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The student B simplified the expression incorrectly the solution for the student B will be [tex]Sin^2 \theta[/tex]
The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.
Correct Solution for the student B will be:
[tex]=\dfrac{\dfrac{1}{Cos \theta}-Cos\theta}{sec\theta}[/tex]
[tex]=\dfrac{\dfrac{1-Cos^2\theta}{Cos\theta}}{ \dfrac{1}{Cos\theta}}[/tex]
[tex]=1-Cos^2\theta[/tex]
[tex]=Sin^2\theta[/tex]
Hence the student B simplified the expression incorrectly the solution for the student B will be [tex]Sin^2 \theta[/tex]
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