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Suppose that we are given a vector with magnitude M and angle g. To resolve a vector into its horizontal and vertical components, we first diagram the vector as the hypotenuse of an isosceles triangle. The angle given is put at the bottom left corner of the triangle. We calculate the vertical component as M sin g. We calculate the horizontal component as M arcsin g. We have to be careful with the trigonometric functions and be sure that our values are for degrees or radians according to how the angle g is given.

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User Belmiris
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Answer:

Errors:

1) Hypotenuse pertains to right triangles - if the triangle were isosceles then the acute angles would each be necessarily 45 degrees.

2) the horizontal component is M cos g

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User JLS
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