Jay Singh
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In angle PQR, right-angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P.

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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:10

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2 Answers

  1. Given that: in APQR, angle Q is right angled.
    Let QR x, therefore, PR = 25-x
    In △PQR, by Pythagoras theorem, we have
    PR² = PQ²+OQ²
    ⇒ (25-x)² = (5)²+(x)²
    ⇒ 625+x²-50x = 25+x²
    ⇒ 625-50x = 25
    ⇒ 50x = 600
    ⇒ x = 12
    ⇒ QR = 12
    Therefore, PR = 25-12 = 13
    Now, sin P = QR/PR = 12/13, cos P = PQ/PR = 5/13 and tan P = QR/PQ = 12/5

    Here is the video explanation of the question😺👇

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  2. 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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