CBSE Class 10-Mathematics: Chapter – 8 Introduction to Trigonometry Part 14 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question5:

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

(i)

(ii)

(iii)

(iv)

(v) , using the identity

(vi)

(vii)

(viii)

(ix)

(x)

Answer:

Proof:

(i)

L. H. S.

(ii)

L. H. S.

(iii)

L. H. S.

(iv)

L. H. S.

(v) , using the identity

Dividing all terms by

(vi)

L. H. S.

(vii)

(viii)

L. H. S.

(ix)

L. H. S.

Dividing all the terms by

(x)

L. H. S.

Now, Middle side