Trigonometric Ratios Complementary Angles CBSE NCERT Solutions Chapter 8 Exercise 8.4 Question 5
5. Prove the following identities, where the angles involved are acute angles for which the expressions are defined.
(i)
Solution:
L.H.S =
R.H.S =
Therefore, L.H.S = R.H.S
Hence Proved
(ii)
L.H.S =
Therefore, L.H.S = R.H.S
Hence Proved
(iii)
L.H.S =
Therefore, L.H.S = R.H.S
Hence Proved
(iv)
L.H.S =
R.H.S =
Therefore, L.H.S = R.H.S
Hence Proved
(v)
Solution:
L.H.S=
R.H.S
Therefore, L.H.S = R.H.S
Hence Proved
(vi)
L.H.S
R.H.S
Therefore, L.H.S = R.H.S
Hence, Proved
(vii)
L.H.S =
Therefore, L.H.S = R.H.S
Hence Proved
(viii)
L.H.S =
Therefore, L.H.S = R.H.S
Hence Proved
(ix)
L.H.S
R.H.S =
Therefore, L.H.S = R.H.S
Hence Proved
(x)
Therefore,
Hence Proved
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