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Important Questions

Trigonometrical Ratios

ICSE · Class 9 · Mathematics

Most important questions from Trigonometrical Ratios for ICSE Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

36 questions26 flashcards5 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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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)

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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.

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Frequently Asked Questions

What are the important topics in Trigonometrical Ratios for ICSE Class 9 Mathematics?
Trigonometrical Ratios covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Trigonometrical Ratios — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 36 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Trigonometrical Ratios?
There are 36 practice questions available for Trigonometrical Ratios. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

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

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