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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
Hypotenuse = 20/sin580 = 23.58356807
Length of ladder: rounded to 23.584 feet
What are the four quadrants of the earth?
A sphere is not usually divided into 4 quadrants. Dividing by 2 along each of the 3 orthogonal axes partitions the sphere into 8.
How tall is the tree if it have a horizontal distance of 45m an a elevation of 26 degree?
If you are standing 45m from the base of the tree and an imaginary lines from the tip of the tree to the ground forms a 26° angle with the ground, then the tree is 21.95 m tall.
(45m) * tan(26°) = 21.95 m
How do you solve x equals 2 sin x?
The problem x = 2 sin x cannot be solved by using algebraic methods.
One solution is to draw the graphs of y = x and y = 2 sin x.
The two lines will intersect. The values of x where the intersection takes place are the solutions to this problem.
You can tell from the graph that one solution is x=0 and verify this contention by noting that 2 sin(0) = 0.
You can find the other solution through numerical methods and there are many that will give you the correct solution. Perhaps the simplest is to start with a value of X like pi/2 and then take the average of 2*sin(X) and X. Using that as your new value, again take the average of 2*sin(X) and X. As you continue to do this, the value will get closer and closer to the desired value. After 20 steps or so, the precision of your calculator will probably be reached and you will have a pretty good answer of about 1.89549426703398. (A spreadsheet can be used to make these calculations pretty easily.)
What is the reference angle to 960 degrees?
the referance angle of 960 is -60degrees
u have to circle the graph twice so it would be 960-360-360=240 (the 360s are how many turns it takes because it only goes up to 360 degrees so you have to subtract 360 from 960 twice to get it a number that's not over 360). so u get 240 which is graph III the lower left corner and subtract it 180-240=-60.
the angle should be connected with the x-axis never the y-axis..so never subtract from 90 or 270.
What is the exact value of tan 330?
The inexact value of tan 330 is -0.577350, to six significant places.
The exact value cannot be represented as a single number because it is a non terminating decimal. To represent it exactly, consider that tan x is sin x over cos x, and that sin 330 is -0.5 and cos 330 is square root of 0.75. As a result, the exact value of tan 330 is -0.5 divided by square root of 0.75.
The sin of 30 is sqr(3)/2
so 6 * sqr(30) is 6 * sqr(3)/2
this is also 6/2 * sqr(3) which simplifies to 3 * sqr(3) which is approximately 5.19615242
There are several cases when you would want to use the law of sines. When you have angle angle side, angle side angle, or angle side side you would use the law of sines.
What are rigid rectilinear figures?
The only rectilinear figure is a triangle, or one composed of several triangles joined together.
A guy wire attached to a tower 181 feet from the base (190 - 9) and making an angle of 21 degrees with respect to the ground is 505 feet long.
sin (21) = 181 / x
x = 181 / sin (21)
Note: An angle of 21 degrees with respect to the ground is unrealistic. It is probably more correct to say 21 degrees with respect to the tower, which is 69 degrees with respect to the ground. In this case, the guy wire is 194 feet long.
What trigonometric value is equal to cos 62?
The solution is found by applying the definition of complementary trig functions:
Cos (&Theta) = sin (90°-&Theta)
cos (62°) = sin (90°-62°)
Therefore the solution is sin 28°.
29.36 degrees. tan-1(45/80) = 29.36
What are the objectives of teaching trignometry?
The obvious answer is to impart a sound knowledge of the subject in the students. However, you probably want to know why anyone wants to learn trigonometry. The answer to that is this.
Trigonometry is a mathematical tool which is almost essential to know if you want to understand how to build structures cheaply and effectively. With trig. it's easy to figure out where things are most likely to break and how thick structural parts must be to carry loads safely. Trig. is also very useful to understand waves - all sorts of waves such as radio waves and waves on water.
Without trig. engineers would waste so much time trying to work things out that they'd never succeed in any job.
