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Trigonometric Ratios Of Some Special Angles

NIOS · Class 10 · Maths

Step-by-step guide to study Trigonometric Ratios Of Some Special Angles in NIOS Class 10 Maths. Topics to cover, practice strategy, and time allocation.

36 questions24 flashcards5 concepts

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A labeled diagram showing a right-angled isosceles triangle (angles 45°, 45°, 90°) with sides 'a' and hypotenuse 'a√2', used to derive sine, cosine, and tangent for 45 degrees.
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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas, and key concepts.

2
Day 3

Practice Problems

Solve textbook exercises and additional practice questions. There are 36 questions available for this chapter.

3
Day 4

Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding. Mark weak areas for re-revision.

4
Day 7

Spaced Revision

Revisit Trigonometric Ratios Of Some Special Angles after a week. Use flashcards for quick recall. Solve previous year questions from this chapter.

What to Focus On

  • Right triangle ratios are the base of the chapter.
  • Pythagoras theorem is used repeatedly in special-angle constructions.
  • Reciprocal ratios are found from sine, cosine, and tangent.

  • A 45°-45°-90° triangle has equal legs.
  • The hypotenuse is square root of 2 times one leg.
  • sin 45° and cos 45° have the same value.

  • The 30° construction produces an equilateral triangle.
  • The longer side of the 30° right triangle is twice the shorter side.
  • OM becomes square root of 3 times a units.

Common Mistakes to Avoid

tan 90° is 0 because the tangent value at 0° and 90° should behave symmetrically.

sec 90° = 0 because cosine at 90° is 0.

In the 30° construction, triangle PMO itself is equilateral.

Memory Tips

Special-angle sine values in order

Cosine values in reverse order

45° is the equal-side angle

45° construction with OM = PM

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Frequently Asked Questions

What are the important topics in Trigonometric Ratios Of Some Special Angles for NIOS Class 10 Maths?
Key topics in Trigonometric Ratios Of Some Special Angles include Trigonometric Ratios of Special Angles - Complete Overview, Complete Overview of Special Angles Chapter, Special Angles Trigonometric Ratios Overview. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Trigonometric Ratios Of Some Special Angles — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 36 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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