Skip to main content
Super TutorResources
Chapter 22 of 28
Important Questions

Trigonometrical Ratios — Important Questions

ICSE · Class 9 · Mathematics

36 important questions from Trigonometrical Ratios for ICSE Class 9 Mathematics, with answers. Part of the ICSE Class 9 Mathematics syllabus.

36 questions26 flashcards16 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Trigonometrical Ratios? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for important questions and more.

Try Super Tutor — Free

Free trial, no card needed.

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
Super Tutor

One of 3 illustrations for Trigonometrical Ratios in Super Tutor — alongside flashcards, concept maps and practice questions.

36 Questions·
multiple choicemultiple correcttext answertrue falsematchingordering

Important Questions from Trigonometrical Ratios

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)

Practise All

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 important questions are there in Trigonometrical Ratios?
Super Tutor has 36 practice questions for Trigonometrical Ratios, including multiple choice, multiple correct, text answer, true false, matching, ordering questions. A sample with answers is on this page.

Sources & Official References

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

More resources for Trigonometrical Ratios

All ICSE Class 9 Mathematics Important Questions

For serious students

Get the full Trigonometrical Ratios chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 9 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free