Trigonometry Equations Calculator

Trigonometry Sine (sin)

Solution

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How It Works

Select a trigonometric function (sin, cos, tan, csc, sec, cot) or its inverse, enter the angle or value, and the calculator returns the result. Angles can be entered in degrees or radians. Inverse functions return the angle in your chosen unit.

Example Problem

Find sin(30°):

  1. Convert to radians: 30° = π/6 ≈ 0.5236 rad.
  2. sin(π/6) = 0.5

Inverse example: arcsin(0.5) = 30° or π/6 radians.

Frequently Asked Questions

What is the difference between degrees and radians?

Degrees divide a full circle into 360 parts; radians measure the angle by arc length, with a full circle equal to 2π radians. To convert, multiply degrees by π/180. For instance, 90° = π/2 ≈ 1.5708 radians.

What are the reciprocal trig functions?

Cosecant is 1/sin, secant is 1/cos, and cotangent is 1/tan. They are undefined when the underlying function equals zero (e.g., csc is undefined at 0° because sin(0) = 0).

How do inverse trig functions work?

Inverse functions find the angle from a ratio. arcsin(0.5) = 30° means that sin(30°) = 0.5. The domain is restricted to ensure a unique output: arcsin and arccos accept inputs between −1 and 1.

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