Trigonometry Calculator Degree Mode

Trigonometric Functions:

\[ \sin(\theta^\circ), \cos(\theta^\circ), \tan(\theta^\circ), \csc(\theta^\circ), \sec(\theta^\circ), \cot(\theta^\circ) \]

Result:

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1. What is Trigonometry Calculator Degree Mode?

The Trigonometry Calculator Degree Mode computes trigonometric functions (sine, cosine, tangent, etc.) for angles measured in degrees. It provides accurate calculations for various mathematical and engineering applications.

2. How Does the Calculator Work?

The calculator uses standard trigonometric functions with degree input:

\[ \sin(\theta^\circ), \cos(\theta^\circ), \tan(\theta^\circ), \csc(\theta^\circ), \sec(\theta^\circ), \cot(\theta^\circ) \]

Where:

\( \theta \) — Angle in degrees
sin — Sine function
cos — Cosine function
tan — Tangent function
csc — Cosecant function (1/sin)
sec — Secant function (1/cos)
cot — Cotangent function (1/tan)

Explanation: The calculator converts degrees to radians internally since PHP's trigonometric functions use radians, then calculates the selected function.

3. Importance of Trigonometric Calculations

Details: Trigonometric calculations are essential in mathematics, physics, engineering, computer graphics, and many other fields. They help solve problems involving angles, distances, and periodic phenomena.

4. Using the Calculator

Tips: Enter the angle in degrees, select the desired trigonometric function, and click calculate. The result will be displayed as a unitless value.

5. Frequently Asked Questions (FAQ)

Q1: Why use degree mode instead of radian mode?
A: Degree mode is more intuitive for most users and is commonly used in everyday applications, education, and many engineering fields.

Q2: What are the ranges for trigonometric functions?
A: Sine and cosine range from -1 to 1, while tangent, cotangent, secant, and cosecant can have any real value depending on the angle.

Q3: How are undefined values handled?
A: For angles where functions are undefined (e.g., tan(90°)), the calculator will return appropriate error handling or very large values.

Q4: Can I calculate inverse trigonometric functions?
A: This calculator focuses on standard trigonometric functions. Inverse functions would require a different implementation.

Q5: What precision does the calculator provide?
A: The calculator provides results with 6 decimal places precision, suitable for most practical applications.