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Trigonometry

Trigonometry is a field of mathematics. It is the study of triangles. Trigonometry includes planar trigonometry, spherical trigonometry, finding unknown values in triangles, trigonometric functions, and trigonometric function graphs.

3,810 Questions

What is the meaning of metrites in math?

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Should you take pre-calc or trig before ap calc?

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

How is trignometry used in physics?

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.

How do you add 2 and 7?

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

What are cartesian coordinate systems?

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.

How would you describe a trapezium?

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

How do you find SIN in 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.

What are two sides of the right triangle that are not opposite to the right angle?

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

Why are numbers you get in trigonometry never whole numbers but have to be rounded?

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!

What do you think is true of the square roots of a complex number?

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

When you say Tangent of 30 equals -6.40 does the -6.40 represent the length or angle of something else?

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).

Why are there so many ways to prove the pythagorean theorem?

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

How do you determine the radius or degrees of an arc knowing only the length and rise?

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)

How do you do compositions of functions backwards?

I am not entirely sure what you mean; in general, if you change the order of composition, you will usually get different results: f(g(x)) is usually NOT equal to g(f(x)).

What are a score or more facts about angles in geometry?

1 Angles are measured in degrees, minutes and seconds

2 Angles can be measured with a protractor

3 Angles can be found using trigonometry

4 Angles in a regular polygon are equal

5 Angles around a circle is a full rotation of 360 degrees

6 Angles around a point add up to 360 degrees

7 Angles in a polygon are: (n-2)*180 whereas 'n' is the number of its sides

8 Angles greater than 0 but less than 90 degrees are acute

9 Angle of 90 degrees is a right angle

10 Angles greater than 90 but less than 180 degrees are obtuse

11 Angles greater than 180 degrees are reflex

12 Angle of elevation is looking up at an object

13 Angle of depression is looking down at an object

14 Angles are formed when a transversal line cuts through parallel lines

15 Angles of 90 degrees are formed when perpendicular lines meet

16 Angles can be bisected with a compass and a straight edge

17 Angle of the tangent of a right angle triangle is: opposite/adjacent

18 Angle of the sine of a right angle triangle is: opposite/hypotenuse

19 Angle of the cosine of a right angle triangle is: adjacent/hypotenuse

20 Angle of rotation is used in a transformation on the Cartesian plane

21 Angles that meet at 180 degrees on a straight line are supplementary

22 Angles that form a right angle are complementary

23 Angles of 360 degrees once represented a year in ancient Babylonian

24 Angles of 518,400 degrees are passed by the minute hand of a clock in a day and 31,104,000 degrees by its second hand in 24 hours