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If A is an acute angle and sec A = 17/8, find all other trigonometric ratios of angle A (using trigonometric identities).

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Book- ML Aggarwal
Board- ICSE
Publication- Avichal
Chapter- Trigonometric Identities

If A is an acute angle and sec A = 17/8, find all other trigonometric ratios of angle A (using trigonometric identities).

This is important ques..  Pls provide solution with figure

ML Aggarwal, ques no 2

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  1. Solution:

    ML Aggarwal Solutions for Class 10 Chapter 18 - 2Given that

    sec A = 17/8 and A is an acute angle

    So, in ∆ ABC we have ∠B = 90o

    And,

    AC = 17 and AB = 8

    By Pythagoras theorem,

    BC = √(AC2 – AB2)

    = √(172 – 82) = √(289 – 64) = √225

    = 15

    Now,

    sin A = BC/AC = 15/17

    cos A = 1/sec A = 8/17

    tan A = BC/AB = 15/8

    cot A = 1/tan A= 8/15

    cosec A = 1/sin A = 17/15

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