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Trigonometry Calculator

Math Calculators

sin/cos/tan values, inverse trig and special angles

Quick Answer

Trigonometry Calculator: sin/cos/tan values, inverse trig and special angles. deg → rad: rad = deg × π/180.

sin(45°)

0.70710678

cos(45°)

0.70710678

tan(45°)

1

csc(45°)

1.4142136

sec(45°)

1.4142136

cot(45°)

1

Steps

  1. 145° = 0.78539816 rad
  2. 2Angle in Quadrant I
  3. 3sin²θ + cos²θ = 0.5 + 0.5 = 1
  4. 4tan θ = sin/cos = 0.70710678 ÷ 0.70710678 = 1

Special angles

θsincostan
0°010
30°1/2√3/2√3/3
45°√2/2√2/21
60°√3/21/2√3
90°10∞

💡 Mnemonic for quadrants: "All Students Take Calculus" — All positive in I, Sin in II, Tan in III, Cos in IV.

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How to Use

  1. Enter values or expressions: type directly into the Trigonometry Calculator — keyboard friendly.
  2. Instant results: everything computes live as you type, no button needed.
  3. Follow the steps: the result panel shows full working and formula substitution.
  4. Copy or recompute: one-click copy; change any input to recalculate instantly.

Key Points

  • Trigonometry Calculator is a free online math tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: sin/cos/tan values, inverse trig and special angles.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Trigonometry essentials

deg → rad: rad = deg × π/180
tan = sin/cos; cot = 1/tan; sec = 1/cos; csc = 1/sin
Domain: asin/acos need [−1,1]; atan takes all reals
Special angles: sin30°=1/2, sin45°=√2/2, sin60°=√3/2, sin90°=1

Example: asin(0.5) = 30° = π/6 rad.

FAQ

How do I use the Trigonometry Calculator?
Open the page and fill in the input fields — results update automatically. sin/cos/tan values, inverse trig and special angles.
Are the results accurate?
Yes. All calculations use standard mathematical formulas and are verified for accuracy.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required — just open and use.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. All calculations run locally in your browser. Nothing is uploaded or stored.

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Source & Updates

Standard mathematical formulas. All logic verified. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Trigonometry Calculator[EB/OL]. https://www.yijiansuan.com/en/c/math/trig

Results provided by this tool are for reference only and do not constitute professional advice.