SSC CHSL 2027: Basic Trigonometry Values for SSC Exams

Trigonometry is an important topic in the Quantitative Aptitude section of SSC examinations. Questions based on trigonometric ratios, standard angles and basic identities can be solved more easily when candidates remember the important values and formulas. A clear understanding of sine, cosine and tangent is useful for improving calculation speed and accuracy.

In this guide, you will learn basic trigonometry values, important formulas, solved examples and practice questions for SSC CHSL 2027.

1. What Is Trigonometry?

Trigonometry is a branch of mathematics that studies the relationship between the angles and sides of a right-angled triangle. It mainly uses six trigonometric ratios: sine, cosine, tangent, cosecant, secant and cotangent.

These ratios help calculate unknown sides and angles in a right-angled triangle.

2. Six Basic Trigonometric Ratios

For an angle θ in a right-angled triangle, the six trigonometric ratios are defined as follows:

3. Important Trigonometry Values Table

Remembering the standard trigonometric values of 0°, 30°, 45°, 60° and 90° is important for solving basic SSC exam questions.

Quick Tip: Learn the values of sin θ and cos θ first. The remaining ratios can be calculated using their reciprocal or division relationships.

4. Easy Trick to Remember Sine and Cosine Values

The values of sine for standard angles can be remembered using the following pattern:

sin θ = √0/2, √1/2, √2/2, √3/2, √4/2

This gives:

• sin 0° = 0
• sin 30° = 1/2
• sin 45° = 1/√2
• sin 60° = √3/2
• sin 90° = 1

For cosine values, remember the same values in reverse order:

cos θ = √4/2, √3/2, √2/2, √1/2, √0/2

5. Important Trigonometric Identities

Trigonometric identities are useful for simplifying expressions and solving examination questions.

6. Solved Trigonometry Examples for SSC CHSL 2027

Example 1: Find the value of sin 30° + cos 60°.

Solution:

sin 30° = 1/2 and cos 60° = 1/2.

Therefore, 1/2 + 1/2 = 1.

Example 2: Find the value of tan 45° + sin 90°.

Solution:

tan 45° = 1 and sin 90° = 1.

Therefore, 1 + 1 = 2.

Example 3: If sin θ = 3/5 and θ is an acute angle, find cos θ.

Solution:

Using sin² θ + cos² θ = 1:

cos² θ = 1 − (3/5)² = 1 − 9/25 = 16/25.

Since θ is acute, cos θ is positive.

Therefore, cos θ = 4/5.

7. Tips to Prepare Trigonometry for SSC Exams

• Memorise standard values of 0°, 30°, 45°, 60° and 90°.
• Understand all six trigonometric ratios and their relationships.
• Practise the three basic Pythagorean identities regularly.
• Learn the reciprocal relationships between sin, cosec, cos, sec, tan and cot.
• Practise simplification questions using standard values.
• Pay attention to undefined values, especially tan 90°, sec 90°, cosec 0° and cot 0°.
• Revise formulas regularly and solve timed practice questions.

8. Practice Questions for SSC CHSL 2027

Q1. What is the value of sin 30°?

A) 0 B) 1/2 C) 1/√2 D) 1

Answer: B) 1/2

Q2. What is the value of cos 60°?

A) 1 B) √3/2 C) 1/2 D) 0

Answer: C) 1/2

Q3. What is the value of tan 45°?

A) 0 B) 1/√3 C) 1 D) √3

Answer: C) 1

Q4. Which of the following is a correct trigonometric identity?

A) sin² θ − cos² θ = 1 B) sin² θ + cos² θ = 1 C) sin θ + cos θ = 1 D) tan θ + cot θ = 1

Answer: B) sin² θ + cos² θ = 1

Q5. What is the value of sin 90°?

A) 0 B) 1/2 C) 1/√2 D) 1

Answer: D) 1

9. Frequently Asked Questions

Conclusion

Basic trigonometry values are useful for solving questions in SSC CHSL and other competitive examinations. Candidates should focus on standard angle values, six trigonometric ratios and important identities. Regular revision and practice can help improve accuracy and confidence in the Quantitative Aptitude section.