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Find 6 Trig Values Calculator

Trigonometric Functions:

\[ \begin{align*} \sin(\theta) &= \text{opposite/hypotenuse} \\ \cos(\theta) &= \text{adjacent/hypotenuse} \\ \tan(\theta) &= \text{opposite/adjacent} \\ \csc(\theta) &= 1/\sin(\theta) \\ \sec(\theta) &= 1/\cos(\theta) \\ \cot(\theta) &= 1/\tan(\theta) \end{align*} \]

degrees
sin(θ):
cos(θ):
tan(θ):
csc(θ):
sec(θ):
cot(θ):

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1. What Are Trigonometric Functions?

Trigonometric functions relate the angles of a triangle to the lengths of its sides. The six basic trigonometric functions are sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot).

2. How Does the Calculator Work?

The calculator computes all six trigonometric functions for a given angle:

\[ \begin{align*} \sin(\theta) &= \text{opposite/hypotenuse} \\ \cos(\theta) &= \text{adjacent/hypotenuse} \\ \tan(\theta) &= \text{opposite/adjacent} \\ \csc(\theta) &= 1/\sin(\theta) \\ \sec(\theta) &= 1/\cos(\theta) \\ \cot(\theta) &= 1/\tan(\theta) \end{align*} \]

The calculator can work with angles in either degrees or radians.

3. Importance of Trigonometric Calculations

Details: Trigonometric functions are fundamental in mathematics, physics, engineering, and many other fields. They are used to model periodic phenomena, analyze waveforms, solve triangles, and more.

4. Using the Calculator

Tips: Enter the angle value and select whether it's in degrees or radians. The calculator will compute all six trigonometric functions simultaneously.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between degrees and radians?
A: Degrees divide a circle into 360 parts, while radians are based on the radius of the circle (2π radians = 360°).

Q2: Why do some results show infinity (∞)?
A: This occurs when the function is undefined (e.g., tan(90°) or cot(0°)) because you're dividing by zero.

Q3: What's the range of valid angles?
A: The calculator works for any real number angle, though values are periodic every 360° or 2π radians.

Q4: How precise are the results?
A: Results are accurate to at least 6 decimal places.

Q5: Can I use this for complex numbers?
A: This calculator only handles real number inputs.

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