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Android writing help

Android writing help

Definition of the sine and cosine of an angle x 

The definitions of the sine, cosine, tangent and cotangent functions can now be formulated for any circle or for the unit circle (i.e. a circle with radius r = 1 unit of length).

With respect to the unit circle - do my homework for money , the following definitions (equivalent to the definitions on any circle) apply:

The ordinate v of the point belonging to the angle x

P(u; v) on the unit circle is called sine of the angle x:

sin x= (average)PQ/(average)OP=v/1=v (x∈[0; 2π]).

The abscissa u of the point P belonging to the angle x on the unit circle is called cosine of the angle x:

cos x=(average)OQ/(average)OP=u/1=u (x∈[0; 2π])

The unique assignment x→sin x is called the sine function, and the unique assignment x→cos x is called the cosine function accordingly.

If we assume that the second leg of the angle x can be rotated around the origin as often as desired and, moreover, in the mathematically positive as well as in the mathematically negative sense of rotation - https://domyhomework.club/math-problem-solver/ , the concept of angle can be extended:

Each additional full rotation increases the angle by 2π or 360° (for counterclockwise rotation) or -2π or -360° (for clockwise rotation).

Thus, the entire set R of real numbers can be used as the domain of definition of the sine and cosine functions.

Thus, for example, it is valid:

The definition of the tangent of an angle x can be done immediately using the sine and cosine of this angle - microeconomics homework help , but also with reference to the unit circle and the tangent to it at the point (1; 0).

For any angle x (x∈R and x ≠ (2k+1)π/2, k∈Z), the quotient of the sine and cosine of this angle is called the tangent of the angle x.

The unique assignment x→ tan x is called the tangent function.

Correspondingly, the quotient of the cosine and the sine of an angle x (x∈R and x≠k π, k∈Z) is called the cotangent of x and the unique assignment x→ cot x is called the cotangent function.

Sine, cosine, tangent and cotangent functions are special angle functions or trigonometric functions.

3 REPLIES 3

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Re: Android writing help

  1. User Interface (UI) Consistency:

    • Android: Follow Material Design guidelines for a cohesive and visually appealing UI.
    • iOS: Adhere to the Human Interface Guidelines (HIG) for a consistent and intuitive user experience.
  2. Performance Optimization:

    • Android: Optimize code, use efficient data structures, and consider background tasks for smooth performance.
    • iOS: Employ Instruments to profile and optimize code, and leverage Grand Central Dispatch for efficient multithreading.
  3. Cross-Platform Compatibility:

    • Android: Test your app on various screen sizes and resolutions to ensure compatibility.
    • iOS: Consider different iOS devices and screen sizes during development, utilizing Auto Layout for adaptive UI.
  4. Testing and Debugging:

    • Android: Use Android Studio's built-in tools like Logcat and Android Profiler for effective debugging.
    • iOS: Utilize Xcode's debugging features, such as LLDB debugger and Instruments for performance analysis.
  5. Security Measures:

    • Android: Implement secure coding practices and utilize Android's built-in security features.
    • iOS: Follow iOS security guidelines, use Keychain Services for sensitive data storage, and enable App Transport Security (ATS).
  6. Version Control and Collaboration:

    • Android: Leverage Git for version control and platforms like GitHub for collaborative development.
    • iOS: Utilize Git with Xcode, and consider using tools like Bitbucket or GitLab for collaborative iOS development.
  7. Internationalization and Localization:

    • Android: Support multiple languages and cultures using Android's resource qualifiers.
    • iOS: Use NSLocalizedString for string localization and consider layout adjustments for different languages.
  8. Regular Updates and Maintenance:

    • Android: Keep up with the latest Android versions, APIs, and libraries for ongoing compatibility.
    • iOS: Stay informed about the latest iOS SDK updates and Swift language enhancements to ensure your app is up-to-date.