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Geometry
# Fundamental Trigonometric Identities

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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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Simplify \( \tan\left(A + \frac{\pi}{2}\right).\)

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Jester De Vera**

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If \(\sin A +\sin^{2}A=1,\) find the value of \(\cos ^{2} A + \cos ^{4} A.\)

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Krishna Ar**

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\[\ln(\tan1^{\circ})+ \ln(\tan2^{\circ})+\ldots+\ln(\tan88^{\circ})+\ln(\tan89^{\circ})= \ ?\]

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mario font**

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What is the value of \( \sin 20^{\circ}(\tan 10^{\circ}+\cot 10^{\circ})\)?

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Danish Ahmed**

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