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ML Aggarwal Solutions Class 10 Mathematics Solutions for Trigonometric Identities Exercise 18 in Chapter 18 - Trigonometric Identities

Question 19 Trigonometric Identities Exercise 18

sec2 A + cosec2 A = sec2 A. cosec2 A

Answer:

Solution:

First we can convert sec A and cosec A in terms of cos A and sin A respectively in LHS.

L.H.S = sec2 A + cosec2 A

= 1/cos2 A + 1/sin2 A

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

= 1/ (sin2 A cos2 A)

= sec2 A cosec2 A = R.H.S

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