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Chapter 8 of 14
Practice Quiz

Introduction to Trigonometry — Practice Quiz

Gujarat Board · Class 10 · Mathematics

Try a 4-question quiz on Introduction to Trigonometry for Gujarat Board Class 10 Mathematics: tap an answer to check it and see why.

30 questions26 flashcards3 formulas & key relations4 concepts

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Quick Quiz: Introduction to Trigonometry

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

1

In a right triangle ABC with right angle at B, if AB = 3 cm and BC = 4 cm, what is the value of sin A?

2

What is the value of cos 60°?

3

If sin θ = 3/5, what is the value of cos θ? (θ is an acute angle)

4

In a right triangle, if the hypotenuse is 13 cm and one side is 5 cm, find sin θ where θ is the angle opposite to the 5 cm side.

30 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct

Which of the following are equal to tan 45°? (Select all correct answers)

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1, sin 45°/cos 45°, (√2/2)/(√2/2)

tan 45° = 1. Also, tan θ = sin θ/cos θ, so tan 45° = sin 45°/cos 45°. Since sin 45° = cos 45° = √2/2, we have tan 45° = (√2/2)/(√2/2) = 1.

2multiple choice

What is the value of sin²30° + cos²30°?

Show answer

1

By the fundamental trigonometric identity, sin²θ + cos²θ = 1 for any angle θ. This is true for θ = 30° as well. We can verify: sin 30° = 1/2, cos 30° = √3/2, so sin²30° + cos²30° = (1/2)² + (√3/2)² = 1/4 + 3/4 = 1.

3multiple choice

If cos A = 0.8, what is the value of sin A? (A is an acute angle)

Show answer

0.6

Using sin²A + cos²A = 1: sin²A + (0.8)² = 1, so sin²A + 0.64 = 1, therefore sin²A = 0.36, so sin A = 0.6 (positive since A is acute).

4multiple correct

Which of the following statements are true? (Select all correct answers)

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sin 0° = 0, cos 90° = 0, sin 90° = 1, cos 0° = 1

From the standard values: sin 0° = 0, cos 0° = 1, sin 90° = 1, cos 90° = 0, and tan 0° = 0 (not 1).

+26 more questions on Introduction to Trigonometry (Gujarat Board Class 10 Mathematics)

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Frequently Asked Questions

What are the important topics in Introduction to Trigonometry for Gujarat Board Class 10 Mathematics?
Key topics in Introduction to Trigonometry include Basic Concepts and Definitions, Six Trigonometric Ratios, Trigonometric Ratios of Standard Angles, Trigonometric Identities. Study these first, then practise questions on each for the Gujarat Board Class 10 board exam.
How many practice questions are there for Introduction to Trigonometry?
There are 30 questions on Introduction to Trigonometry. 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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