1.

Cos4theta-cos2theta=sin4theta-sin2theta

Answer»

Step-by-step explanation:

Proof :-

We have , LHS =

cos ^4 theta - cos ^2 theta

= cos^2 theta ( cos^2 theta - 1)

= -sin^2 theta cos^2 theta ........(1)

RHS =

sin^4 theta - sin ^2 theta

= sin^2 theta ( sin^2 theta -1)

= - sin^2 theta • cos^2 theta ............(2)

From (1) and (2), we have

LHS = RHS

cos^4 theta - cos^2 theta = sin^4 theta - sin^2 theta

Hence , proved

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