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Home » A circle has a radius of 7 cm. Calculate its circumference and area. - Feedz API

A circle has a radius of 7 cm. Calculate its circumference and area. - Feedz API

📅 May 18, 2026 👤 scraface

May 18, 2026

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Determine the maximum value of \((\sin x + \cos x)^2 + (\sin x - \cos...
Let us simplify the expression \((\sin x + \cos x)^2 + (\sin x - \cos...
First, expanding each term:
Adding these two expressions:
Simplify by combining like terms:
= 2\sin^2 x + 2\cos^2 x = 2(\sin^2 x + \cos^2 x)
Using the Pythagorean identity \(\sin^2 x + \cos^2 x = 1\):
= 2 \times 1 = 2
Therefore, the maximum value is \(\boxed{2}\).
Find the value of \(x\) such that the vectors \(\begin{pmatrix} \sin x...

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