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