Introduction to Trigonometry
Uttar Pradesh Board · Class 10 · Mathematics
Flashcards for Introduction to Trigonometry — Uttar Pradesh Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
What is trigonometry and what does the word mean?
Answer
Trigonometry is the study of relationships between the sides and angles of a triangle. The word comes from Greek: 'tri' (three), 'gon' (sides), and 'metron' (measure).
In a right triangle ABC with right angle at C, identify the hypotenuse, opposite side, and adjacent side with respect to angle A.
Answer
Hypotenuse: Side AB (longest side opposite to right angle) Opposite side to angle A: Side BC (faces angle A) Adjacent side to angle A: Side AC (forms angle A)
Define sin A in a right triangle.
Answer
sin A = opposite side / hypotenuse = BC/AB It represents the ratio of the side opposite to angle A to the hypotenuse.
Define cos A in a right triangle.
Answer
cos A = adjacent side / hypotenuse = AC/AB It represents the ratio of the side adjacent to angle A to the hypotenuse.
Define tan A in a right triangle.
Answer
tan A = opposite side / adjacent side = BC/AC It represents the ratio of the side opposite to angle A to the side adjacent to angle A.
What are the three reciprocal trigonometric ratios?
Answer
cosec A = 1/sin A = hypotenuse/opposite side sec A = 1/cos A = hypotenuse/adjacent side cot A = 1/tan A = adjacent side/opposite side
Express tan A and cot A in terms of sin A and cos A.
Answer
tan A = sin A / cos A cot A = cos A / sin A These relationships help convert between different trigonometric ratios.
Do trigonometric ratios change if the size of the triangle changes but the angle remains the same?
Answer
No, trigonometric ratios remain constant for a given angle regardless of the triangle's size. This is because similar triangles have proportional sides, so the ratios remain the same.
+16 more flashcards available
Practice AllGet detailed flashcards for Introduction to Trigonometry
Super Tutor gives you interactive content for every chapter of Uttar Pradesh Board Class 10 Mathematics — summaries, quizzes, flashcards, and more.
Try Super Tutor — It's FreeFrequently Asked Questions
What are the important topics in Introduction to Trigonometry for Uttar Pradesh Board Class 10 Mathematics?
Introduction to Trigonometry covers several key topics that are frequently asked in Uttar Pradesh Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Introduction to Trigonometry — Uttar Pradesh Board Class 10 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.
How many flashcards are available for Introduction to Trigonometry?
There are 24 flashcards for Introduction to Trigonometry covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More Resources for Introduction to Trigonometry
Important Questions
Practice with board exam-style questions
Syllabus
What topics to cover
Revision Notes
Key points for last-minute revision
Study Plan
Step-by-step plan to ace this chapter
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Practice Quiz
Test yourself with a quick quiz
Concept Maps
See how topics connect visually