Q4 of 118 Page 5

If sin x = cos2 x, then write the value of cos2 x (1 + cos2 x).

Given sin x = cos2x


To find the value of cos2 x (1 + cos2 x).


⇒ cos2 x (1 + cos2 x).


⇒ cos2 x + cos4 x.


As cos2x = 1- sin2x the above equation becomes


⇒ 1- sin2x + sin2x


⇒ 1.


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