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Home » Play, Create, Conquer: The Ultimate Sandbox for Games That Keeps You Addicted! - 500apps

Play, Create, Conquer: The Ultimate Sandbox for Games That Keeps You Addicted! - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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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...
Two vectors are orthogonal if their dot product is zero. Let’s compute...
\begin{pmatrix} \sin x \\ \cos x \end{pmatrix} \cdot \begin{pmatrix} \...
The dot product is always zero, regardless of \(x\). Hence, the vector...

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