How do you calculate the sine of an angle?

To calculate sine (sin), divide the length of the opposite side by the length of the hypotenuse in a right triangle. For example, sin(30°) = opposite/hypotenuse = 1/2 = 0.5. The calculator handles this automatically - just enter the angle and select sine.

What's the difference between degrees and radians?

Degrees and radians are two ways to measure angles. Degrees divide a circle into 360 equal parts, while radians divide a circle into about 6.28 (2π) equal parts. 90° equals π/2 radians, and 180° equals π radians. The calculator can work with both systems and convert between them.

How do you find the inverse sine (arcsine)?

The inverse sine (sin⁻¹ or arcsine) finds the angle when you know the sine value. For example, if sin(θ) = 0.5, then θ = sin⁻¹(0.5) = 30°. The inverse functions are useful when you know the ratio but need to find the angle. Valid input range for sin⁻¹ is -1 to 1.

Why is tan(90°) undefined?

Tangent is defined as opposite/adjacent in a right triangle. At 90°, the adjacent side becomes zero, so we're dividing by zero, which is undefined. This is why tan(90°) and similar values cannot be calculated. The calculator will show a friendly message explaining why certain values are undefined.

How do you use pi (π) in angle calculations?

You can enter angles using π notation directly. For example: π/6 (30°), π/4 (45°), π/3 (60°), π/2 (90°), π (180°), or 2π (360°). The calculator recognizes π and converts it to the appropriate numerical value for calculations. This is especially useful for radians-based problems.

Trigonometry Calculator – Clear Answers Without Confusion

Trigonometry becomes much easier when you don't have to worry about formulas or unit conversions. This Trigonometry Calculator is designed to give you accurate results while helping you understand what's happening behind the scenes.

You simply choose the trigonometric function, enter the angle, and get the result instantly. The calculator supports both degrees and radians, so you don't have to convert values manually. A simple toggle lets you switch between the two whenever needed.

What makes this calculator different is its clean and focused layout. There are no unnecessary buttons or complex options. Everything is laid out in a way that feels natural, even if you're seeing trigonometry for the first time.

What Each Function Does

sin (Sine)

Opposite side divided by hypotenuse. For a 30° angle, sin(30°) = 1/2 = 0.5.

Range: -1 to 1

cos (Cosine)

Adjacent side divided by hypotenuse. For a 30° angle, cos(30°) = √3/2 ≈ 0.866.

Range: -1 to 1

tan (Tangent)

Opposite side divided by adjacent side. For a 30° angle, tan(30°) = 1/√3 ≈ 0.577.

Range: -∞ to ∞

Inverse Functions

Find the angle when you know the ratio. sin⁻¹(0.5) = 30°, meaning the angle whose sine is 0.5.

Input range: -1 to 1

Degrees vs Radians

This calculator handles both measurement systems automatically:

Degrees (°): Divide circle into 360 parts (30°, 45°, 90°)
Radians: Divide circle into ~6.28 parts (π/6, π/4, π/2)
π notation: Use π directly (π/6 = 30°, π/2 = 90°)

For learners who want more than just an answer, the step-by-step explanation shows the formula used and how the value is calculated. Visual references, such as a triangle or unit circle, help connect numbers to real concepts.

This tool is useful for students, teachers, and anyone revising trigonometry for exams or practical work. Whether you're calculating sine, cosine, tangent, or their inverse values, the process stays simple and clear.

Trigonometry doesn't have to feel intimidating. With the right explanation and a clean interface, it finally starts to make sense.

Trigonometry Calculator

Choose Function

Enter Angle

Your Result

Unit Circle

Right Triangle

Step-by-Step Explanation

Please Check Your Input

Understanding Trigonometry Made Simple

What Each Function Does

sin (Sine)

cos (Cosine)

tan (Tangent)

Inverse Functions

Degrees vs Radians

Basic Calculator

Scientific Calculator

Percentage Calculator