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Ex 8.4, 5 (vii) - Chapter 8 Class 10 Introduction to Trignometry (Term 1)

Last updated at March 29, 2023 by

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Ex 8.4, 5 Prove the following identities, where the angles involved are acute angles for which the expressions are defined. (vii) (sin 2 sin3 )/(2 cos3 cos )=tan Taking L.H.S (sin 2 sin3 )/(2 cos3 cos ) = (sin (1 2 sin2 ))/(cos (2cos2 1)) = sin /(cos ) ( (1 2sin2 ))/((2cos2 1)) = tan ( (1 2sin2 ))/((2cos2 1)) = tan ((1 2sin2 ))/((2(1 sin2 ) 1) ) = tan ((1 2sin2 ))/((2 2sin2 1)) = tan ((1 2sin2 ))/((1 2sin2 ) ) = tan 1 = tan = R.H.S Hence proved

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