Sin Cos Tan Calculator

Sin Cos Tan is evaluated from Angle and Angle Unit. The calculation reports sin, cos and tan.

Results

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About the Sin Cos Tan Calculator

Sin Cos Tan is treated here as a quantitative relation between Angle and Angle Unit and sin, cos, tan and csc.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
sin(θ) = opposite / hypotenuse
cos(θ) = adjacent / hypotenuse
tan(θ) = opposite / adjacent = sin/cos

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

sin(θ) = opposite / hypotenuse
cos(θ) = adjacent / hypotenuse
tan(θ) = opposite / adjacent = sin/cos

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: 45° Angle — Classic Trig Values

Inputs

angle: 45 angle_unit: degrees
sin: 0.70710678. cos: 0.70710678. tan: 1. csc: 1.41421356. sec: 1.41421356. cot: 1. Angle in Radians: 0.78539816 rad. Angle in Degrees: 45 deg

With Angle = 45 and Angle Unit = degrees as the stated inputs, the result is sin = 0.70710678, cos = 0.70710678 and tan = 1. Each value corresponds to the declared output fields.

Example 2: 30° Angle — Structural Load

Inputs

angle: 30 angle_unit: degrees
sin: 0.5. cos: 0.8660254. tan: 0.57735027. csc: 2. sec: 1.15470054. cot: 1.73205081. Angle in Radians: 0.52359878 rad. Angle in Degrees: 30 deg

With Angle = 30 and Angle Unit = degrees as the stated inputs, the result is sin = 0.5, cos = 0.8660254 and tan = 0.57735027. Each value corresponds to the declared output fields.

Example 3: 60° Angle — Solar Panel Tilt

Inputs

angle: 60 angle_unit: degrees
sin: 0.8660254. cos: 0.5. tan: 1.73205081. csc: 1.15470054. sec: 2. cot: 0.57735027. Angle in Radians: 1.04719755 rad. Angle in Degrees: 60 deg

With Angle = 60 and Angle Unit = degrees as the stated inputs, the result is sin = 0.8660254, cos = 0.5 and tan = 1.73205081. Each value corresponds to the declared output fields.

Example 4: Radians Input — Physics Wave

Inputs

angle: 1.5708 angle_unit: radians
sin: 1. cos: -0.00000367. tan: -272,241.80840928. csc: 1. sec: -272,241.80841111. cot: -0.00000367. Angle in Radians: 1.5708 rad. Angle in Degrees: 90.0002 deg

With Angle = 1.5708 and Angle Unit = radians as the stated inputs, the result is sin = 1, cos = -0.00000367 and tan = -272,241.80840928. Each value corresponds to the declared output fields.

Common Use Cases

  • Find all six trig values for an angle
  • Solve right triangle problems
  • Calculate wave function values in physics
  • Convert between angle representations