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Maths Trigonometry Caluculator

DEG
Ready for Input

FLUX TRIG PRO V1

What is a Trigonometry Calculator?

A Trigonometry Calculator is a precision tool designed to master the relationships between side lengths and angles of triangles. It simplifies complex circular functions into actionable data.

  • Solves Sine, Cosine, and Tangent
  • Converts between Degrees & Radians
  • Calculates Inverse Functions (Arcsine, etc.)
  • Essential for Physics, Engineering, and Navigation
θ
sin(θ) = opp / hyp
TRIG SOLVED
FLUX TRIG

The DEG/RAD Switch

Trigonometry relies on two different languages for angles. The DEG/RAD key allows you to toggle between them, ensuring your calculations match the specific needs of your project.

  • Degrees (DEG): Based on a 360° circle. Standard for basic geometry.
  • Radians (RAD): Based on the circle's radius (2π). Vital for Calculus.
  • Flux Logic: Automatically converts inputs based on the active mode.
DEG
RAD
180° = π radians
MODE: ACTIVE
FLUX TOGGLE

The Inverse Cosine cos⁻¹

The Inverse Cosine (also known as Arccosine) is used to find the unknown angle when the ratio of the adjacent side to the hypotenuse is known.

  • Input Range: The input value must be between -1 and 1.
  • Primary Use: Finding angles in right-angled triangles easily.
  • Dual Output: Get results instantly in Degrees or Radians.
RATIO INPUT: 0.5
acos(0.5)
60.00°
θ = cos⁻¹(x)
FLUX INVERSE

The Inverse Sine sin⁻¹

The Inverse Sine function (Arcsine) calculates the angle when you provide the ratio of the opposite side to the hypotenuse. It is the perfect tool for reverse engineering a triangle.

  • Mathematical Rule: The input must strictly be within the range of -1 to 1.
  • Usage: Ideal for finding the elevation angle in physics and construction.
  • Precision: High-accuracy output in Degrees or Radians based on your selection.
OPP / HYP: 1.0
asin(1.0)
90.00°
θ = sin⁻¹(opp/hyp)
FLUX ARCSIN

The Inverse Tangent tan⁻¹

The Inverse Tangent (Arctan) function is unique because, unlike Sine and Cosine, it accepts any real number as input to calculate the corresponding angle.

  • Infinite Range: It can calculate angles for any input value from negative to positive infinity.
  • Slope Analysis: Widely used to determine the angle of a slope or gradient.
  • Result Handling: Flux ensures the output is perfectly scaled to your DEG/RAD setting.
OPP / ADJ: 1.0
atan(1.0)
45.00°
θ = tan⁻¹(opp/adj)
FLUX ARCTAN

The Sine Function sin(θ)

The Sine function calculates the vertical component of a unit circle. It represents the ratio of the side opposite to an angle to the hypotenuse in a right-angled triangle.

  • Standard Values: Famous ratios like $\sin(30^\circ) = 0.5$ are core to geometry.
  • Waveforms: Used to model sound waves, light, and electrical currents.
  • Flux Mode: Automatically detects if your $30$ input is in Degrees or Radians.
ANGLE: 30°
sin(30)
0.5
sin(θ) = Opposite / Hypotenuse
FLUX SINE

Standard Trigonometric Values (DEG Mode)

Angle (Degrees) sin(θ) cos⁻¹ tan⁻¹
0 1 0
30° 0.5 0.8660 0.5773
45° 0.7071 0.7071 1
60° 0.8660 0.5 1.7320
90° 1 0 Undefined

* Use these values to verify your Flux Trig Pro calculations.