Arithmetic Sequence Calculator — nth Term and Sum
Find the nth term and sum of an arithmetic sequence from the first term and common difference. Formulas a_n = a₁ + (n−1)·r and Sₙ. Free math calculator.
Current for 2026Methodology →
Trigonometry Calculator
The trigonometry calculator lets you instantly compute the values of the basic trigonometric functions — sine, cosine, tangent — and their inverses: arcsine, arccosine, and arctangent. Enter the angle value in degrees or radians, select the desired function, and get the result accurate to 8 decimal places.
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How to use the calculator?
1. Select a trigonometric function from the list (sin, cos, tan, asin, acos, atan). 2. Enter the angle value or number (for inverse functions asin/acos the value must be between -1 and 1). 3. Choose the unit: degrees or radians. 4. Click "Calculate" — the calculator will display the result, value in radians and in degrees.
Calculation example
Example: calculate the sine of 30°. Select operation "sin", enter value 30, unit: degrees. The calculator converts 30° to radians: 30 × π/180 ≈ 0.5236 rad, then computes sin(0.5236) = 0.5. Result: sin(30°) = 0.5.
Frequently asked questions
What does the trigonometry calculator compute?
The calculator computes sine, cosine, tangent, arcsine, arccosine, and arctangent for a given angle or numeric value.
What value should I enter for arcsin and arccos?
For asin and acos, the input value must be between -1 and 1, since sine and cosine only take values in that range.
What units can I use for the angle?
You can choose degrees (°) or radians (rad). The calculator automatically converts between units and shows the result in both formats.
What is sin(90°)?
The sine of 90 degrees equals exactly 1 — it is the maximum value of the sine function.
What is cos(0°)?
The cosine of 0 degrees equals exactly 1. Cosine reaches its maximum value of 1 at zero angle.
What is a radian?
A radian is a unit of angle measurement where a full rotation (360°) equals 2π ≈ 6.2832 rad. One radian is approximately 57.2958°.
Why is tan(90°) undefined?
Tangent of 90° is undefined because cos(90°) = 0, and tan = sin/cos. Division by zero yields infinity.
How do I convert degrees to radians?
Multiply the degree value by π/180. For example, 180° = π rad ≈ 3.1416 rad. To convert radians to degrees, multiply by 180/π.
What is arctangent used for?
Arctangent is used to find an angle from the ratio of sides of a right triangle, in navigation, computer graphics, and physics.
Does the calculator work for negative angles?
Yes, the calculator supports negative angles. For example, sin(-30°) = -0.5 and cos(-60°) = 0.5.
Results are indicative and intended for educational purposes. Due to floating-point arithmetic, results may slightly differ from exact values.
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