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Study Plan

Trigonometric Ratios Of Some Special Angles — Study Plan

NIOS · Class 10 · Maths

A step-by-step study plan for Trigonometric Ratios Of Some Special Angles, NIOS Class 10 Maths: what to learn first, what to practise and when to revise.

36 questions24 flashcards18 formulas & key relations5 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 ideas. Focus on: 1. Right-Triangle Trigonometric Ratios, 2. Values of 45°, 30°, and 60°, 3. How the special-angle values are obtained.

2
Day 3

Practise

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

3
Day 4

Revise & Test

Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.

4
Day 7

Spaced Revision

Come back to Trigonometric Ratios Of Some Special Angles after a week. Use flashcards for quick recall and try past exam questions on 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 Right-Triangle Trigonometric Ratios, Values of 45°, 30°, and 60°, How the special-angle values are obtained, Ratios of 0° and 90°. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How should I revise Trigonometric Ratios Of Some Special Angles for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 36 practice questions on Trigonometric Ratios Of Some Special Angles. Revise 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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