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Chapter 15 of 16
Practice Quiz

Trigonometry — Practice Quiz

Maharashtra Board · Class 9 · Mathematics

Try a 4-question quiz on Trigonometry for Maharashtra Board Class 9 Mathematics: tap an answer to check it and see why.

45 questions22 flashcards8 formulas & key relations5 concepts

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Quick Quiz: Trigonometry

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1

In a right-angled triangle ABC with ∠B = 90°, if AC = 5 cm and BC = 3 cm, find sin A.

2

What is the value of sin 30°?

3

If cos θ = 4/5, find sin θ (where θ is acute).

4

In triangle PQR, ∠Q = 90°, PQ = 12 cm, QR = 9 cm. Find tan P.

45 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct

Which of the following are correct trigonometric ratios? (Select all correct answers)

Show answer

sin 45° = 1/√2, cos 60° = 1/2, sin 90° = 1

From standard trigonometric values: sin 45° = 1/√2 ✓, cos 60° = 1/2 ✓, sin 90° = 1 ✓. However, tan 30° = 1/√3 (not √3), and cos 0° = 1 (not 0).

2multiple choice

What is the value of cos 45° + sin 45°?

Show answer

2/√2

Step 1: cos 45° = 1/√2 and sin 45° = 1/√2. Step 2: cos 45° + sin 45° = 1/√2 + 1/√2 = 2/√2 = √2.

3multiple choice

If sin θ = cos θ, find the value of θ (where θ is acute).

Show answer

45°

Step 1: We know sin θ = cos θ. Step 2: From complementary angle relation, sin θ = cos(90° - θ). Step 3: So cos θ = cos(90° - θ), which means θ = 90° - θ. Step 4: Solving: 2θ = 90°, therefore θ = 45°.

4multiple correct

Which relationships are correct for complementary angles? (Select all correct)

Show answer

sin θ = cos(90° - θ), cos θ = sin(90° - θ), tan θ = cot(90° - θ)

For complementary angles: sin θ = cos(90° - θ) ✓, cos θ = sin(90° - θ) ✓, tan θ = cot(90° - θ) ✓. The incorrect options show equal ratios which only occur at 45°.

+41 more questions on Trigonometry (Maharashtra Board Class 9 Mathematics)

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Frequently Asked Questions

What are the important topics in Trigonometry for Maharashtra Board Class 9 Mathematics?
Key topics in Trigonometry include Introduction to Trigonometry and Basic Concepts, Trigonometric Ratios, Relations Among Trigonometric Ratios, Trigonometric Ratios of Specific Angles. Study these first, then practise questions on each for Class 9 exams.
How many practice questions are there for Trigonometry?
There are 45 questions on Trigonometry. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

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