Trigonometric Ratios CBSE NCERT Solutions Chapter 8 Exercise 8.1 Question 6
6. If
and
are acute angles such that cos A = cos B, then show that
=
.
Solution:
It is given that cos A = cos B.
(1)
Let,
(2)
And,
Using Pythagoras Theorem on both the triangles, we can say that
and
(3)
From (1), (2) and (3), we can say that
Therefore, by SSS similarity criterion,
~
Therefore,
{Corresponding Angles of similar triangles are equal.}
Hence Proved
bhagyashree mandia says
The solutions are not same as solutions given in another book .