The graphs of sine and cosine functions, intersect each other at a number of points and between two…

The graphs of sine and cosine functions, intersect each other at a number of points and between two consecutive points of intersection, the two graphs enclose the same area A. Then A4 is equal to

Solution

A=π/45π/4sinx-cosxdx

=-cosx-sinxπ/45π/4

=--12--12--12-12

 A=22+22=22 sq. units

 A4=224=16×4=64

Asked in: JEE Main 2021 (25 Feb Shift 1)

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