle. Understand angles, functions, and key concepts effortlessly. Perfect for students and enthusiasts alike.

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Master the Unit Circle - Your Guide to Trigonometry

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Unit Circle

THE UNIT CIRCLE

THE UNIT CIRCLE. A circle with center at (0, 0) and radius 1 is called a unit circle. . The equation of this circle would be . (0,1). (-1,0). (1,0). (0,-1). So points on this circle must satisfy this equation. .

1.18k views • 24 slides

The Unit Circle

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Unit Circle Trigonometry

Pre-Calculus Day 39. Unit Circle Trigonometry. What You Should Learn. Identify a unit circle and describe its relationship to real numbers. Evaluate trigonometric functions using the unit circle. Plan for the day…. Review of homework Quiz Quick Review Let’s build the Unit Circle…

1.27k views • 24 slides

UNIT CIRCLE QUIZ!

UNIT CIRCLE QUIZ!. You have 15 minutes to complete the quiz. When you are done, raise your hand. Work on the activity sheet until everyone else is finished. . LG 1-3 Evaluating Trigonometric Functions. SIN E. COS INE. TAN GENT. SOH CAH TOA. csc. sec. cot. CHO SHA CAO. ??.

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The Unit Circle

The Unit Circle. PreCalculus. Right now…. Get a protractor, scissors, and one copy of each circle (blue, green, yellow, white). Sit down and take everything BUT that stuff & your writing utensils(4 different colors if you have them) off your desk. Cut out the blue, green, and yellow circles.

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THE UNIT CIRCLE

THE UNIT CIRCLE. Lesson 4.2. A circle with center at (0, 0) and radius 1 is called a unit circle. . The equation of this circle would be . (0,1). (-1,0). (1,0). (0,-1).

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The Unit Circle

The Unit Circle. Co -functions. Aim: Use complementary angles in order to find equivalent co-functions. Remember. Aim: Use complementary angles in order to find equivalent co-functions. co functions. Functions that co mplement eachother : sineθ = co sine(90° – θ )

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Unit Circle

( 1 , √3 ) 2 2. ( √2 , √2 ) 2 2. 60˚. 45˚. ( √3 , 1 ) 2 2. 30˚. Unit Circle. Use the Unit Circle to find cos 135. Reference angle: 45 Coordinate: x Sign: - Answer: -√2 2. Use the Unit Circle to find sin 315.

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The Unit Circle

The Unit Circle. Quadrant I. Aim: Use the unit circle in order to find the exact value of a trigonometric expression. RememBer. Find the length of the missing side:. 1. y. 1. 1. y. y. x. x. x. Aim: Use the unit circle in order to find the exact value of a trigonometric expression.

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Unit Circle

Unit Circle. Activity. Use your protractor to measure the angles whose terminal sides lie along the hash marks of the unit circle Then, cut out the two triangles at the bottom of the page. Activity.

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Unit Circle Trig

Unit Circle Trig. TS : Making decisions after reflection and review Warm Up: Test your unit circle knowledge. You have 3 minutes. (This is a generous amount of time for something that is supposed to be memorized.). Definition of Trig Functions.

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Lit Circle Unit

Lit Circle Unit. The How-to’s and the Whyfore’s. What is a Lit Circle. A lit circle is a small group of people dedicated to one book and the complete mastery of all ideas and concepts within

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THE UNIT CIRCLE

THE UNIT CIRCLE. Initially Developed by LZHS Advanced Math Team (Keith Bullion, Katie Nerroth, Bryan Stortz) Edited and Modified by Jeff Bivin Lake Zurich High School jeff.bivin@lz95.org. Jeff Bivin -- LZHS. From Geometry. 2s. 60 o. s. 30 o. 90 o. if 2s = 1. 60 o. s = ½. 90 o.

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THE UNIT CIRCLE

THE UNIT CIRCLE. From Geometry. if 2s = 1. 2s. 60 o. s. s = ½. 30 o. 90 o. (0, 1). 60 o. 30 o. 90 o. (1, 0). (-1, 0). (0, -1). (0, 1). 60 o. 150 o. 30 o. 90 o. (1, 0). (-1, 0). (0, -1). (0, 1). 60 o. 210 o. 30 o. 90 o. (1, 0). (-1, 0). (0, -1). (0, 1). 60 o.

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The Unit Circle

The Unit Circle. Part II (With Trig!!) MSpencer. 90°,. 270°,. Multiples of 90°,. 180°, . 360°, 2 . 0°, 0. 90°,. QII 90° <  < 180° <  < . Q I 0° <  < 90° 0 <  <. QIV 270° <  < 360° <  < 2. QIII 180° <  < 270°  <  <. 270°,.

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The Unit Circle

The Unit Circle. Unit Circles : A unit circle typically has three features:. A coordinate plane. A circle with its center at the origin and a radius of 1 unit. An angle in standard position that intersects the circle. Standard Position. Of an angle when the vertex is at the origin.

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THE UNIT CIRCLE

THE UNIT CIRCLE. A circle with center at (0, 0) and radius 1 is called a unit circle. Remember from College Algebra that the equation of this circle would be. (0,1). (-1,0). (1,0). (0,-1). So points on this circle must satisfy this equation.

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THE UNIT CIRCLE

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THE UNIT CIRCLE

THE UNIT CIRCLE. Our goal in todays lesson will be to build the parts of this unit circle. You will then want to get it memorized because you will use many facts from this to answer other Pre Calc and Calculus questions. A circle with center at (0, 0) and radius 1 is called a unit circle.

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The Unit Circle

The Unit Circle. Part I MSpencer. r = 1. r = 1. r = 1. r = 1. The Unit Circle. It is called a unit circle because the radius is one unit. r = 1. All the Way Around. One way to measure angles is with degrees . One revolution around the unit circle constitutes 360°.

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The Unit Circle

The Unit Circle. Reciprocal functions. Remember. Complete the following diagrams. Be sure to include radian measures & tangent values. Meet the Reciprocals!!!. 1. = secant. o rigin  tangent. = cosecant. o rigin  cotangent. = cotangent. t angent from x-axis. t angent from y-axis.

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The Unit Circle

The Unit Circle. Essential Questions. How do we convert angle measures between degrees and radians? How do we find the values of trigonometric functions on the unit circle?. Holt McDougal Algebra 2. Holt Algebra 2. Trigonometric Functions and Reference Angles.

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