Trigonometry Table 0°–90° With Tricks to Remember
The Trigonometry Table (0°–90°) is one of the most important concepts in Class 10 CBSE Mathematics. Students frequently use these values while solving problems related to trigonometric identities, heights and distances, and trigonometric equations.
In this article, you will learn:
- Complete trigonometry table from 0° to 90°
- Values of sin, cos, tan, cosec, sec, and cot
- Simple tricks to remember the trigonometric table
- Important exam tips for CBSE Class 10 students
Watch: How To Remember Value Of Trigonometric Ratios
Prefer video explanation? Watch the complete explanation above.
Standard Angles in Trigonometry
In CBSE Class 10, students mainly memorize trigonometric ratios for the following five standard angles:
- 0°
- 30°
- 45°
- 60°
- 90°
These angles appear very frequently in board exams and competitive exams.
Trigonometry Table PDF (Download)
Download the printable Class 10 trigonometry PDFs below.
📥 Download Trigonometry Identities PDF
📥 Download Trigonometry Formula PDF
Why Download the Trigonometry Table?
- Quick revision before exams
- Helps memorize trigonometric values
- Useful during problem solving
- Printable formula sheet for Class 10 students
| Angle | sin θ | cos θ | tan θ | cosec θ | sec θ | cot θ |
|---|---|---|---|---|---|---|
| 0° | 0 | 1 | 0 | Not Defined | 1 | Not Defined |
| 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 | Not Defined | 1 | Not Defined | 0 |
These values come from the relationships between the sides and angles of a right-angled triangle and are fundamental to solving trigonometric problems.
Important Observations from the Trigonometry Table
- sin θ increases from 0 to 1 as the angle increases from 0° to 90°.
- cos θ decreases from 1 to 0 as the angle increases.
- tan 0° = 0 and tan 90° is not defined.
- sin 90° = 1 and cos 0° = 1.
Trick #1 – The √(0,1,2,3,4)/2 Trick
One of the easiest ways to remember the trigonometric table is the square root trick.
Step 1
0 1 2 3 4
Step 2
Take square roots: √0, √1, √2, √3, √4
Step 3
Divide each value by 2:
- sin 0° = √0 /2 = 0
- sin 30° = √1 /2 = 1/2
- sin 45° = √2 /2
- sin 60° = √3 /2
- sin 90° = √4 /2 = 1
The cosine values are simply the reverse of the sine values.
Trick #2 – Using Trigonometric Relationships
You only need to remember sin and cos. Other ratios can be derived using formulas:
- tan θ = sin θ / cos θ
- cot θ = cos θ / sin θ
- sec θ = 1 / cos θ
- cosec θ = 1 / sin θ
Trick #3 – Remember the Special Triangle
Two special triangles help derive most trigonometric values:
- 45°–45°–90° triangle
- 30°–60°–90° triangle
The 30°–60°–90° triangle has side ratios: 1 : √3 : 2
Exam Tip for CBSE Class 10 Students
In CBSE board exams, students often lose marks due to incorrect trigonometric values. A good practice is to quickly rewrite the trigonometry table in the rough column before solving problems.
Conclusion
The Trigonometry Table from 0° to 90° is essential for solving many problems in Class 10 mathematics. Instead of memorizing the entire table blindly, students can use simple tricks like the √(0–4)/2 method and trigonometric identities to recreate the table quickly.