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Formula Sheet

Trigonometric Ratios Of Some Special Angles — Formula Sheet

NIOS · Class 10 · Maths

18 formulas from Trigonometric Ratios Of Some Special Angles (NIOS Class 10 Maths) on one page, grouped by topic. Includes For an acute angle C in right.

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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18 Entries · 6 Sections

Formulas and Key Relations

Core definitions and right-triangle ratios

sin C = (side opposite to ∠C) / Hypotenuse

cosec C = Hypotenuse / (side opposite to ∠C)

Special angles: 45°

OM = PM

OP^2 = OM^2 + PM^2

OP = √2·a units

Special angles: 30°

OP = OP′ = PP′ = 2a units

OM = √3·a units

sin 30° = 1/2

cos 30° = √3/2

tan 30° = 1/√3

Special angles: 60°

OP = PM′ = OM′ = 2a units

PM = √3·a units

sin 60° = √3/2

cos 60° = 1/2

tan 60° = √3

Right-Triangle Trigonometric Ratios

For an acute angle C in right triangle ABC right-angled at B

sin C = opposite/hypotenuse, cos C = adjacent/hypotenuse, tan C = opposite/adjacent.

The reciprocal ratios are cosec C = hypotenuse/opposite, sec C = hypotenuse/adjacent, cot C = adjacent/opposite.

Key relations

In a right triangle ABC right-angled at B, AC^2 = AB^2 + BC^2.

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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 many formulas are in Trigonometric Ratios Of Some Special Angles?
This sheet lists 18 formulas from Trigonometric Ratios Of Some Special Angles, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
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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All NIOS Class 10 Maths Formula Sheet

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