Introduction to Trigonometry
CBSE · Class 10 · Mathematics
Flashcards for Introduction to Trigonometry — CBSE 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.
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Introduction to Trigonometry covers several key topics that are frequently asked in CBSE Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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