The simplified value of the given function [tex]\dfrac{Sin^2\theta}{1+Cos^2\theta}[/tex] will be equal to 1.
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.
The given function is:-
[tex]=\dfrac{Sin^2\theta}{1+Cos^2\theta}\\\\\\=\dfrac{Sin^2\theta}{Sin^2\theta}\\\\\\\ = 1[/tex]
Hence the simplified value of the given function [tex]\dfrac{Sin^2\theta}{1+Cos^2\theta}[/tex] will be equal to 1.
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