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Easy Prigonometry: Sin, Cos, and Tan Graphs

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Scarlett

15/08/2023

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Easy Prigonometry: Sin, Cos, and Tan Graphs

A comprehensive guide to Graph analysis of sin cos tan key features, exploring the fundamental characteristics and behaviors of trigonometric functions.

  • Sine function demonstrates periodic behavior with amplitude between 1 and -1, crossing x-axis at multiples of 180°
  • Cosine function follows similar amplitude patterns but shifted 90° from sine
  • Tangent function exhibits unique characteristics with asymptotes and infinite range
  • All three functions showcase distinct crossing points, turning points, and periodic patterns
  • Understanding these graphs is crucial for advanced trigonometric analysis and applications
...

15/08/2023

63

Prigonometry graphs LOC 05 30 45 60 35 0 15 0.25 75 90 do 45 0.70 105 SUD 150 165 015 0.86 0.96 1 0.96 120 0.86 135 0.70 0.5 10.25 180 0 195

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Page 2: Cosine Function Analysis

The cosine function y=cosxy = cos x shares many similarities with sine but with a phase shift. This section explores the distinctive features of the cosine graph.

Definition: The cosine function is a periodic function with the same period as sine but shifted 90° to the left.

Key characteristics of the cosine function include:

  • X-axis crossings at 90°, 270°, and their multiples
  • Maximum value of 1 occurs at 0° and 360°
  • Minimum value of -1 occurs at 180°

Highlight: The cosine function starts at its maximum value 11 at 0°, unlike sine which starts at 0.

Prigonometry graphs LOC 05 30 45 60 35 0 15 0.25 75 90 do 45 0.70 105 SUD 150 165 015 0.86 0.96 1 0.96 120 0.86 135 0.70 0.5 10.25 180 0 195

View

Page 3: Tangent Function Analysis

This page explores Understanding tanx asymptotes and crossing points and their significance in trigonometric analysis.

Vocabulary: Asymptotes are straight lines that a curve approaches but never actually meets.

The tangent function displays unique characteristics:

  • X-axis crossings at 0°, 180°, 360°
  • Asymptotes occur at 90°, 270°, and their multiples
  • Range extends from negative infinity to positive infinity

Highlight: Unlike sine and cosine, the tangent function has no amplitude restrictions and includes vertical asymptotes.

Example: The tangent value at 45° is 1, while at 90° it approaches infinity, demonstrating the function's unbounded nature.

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3 pages

Easy Prigonometry: Sin, Cos, and Tan Graphs

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Scarlett

@scarletta

A comprehensive guide to Graph analysis of sin cos tan key features, exploring the fundamental characteristics and behaviors of trigonometric functions.

  • Sine function demonstrates periodic behavior with amplitude between 1 and -1, crossing x-axis at multiples of 180°
  • Cosine... Show more

Prigonometry graphs LOC 05 30 45 60 35 0 15 0.25 75 90 do 45 0.70 105 SUD 150 165 015 0.86 0.96 1 0.96 120 0.86 135 0.70 0.5 10.25 180 0 195

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Page 2: Cosine Function Analysis

The cosine function y=cosxy = cos x shares many similarities with sine but with a phase shift. This section explores the distinctive features of the cosine graph.

Definition: The cosine function is a periodic function with the same period as sine but shifted 90° to the left.

Key characteristics of the cosine function include:

  • X-axis crossings at 90°, 270°, and their multiples
  • Maximum value of 1 occurs at 0° and 360°
  • Minimum value of -1 occurs at 180°

Highlight: The cosine function starts at its maximum value 11 at 0°, unlike sine which starts at 0.

Prigonometry graphs LOC 05 30 45 60 35 0 15 0.25 75 90 do 45 0.70 105 SUD 150 165 015 0.86 0.96 1 0.96 120 0.86 135 0.70 0.5 10.25 180 0 195

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Page 3: Tangent Function Analysis

This page explores Understanding tanx asymptotes and crossing points and their significance in trigonometric analysis.

Vocabulary: Asymptotes are straight lines that a curve approaches but never actually meets.

The tangent function displays unique characteristics:

  • X-axis crossings at 0°, 180°, 360°
  • Asymptotes occur at 90°, 270°, and their multiples
  • Range extends from negative infinity to positive infinity

Highlight: Unlike sine and cosine, the tangent function has no amplitude restrictions and includes vertical asymptotes.

Example: The tangent value at 45° is 1, while at 90° it approaches infinity, demonstrating the function's unbounded nature.

Prigonometry graphs LOC 05 30 45 60 35 0 15 0.25 75 90 do 45 0.70 105 SUD 150 165 015 0.86 0.96 1 0.96 120 0.86 135 0.70 0.5 10.25 180 0 195

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Sine Function Analysis

The sine function y=sinxy = sin x demonstrates fundamental periodic behavior across a 360-degree cycle. This page details the comprehensive analysis of Prigonometry sin and cos graph features.

Definition: The sine function is a periodic function that repeats every 360 degrees or 2π radians.

Highlight: Key features of the sine graph include regular x-axis crossings and consistent maximum and minimum values.

The sine function exhibits several crucial characteristics:

  • X-axis crossings occur at 0°, 180°, 360° and their multiples
  • Maximum turning points occur at 90° with a value of 1
  • Minimum turning points occur at 270° with a value of -1

Example: At 30°, sin x = 0.5, demonstrating the gradual increase from 0° to the maximum at 90°.

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This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

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Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

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Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

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This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

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Greenlight Bonnie

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very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

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I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

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THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

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This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

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