Evaluate six trigonometric functions for an angle, with degree and radian input clearly separated.
sin(30°) = 0.5, cos(30°) ≈ 0.866, and tan(30°) ≈ 0.577. Select degrees before entering 30.
30° = π/6 radians.
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How to Use the Trigonometry Calculator
Enter an angle, select degrees or radians, and choose the function you want in the main result. The remaining five values appear beside it for comparison. Radian mode accepts decimals and simple multiples of π.
A degree/radian mismatch is one of the most common reasons a calculator answer looks wrong: sin(30°) is 0.5, while sin(30 radians) is not.
Sine, Cosine, and Tangent in a Right Triangle
For an acute angle in a right triangle, sine compares the opposite side with the hypotenuse, cosine compares the adjacent side with the hypotenuse, and tangent compares opposite with adjacent. SOH CAH TOA is a memory aid for these three ratios.
The same functions extend beyond acute angles through the unit circle.
Secant, Cosecant, and Cotangent
Secant is 1/cos θ, cosecant is 1/sin θ, and cotangent is cos θ/sin θ. A reciprocal is undefined when its denominator is zero. For example, sec(90°) is undefined because cos(90°) = 0.
Worked Example: 30 Degrees
Convert 30° to π/6 radians. On a unit circle, sin(30°) = 1/2 and cos(30°) = √3/2. Therefore tan(30°) = (1/2)/(√3/2) = 1/√3 ≈ 0.57735. The calculator displays decimal approximations where the exact form contains a radical.
When a Trigonometric Function Is Undefined
Tangent and secant are undefined when cosine is zero, such as at 90° and 270°. Cosecant and cotangent are undefined when sine is zero, such as at 0° and 180°. The tool reports “undefined” near these exact singularities rather than showing a huge floating-point artifact.
Trigonometry Calculator FAQs
What is sin(30°)?
sin(30°) = 0.5.
Why is tan(90°) undefined?
Tangent divides sine by cosine, and cos(90°) = 0.
Can I enter π/2?
Yes. Select radians and enter π/2 or pi/2.
Editorial review
SolverCalc names Prof. Dr. Khalil Mudassar as its educational reviewer. The formulas and examples are documented in the references below.
Sources
Disclaimer
For educational use. Check your class or textbook convention when the problem defines a different range, sequence index, or notation.