Trigonometry

Yes, you should take both pre-calc and trig before ap calc. Both of those course help lay the fundamentals of ap calc.

Resolving a force into components along mutually perpendicular directions requires the calculation of the cosine and sine of the angle made by the force with one of them.

The resultant of two two forces acting at right angles to one another is in the direction whose tangent is proportional to the forces.

It's called a rectangular prism

you cant because 7 8 9!! hahahahahaaa lolz it is 33 though.

43 AND 47

For Cartesian coordinates in n-dimensional space there are n axes which are [usually] orthogonal and which meet at a single point called the origin. The coordinates of any point in the n-space are defined by ordered n-tuples whose terms refer to the distances of the point, from the origin, along each of the axes.

A pentagonal prism.

There is not enough information to be able to find the last side.

They are the adjacent and the opposite sides with the hypotenuse being the longest side

Not true.

tan(45) = 1 is a whole number.

sin(0) = 0 and sin(90) = 1 are whole numbers.

So the question is based on nonsense!

A quadrilateral, or four-sided plane figure with 1 pair of parallel lines

trigonometry

Many calculators, as well as any modern desktop computer, will have a function to tell you the SIN to many decimal places of accuracy. There are also books with pages of trig functions, and you would look up the angle you want.

To get an approximation with pencil and paper, do this:

1. Start with a horizontal line.

2. Using a protractor, draw the angle crossing your horizontal.

3. Make a right triangle by extending a vertical line that crosses the angled line and the horizontal.

4. Measure the height of the vertical from the horizontal to the intersection with the angled line (the opposite side of the triangle from where your angle is.

5. Measure the hypotenuse (longest side of the triangle).

6. Divide the opposite length by the hypotenuse length.

Yes.

Decagon

4 more units, making 7 units in total.

I posted an answer about cube roots of complex numbers. The same info can be applied to square roots. (see related links)

See the related link below.

5

In a right triangle, the tangent of an angle other than the right angle is the ratio of the length of the side opposite the angle over the length of the side adjacent to the angle (the side between the angle and the right angle).

Because in a right angle triangle the square of its hypotenuse is always equal to the sum of each side squared.

If the length is L, the rise is R and the angle is x degrees, then

sin(x) = R/L so that x = arcsin(R/L) or sin-1(R/L)

Use Pythagoras' theorem of a2+b2 = c2 whereas a and b are the sides of a right angle triangle with c being its hypotenuse or longest side.

Geometry was developed by ancient civilizations in Egypt, Mesopotamia, and the Indus Valley, among others. It arose out of the need to calculate measurements for purposes of construction, surveying, and navigation.