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Important Questions

Trigonometrical Ratios of Standard Angles — Important Questions

ICSE · Class 9 · Mathematics

34 important questions from Trigonometrical Ratios of Standard Angles for ICSE Class 9 Mathematics, with answers.

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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34 Questions·
multiple choicemultiple correcttext answertrue falsematching

Important Questions from Trigonometrical Ratios of Standard Angles

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)

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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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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 important questions are there in Trigonometrical Ratios of Standard Angles?
Super Tutor has 34 practice questions for Trigonometrical Ratios of Standard Angles, including multiple choice, multiple correct, text answer, true false, matching questions. A sample with answers is on this page.

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

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