Question

Find the perimeter of a rectangle whose length is sin^2 theta and whose breadth is cos^2 theta

Answer 1

Answer:

here, l=sin^2 theta and b=cos^2 theta

Perimeter of a rectangle= 2(l+b) = 2( sin^2 θ +cos^2 θ)

   Using the trigonometric identity, sin^2 θ +cos^2 θ=1

Perimeter of a rectangle= 2 * 1 = 2

Therefore, Perimeter of a rectangle= 2 units

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Answer 2

Perimeter=2

OR

Perimeter=2unit