Question

The vector has a magnitude of 5 inches and a direction of 32°. Find the magnitude of its vertical component.
___inches

Answer 1

The vector V has a magnitude of 5 inches and a direction of 32°. Find the magnitude of its vertical component.
___inches

Answer 2

5cos32

Answer 3

how did you know it's a cos

Answer 4

its asking for a vertical so u kno its a cos

Answer 5

thank you :)

Answer 6

how do you know if it's a sine?

Answer 7

The vector V has a magnitude of 6.1 inches and a direction of 55°. Find the magnitude of its veritcal component.
___inches
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here is how i will work it out :)
(6.1)cos(55)

it's vertical so it's cos, right

Answer 8

Cosine, Sine, and Tangent relate to angles, and in particular, to angles of a right triangle.

The length of the sides of a triangle and the angles formed by the sides are related to each other. These functions represent that relation. The cool thing is that, as long as you keep the angles of the triangle the same, it doesn't matter how big the triangle is - the relationship of the sides to each other is the same! So if you make a triangle in which one side is one inch, then draw another triangle with the same three angles and make that same side two inches, the length of the other two sides would also double. That's the relationship described by sine, cosine, and tangent.

To calculate the values for a particular angle, you have to look at a right triangle (a triangle in which one of the three angles is 90 degrees) that includes the angle. So, for example, if you want to find the sine of 75 degrees, you need to look at a triangle with angles of 90, 75, and 15 degrees.

Once you have the angles, you then have to draw a triangle with those angles. It doesn't matter how big the triangle is, since the relationship of the three sides to each other is the same. You then have to measure the sides of the triangle. The sides are named based on their relationship to the angles. The side across from the right angle (the longest side) is called the "hypotenuse". The side across from the angle that you are calculating (in this case, the 75 degrees) is called "opposite" (imagine that!). The side next to the angle that you are calculating that is not the hypotenuse is called "adjacent".

Now you are ready to calculate the three values. The sine is the length of the opposite side divided by the length of the hypotenuse. The cosine is the length of the adjacent side divided by the length of the hypotenuse. And the tangent is the length of the opposite side divided by the length of the adjacent side.

If you haven't taken trigonometry yet, this is probably a bit complicated - see what you have to look forward to?