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.
Maths
Calculator · Maths
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.
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.
Indicative result
Results are indicative and intended for educational purposes. Due to floating-point arithmetic, results may slightly differ from exact values.
Related calculators
Fraction Calculator
Calculate addition, subtraction, multiplication and division of fractions online. Result as simplified fraction and decimal. Free.
MathsRounding calculator
Round any number to 1, 2 or 3 decimal places, to the nearest whole, ten, hundred or thousand. Free online rounding calculator with rounding error.
Maths