Sketch the region enclosed by the given curves. y = tan(9x), y = 2 sin(9x), −π/27 ≤ x ≤ π/27

Find its area.

Area (A) 0.0682

Step-by-step explanation:

The sketch for the region enclosed by the given curves can be found in the image attached below.

From the image below;

The two curves intersect in the area of tan 9x = 2 sin 9x

Recall that:

making x the subject; then:

The subdivision of the domain is in two intervals

where;

Area (A) =

Area (A) = 0.06818

Area (A) 0.0682