Trigonometry Table: Sin Cos Tan of Special Angles (0–90°)

A trigonometry table of special angles lists the values of sin, cos, and tan for 0°, 30°, 45°, 60°, and 90° — values worth memorising because they appear most often in exams. These angles are called "special" because their values can be written in exact form (not repeating decimals). This page is a reference table for middle and high school students and parents helping at home.

Sin Cos Tan Table of Special Angles

Decimal values for reference: sin 30° = 0.5; cos 30° ≈ 0.866; tan 45° = 1; sin 60° ≈ 0.866.

How to Read the Table + Example

Pick the row of the angle you need, then read the column of the function (sin, cos, or tan) you want.

Example: A ladder leans against a wall at 60° to the floor. If the ladder is 4 m long, how high up the wall does its top reach?

Height = ladder length × sin 60° = 4 × ½√3 = 2√3 ≈ 3.46 m.

💡 Memory tip: for sin, the sequence 0°→90° is ½√0, ½√1, ½√2, ½√3, ½√4 = 0, ½, ½√2, ½√3, 1. For cos, just reverse the order.

Why This Table Matters

Special-angle values appear in almost every trigonometry, physics, and geometry problem — from finding the height of a tower to angles of inclination. Memorising them saves exam time and forms the basis before studying the full trigonometry formulas. The concept is also closely tied to the Pythagorean theorem in right triangles.

Other Math Topics

• Trigonometry Formulas
• The Pythagorean Theorem
• Area of a Triangle
• Solving Quadratic Equations

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