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Geometry
# Pythagorean Identities

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\[\large \dfrac { { \tan }^{ 2 }\theta }{ { \tan }^{ 2 }\theta+ 1 }= \, ? \]

*Check out the set: 2016 Problems*

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Angela Fajardo**

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**True or False**:

\[\large (\cos x - \sin x)(\cos x +\sin x) = \cos^4 x - \sin^4 x\]

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N Solomon**

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\[ {\sin}\theta+{\sin}^2\theta= 1\]

If the above equation is true, find the value of the expression below

\[ {\cos}^2\theta+{\cos}^4\theta. \]

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Parth Lohomi**

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Mahindra Jain**

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Find the value of

\[\cos^2 45^{\circ} +\sin^2 45^{\circ}.\]

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kritarth lohomi**

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