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Trigonometrical Ratios of Standard Angles — Practice Quiz

ICSE · Class 9 · Mathematics

Try a 4-question quiz on Trigonometrical Ratios of Standard Angles for ICSE Class 9 Mathematics: tap an answer to check it and see why.

34 questions32 flashcards31 formulas & key relations5 concepts

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A labeled diagram showing an equilateral triangle bisected by an altitude, illustrating how to derive sine, cosine, and tangent for 30° and 60° angles using side lengths 'a' and '2a'.
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Quick Quiz: Trigonometrical Ratios of Standard Angles

0/4

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1

Find the value of sin 30°.

2

Calculate the value of cos 60° + sin 30°.

3

Evaluate: sin² 45° + cos² 45°

4

Calculate: 2 sin 30° × cos 60°

34 Questions·
multiple choicemultiple correcttext answertrue falsematching

Sample Questions

1multiple correct

Which of the following are correct values? (Select all that apply)

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tan 45° = 1, cos 0° = 1, sin 90° = 1, cos 45° = 1/√2

From standard values: tan 45° = 1, cos 0° = 1, sin 90° = 1, cos 45° = 1/√2 are all correct. However, tan 30° = 1/√3, not √3.

2multiple correct

Which expressions equal √3/2? (Select all that apply)

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sin 60°, cos 30°

From standard values: sin 60° = √3/2 and cos 30° = √3/2. sin 30° = 1/2, cos 60° = 1/2, and tan 60° = √3.

3multiple choice

Find the value of sec 60°.

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2

sec 60° = 1/cos 60° = 1/(1/2) = 2. Secant is the reciprocal of cosine.

4multiple correct

Which of the following are true? (Select all that apply)

Show answer

sin 90° = cos 0°, sin 30° = cos 60°, tan 45° = cot 45°, sin 60° = cos 30°

Complementary angle relationships: sin θ = cos(90° - θ). So sin 90° = cos 0° = 1, sin 30° = cos 60° = 1/2, sin 60° = cos 30° = √3/2. Also tan 45° = cot 45° = 1. But tan 30° = 1/√3 while cot 30° = √3.

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Frequently Asked Questions

What are the important topics in Trigonometrical Ratios of Standard Angles for ICSE Class 9 Mathematics?
Key topics in Trigonometrical Ratios of Standard Angles include Trigonometric ratios of 30° and 60°, Trigonometric ratios of 45°, Standard-angle table and variation from 0° to 90°, Important identities. Study these first, then practise questions on each for Class 9 exams.
How many practice questions are there for Trigonometrical Ratios of Standard Angles?
There are 34 questions on Trigonometrical Ratios of Standard Angles. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

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

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