CBSE Class 10-Mathematics: Chapter – 8 Introduction to Trigonometry Part 17 (For CBSE, ICSE, IAS, NET, NRA 2023)

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Question8:

Prove the following identities, where the angles involved are acute angles for which the expressions are defined:

Answer:

(i)

(ii)

(iii)

(iv)

(v) , using the identity

(vi)

(vii)

(viii)

(ix)

(x)

Answer:

(i)

L. H. S.

(ii)

L. H. S.

(iii)

L. H. S.

(iv)

L. H. S.

(v) , using the identity

L. H. S.

Dividing all terms by ,

(vi)

L. H. S.

(vii)

L. H. S.

(viii)

L. H. S.

(ix)

L. H. S.

Dividing all the terms by

(x)

L. H. S.

Now, Middle side