We know that I Now, LHS = I + A = And on RHS = (I – A) As we know,cos 2θ = 1 - 2 sin2 θcos 2θ = 2 cos2 θ - 1 and sin2θ = 2 sinθ cosθ As tanθ = sinθ/cosθ = = LHS Hence Proved.

Q. 184.1( 194 Votes )

If <i

Class 12th NCERT - Mathematics Part-I 3. Matrices

Answer :

We know that I

Now, LHS = I + A

And on RHS = (I – A)

As we know,

cos 2θ = 1 - 2 sin² θ

cos 2θ = 2 cos² θ - 1

and sin2θ = 2 sinθ cosθ

As tanθ = sinθ/cosθ

= LHS

Hence Proved.

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