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Trigonometrical Ratios — Practice Quiz

ICSE · Class 9 · Mathematics

Try a 4-question quiz on Trigonometrical Ratios for ICSE Class 9 Mathematics: tap an answer to check it and see why. 36 questions in the full chapter test.

36 questions26 flashcards16 formulas & key relations5 concepts

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A right-angled triangle with one acute angle labeled as the angle of reference. The sides opposite to the acute angle, adjacent to the acute angle, and opposite to the right angle are clearly labeled
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Quick Quiz: Trigonometrical Ratios

0/4

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

1

If tan θ = 5/12, what is the value of cos θ?

2

If cos A = 8/17, find the value of sin A.

3

In triangle ABC, ∠B = 90°, AB = 12 cm, BC = 5 cm. What is tan C?

4

Which expression equals sec²θ - tan²θ?

36 Questions·
multiple choicemultiple correcttext answertrue falsematchingordering

Sample Questions

1multiple correct

Which of the following are correct for a right triangle with ∠C = 90°? (Select all correct options)

Show answer

sin A = cos B, tan A = sin A / cos A, sec A = 1/cos A, cosec A = 1/sin A

In a right triangle: (1) sin A = cos B (complementary angles), (2) tan A = sin A / cos A (quotient identity), (3) sec A = 1/cos A (reciprocal), (4) sin A + cos A ≠ 1 (this would be sin²A + cos²A = 1), (5) cosec A = 1/sin A (reciprocal).

2text answer

If sin θ = 7/25, what is the value of cosec θ?

3true false

In a right triangle, if one angle is 30°, then sin 30° = 1/2. True or False?

Show answer

True

sin 30° = 1/2 is a standard trigonometric value. In a 30-60-90 triangle, the sides are in ratio 1:√3:2, so sin 30° = opposite/hypotenuse = 1/2.

4matching

Match the trigonometric ratios with their reciprocals:

Show answer

sin θ → cosec θ

The reciprocal pairs are: sin θ and cosec θ, cos θ and sec θ, tan θ and cot θ. Each pair multiplies to give 1.

+32 more questions on Trigonometrical Ratios (ICSE Class 9 Mathematics)

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Frequently Asked Questions

What are the important topics in Trigonometrical Ratios for ICSE Class 9 Mathematics?
Key topics in Trigonometrical Ratios include Basic Ideas in a Right Triangle, Six Trigonometrical Ratios, Worked Calculations and Standard Results, Geometry-Based Applications. Study these first, then practise questions on each for Class 9 exams.
How many practice questions are there for Trigonometrical Ratios?
There are 36 questions on Trigonometrical Ratios. 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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