Struggling to remember sin, cos, tan values?
You’re not alone — most students try to memorize blindly and forget quickly.
👉 In this guide, I’ll show you:
- The complete trigonometric table (0°–90°)
- A 2-minute trick to remember everything
- Simple explanations so you never forget again
📊 Complete Trigonometric Table (0° to 90°)
| Angle (°) | sin θ | cos θ | tan θ | cosec θ | sec θ | cot θ |
|---|---|---|---|---|---|---|
| 0° | 0 | 1 | 0 | ∞ | 1 | ∞ |
| 30° | 1/2 | √3/2 | 1/√3 | 2 | 2/√3 | √3 |
| 45° | 1/√2 | 1/√2 | 1 | √2 | √2 | 1 |
| 60° | √3/2 | 1/2 | √3 | 2/√3 | 2 | 1/√3 |
| 90° | 1 | 0 | ∞ | 1 | ∞ | 0 |
👉 This is the most important table in trigonometry — used in exams, physics, and engineering.
⚡ 1-Minute Revision Table (Exam Ready)
If you have just 60 seconds, remember this pattern:
👉 sin values follow:
√0/2, √1/2, √2/2, √3/2, √4/2
👉 cos values are reverse:
√4/2, √3/2, √2/2, √1/2, √0/2
👉 tan = sin / cos
🧠 Easy Trick to Remember Trigonometric Values
This is the most powerful shortcut students love.
Step-by-step trick:
- Write numbers: 0, 1, 2, 3, 4
- Take square root: √0, √1, √2, √3, √4
- Divide by 2 → gives sin values
👉 Reverse it → you get cos values
🎯 Example:
- sin 30° = √1/2 = 1/2
- cos 60° = √1/2 = 1/2
👉 That’s it. No memorization needed.
🔍 Why Do These Values Exist? (Simple Explanation)
Most students memorize — but understanding makes it permanent.
Trigonometric values come from right-angle triangles.
👉 Example:
- sin θ = opposite / hypotenuse
- cos θ = adjacent / hypotenuse
- tan θ = opposite / adjacent
These ratios create the standard values for 0°, 30°, 45°, 60°, 90°.
📘 Solved Examples (Important for Exams)
Example 1:
Find sin 60° + cos 60°
👉 sin 60° = √3/2
👉 cos 60° = 1/2
👉 Answer = (√3 + 1)/2
Example 2:
Find tan 45° × cos 0°
👉 tan 45° = 1
👉 cos 0° = 1
👉 Answer = 1
❌ Common Mistakes Students Make
🚫 Mistake 1: Thinking tan 90° = 1
👉 Correct: tan 90° is undefined (∞)
🚫 Mistake 2: Confusing sin and cos order
👉 sin increases, cos decreases
🚫 Mistake 3: Forgetting units (degree vs radian)
🌍 Real-Life Applications of Trigonometric Table
Trigonometry is not just theory — it’s used everywhere:
🏗️ Engineering
- Building bridges
- Structural calculations
🎮 Game Development
- Movement, angles, rotation
🚀 Physics
- Waves, motion, forces
📡 Navigation & GPS
- Distance and positioning
👉 This is why learning trig tables is super important
📥 Download Trigonometric Table PDF
Download Free Trigonometry Table PDF →
Pro Tip: Keep it on your phone for quick revision.
🎯 Exam-Focused Quick Tips
- Memorize sin pattern → derive everything
- Practice at least 5 questions daily
- Focus on applications, not just memory
❓ FAQs – Trigonometric Table
Q1: What is the easiest way to learn trigonometric table?
👉 Use the √ pattern method — fastest and easiest.
Q2: Why is tan 90° undefined?
👉 Because cos 90° = 0, and tan = sin/cos → division by zero.
Q3: Are trig tables important for exams?
👉 Yes — almost every math and physics exam includes them.
Q4: Can I learn trigonometry in one day?
👉 Yes, basics + table can be learned in a few hours with the right method.
Q5: Where are trigonometric values used?
👉 Engineering, physics, navigation, and computer graphics.
🧠 Final Thoughts
If you only memorize the table, you’ll forget.
But if you understand the pattern + logic, you’ll remember forever.
👉 Start with the √ trick
👉 Practice daily
👉 Apply in problems
That’s how you master trigonometry.
Download Free Trigonometry Table PDF →
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