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    Trigonometry
    High School
    Periodic Circular & Harmonic Ratio

    Sin Cos Tan Calculator

    Find the sine, cosine and tangent of an angle in degrees

    Standard Formula
    sin θ, cos θ, tan θ

    Interactive Sandbox

    Live Reactive

    Adjust values in real-time and observe mathematical cause-and-effect

    theta
    °
    190
    Live EquationFormula Proof
    sin θ, cos θ, tan θ = 0.5
    xy(0.9, 0.5)
    cos: 0.87
    sin: 0.50
    tan: 0.6
    Calculated Solution
    0.5

    Bounded Oscillatory Function: Sine and cosine oscillate smoothly between -1 and +1 with period 360° (2π rad).

    Variable Mechanics

    Roles, constraints & impacts

    1 Params
    theta

    Angle

    Angle (Rotational Position)

    °
    ImpactDetermines coordinates on the unit circle
    Constraint0° to 360° or 0 to 2π rad

    At a Glance

    Gotchas, units & real-world use

    Essential

    Formula Nature & Mechanics

    Bounded Oscillatory Function: Sine and cosine oscillate smoothly between -1 and +1 with period 360° (2π rad).

    Common Mistakes & Traps

    • Using Degree mode when Radians are expected (or vice versa).
    • Tangent asymptotes at 90° and 270° (division by cos θ = 0 causes undefined infinity).
    • Forgetting inverse trigonometric domain limits (e.g., arcsin input must be between -1 and 1).

    Dimensional Analysis & Units

    Ratio of side lengths → Dimensionless Scalar [-1, +1]

    Real-World & Industry Application

    Audio sound wave synthesis, AC alternating current electrical waveforms, robotic arm joint kinematics, and astronomical navigation.

    📖 Beginner's guideHow to Find Sin, Cos, and Tan of an AngleLearn how to find the sine, cosine, and tangent of any angle, with the SOHCAHTOA idea explained simply, a real example, and a free calculator.

    Worked Example: Sin Cos Tan

    Given:

    • theta = 30
    1. θ = 30° = 0.5236 rad
    2. sin 30° = 0.5
    3. cos 30° = 0.866
    4. tan 30° = 0.5774

    Answer: 0.5

    Frequently Asked Questions

    What is the Sin Cos Tan formula?

    sin θ, cos θ, tan θ. Find the sine, cosine and tangent of an angle in degrees.

    How do I calculate Sin Cos Tan?

    Enter Angle (theta) into the calculator. It applies sin θ, cos θ, tan θ and shows every step of the working.

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