# NCERT Class 10 Mathematics Chapter 8 Introduction to Trigonometry Solutions: In-Text and Exercise Questions Explained | SwaVid

Here are the questions and step-by-step solutions from the NCERT Class 10 Mathematics textbook, Chapter 8: Introduction to Trigonometry.

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# Introduction to Trigonometry

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## Related chapters

Chapter 8 · Class 10 Mathematics

Here are the questions and step-by-step solutions from the NCERT Class 10 Mathematics textbook, Chapter 8: Introduction to Trigonometry.

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Exercise 8.1

Answer: (i) sin A = 7/25, cos A = 24/25 (ii) sin C = 24/25, cos C = 7/25

Exercise 8.2

Exercise 8.3

Exercise 8.4

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- First, find the length of the hypotenuse AC using the Pythagorean theorem: AC² = AB² + BC².
- Substitute the given values: AC² = 24² + 7² = 576 + 49 = 625.
- Calculate AC: AC = √625 = 25 cm.
- For angle A: The side opposite to A is BC = 7 cm. The side adjacent to A is AB = 24 cm. The hypotenuse is AC = 25 cm.
- Calculate sin A = (Opposite side) / (Hypotenuse) = BC / AC = 7 / 25.
- Calculate cos A = (Adjacent side) / (Hypotenuse) = AB / AC = 24 / 25.
- For angle C: The side opposite to C is AB = 24 cm. The side adjacent to C is BC = 7 cm. The hypotenuse is AC = 25 cm.
- Calculate sin C = (Opposite side) / (Hypotenuse) = AB / AC = 24 / 25.
- Calculate cos C = (Adjacent side) / (Hypotenuse) = BC / AC = 7 / 25.
- NCERT Class 10 Mathematics textbook: Mathematics : Chapter 8: Introduction to Trigonometry

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