Trigonometry

This trigonometry calculator evaluates all six fundamental trigonometric functions -- sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot) -- for any angle entered in degrees. Whether you are a high school or college student studying trigonometry, an engineer solving structural or electrical problems, a physicist analyzing wave motion, or anyone working with angles in navigation, computer graphics, or construction, this tool provides instant trigonometric values for any angle input.

The calculator converts the input angle from degrees to radians (multiplying by pi/180) before evaluating each function. The primary functions sin(theta) and cos(theta) are computed using JavaScript's built-in Math library. The remaining four functions are derived: tan(theta) = sin(theta)/cos(theta), csc(theta) = 1/sin(theta), sec(theta) = 1/cos(theta), and cot(theta) = cos(theta)/sin(theta). At angles where a function is mathematically undefined due to division by zero -- such as tan(90 deg) where cos(90 deg) = 0 -- the result displays as undefined. Values are shown with up to 8 decimal places of precision, and the equivalent radian measure is also provided for reference.

Trigonometric functions are fundamental to mathematics, science, and engineering. Sine and cosine have a period of 360 deg (2pi radians), meaning sin(theta + 360 deg) = sin(theta) and cos(theta + 360 deg) = cos(theta). Tangent and cotangent have a shorter period of 180 deg (pi radians). On the unit circle, sin(theta) gives the y-coordinate and cos(theta) gives the x-coordinate of a point at angle theta from the positive x-axis. The interactive chart plots sin, cos, and tan across 0 deg to 360 deg, helping you visualize wave patterns, identify asymptotes, and understand function periodicity. Use the chart tabs to switch between viewing each function's waveform.

How to use

Enter any angle in degrees (e.g. 45, 90, -30, 420) into the input field, then click Calculate. The result panel displays all six trigonometric function values simultaneously alongside the angle in radians. Use the chart tabs below the results to switch between visualizing sin(theta), cos(theta), or tan(theta) on the interactive line graph spanning 0 deg to 360 deg. The calculator URL updates automatically so you can share or bookmark specific calculations -- simply copy the URL after calculating to share with others.

Regional notes

Trigonometry is a universal branch of mathematics taught in schools worldwide. Degrees are the most common unit for angle measurement in secondary education across India (IN), the United States (US), and the United Kingdom (UK). While this calculator accepts degrees and converts internally, professionals in higher mathematics and physics typically work in radians. The conversion formula radians = degrees x pi/180 is the international standard.