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(i) tan A + cot A = sec A cosec A (ii) (1 – cos A) (1 + sec A) = tan A sin A

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Book- ML Aggarwal
Board- ICSE
Publication- Avichal
Chapter- Trigonometric Identities
Chapter number-18

We hage have to prove

(i) tan A + cot A = sec A cosec A 

(ii) (1 – cos A) (1 + sec A) = tan A sin A

Ques no. 13, chapter 18th trigonometry identities

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1 Answer

  1. Solution:

    (i) L.H.S. = tan A + cot A

    = sin A/cos A + cos A/sin A

    = (sin2 A + cos2 A)/ (sin A cos A)

    = 1/ (sin A cos A)

    = sec A cosec A

    = R.H.S

    (ii) L.H.S. = (1 – cos A) (1 + sec A)

    ML Aggarwal Solutions for Class 10 Chapter 18 - 13

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