Jay Singh
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Given 15 cot A = 8, find sin A and sec A.

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NCERT Solutions for Class 10 Maths Chapter 8
Important NCERT Questions
Introduction Trigonometry
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 8.1
Page No:181
Questions No:4

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  1. Get Hindi Medium and English Medium NCERT Solution for Class 10 Maths to download.
    Please follow the link to visit website for first and second term exams solutions.
    https://www.tiwariacademy.com/ncert-solutions/class-10/maths/chapter-8/

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  2. Given that: 15 cot A = 8
    ⇒ cot A = 8/15
    Let cot A = 8k/15k, where k is a real number.
    In ∆ ABC, by Pythagoras theorem, we have
    AC² = AB² + BC²
    = (8k)²+(15k)²
    = 64k²+225k²
    = 289k²
    ⇒ AC = √(289k²) = 17k
    Hence, sin A = BC/AC = 15k/17k = 15/17 and sec A = AC/AB = 17k/8k = 17/8

    See here for video explanation of this question👇😊

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