kaliyab191

10.12.2020 •

Spanish

In a traditional Latin American home, which of the following most closely compares with the Christmas tree in many U.S. homes?

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Ответ:

firepropr85

09.05.2023

Spanish

$\theta = \frac{\pi}{4}$

Explanation:

Given

$\uparrow A * B = B * \uparrow A$

Required

Determine the angle between A and B

We start with:

$\uparrow A * B = ABsin\theta$

and

$B * \uparrow A = ABcos\theta$

Subtract both equations

$ABsin\theta - ABcos\theta = \uparrow A B - B\uparrow A$

$ABsin\theta - ABcos\theta = 0$

$ABsin\theta = ABcos\theta$

Divide both sides by AB --- assume no null vectors

$sin\theta = cos\theta$

Divide both sides by $cos\theta$

$\frac{sin\theta}{cos\theta} = \frac{cos\theta}{cos\theta}$

$tan\theta = 1$

Take tan inverse of both sides

$\theta = tan^{-1}(1)$

$\theta = 45^\circ$

Convert to radians

$\theta = \frac{180}{4}^\circ$

$\theta = \frac{\pi}{4}$

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