MHB Finding X & Y Components of Vectors

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To find the x and y components of a vector, the formulas Ax = A cos(θ) and Ay = A sin(θ) are used. For a vector of 9.55 m at -48.0 degrees, the calculation for Ay results in approximately -7.10 m after applying the sine function. A reminder is given to ensure the calculator is set to the correct mode, as using radians instead of degrees can lead to errors. Additionally, the property of sine is highlighted, noting that sin(-x) equals -sin(x). Understanding these principles is essential for accurately determining vector components.
Coder74
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Im learning about how to find the x and y components of a vector, but I wanted to verify if I'm on the right track..

Ax=A cos(\theta) <-- solving for x

Ay=A sin(\theta) <-- solving for y

So if a vector is 9.55m long and points in a -48.0 degree direction.

Is it Ay= 9.55 sin(-48.0)=7.3
 
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I get:

$$A_y=9.55\sin\left(-48^{\circ}\right)\text{ m}=-9.55\sin\left(48^{\circ}\right)\text{ m}\approx-7.10\text{ m}$$

Your calculator is in radian mode...and don't forget $\sin(-x)=-\sin(x)$...:D
 

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