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.
Interactive on Super Tutor
Studying Introduction to Trigonometry? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for flashcards and more.
1,000+ Class 10 students started this chapter today
This is just one of 16+ visuals inside Super Tutor's Introduction to Trigonometry chapter
Explore the full setWhat 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 AllFrequently Asked Questions
What are the important topics in Introduction to Trigonometry for Uttar Pradesh Board Class 10 Mathematics?
How to score full marks in Introduction to Trigonometry — Uttar Pradesh Board Class 10 Mathematics?
How many flashcards are available for Introduction to Trigonometry?
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
For serious students
Get the full Introduction to Trigonometry chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Uttar Pradesh Board Class 10 Mathematics.