Trigonometry

In the simplest case, a geometric probability is one that is given in terms of the ratio of two areas. For example, suppose a parachutist could land anywhere on a 10 square kilometre area of open country with equal probability, and you wanted to know how probable it would be that the parachutist would land on a designated area of 2 square kilometres with that part of open country.

Then the probability would be 2 / 10 = 0.2

The same principles apply in more and more difficult or complex cases, and in spaces of higher dimension. For instance, one can discuss geometric probabilities involving three-dimensional space.

Trigonometry functions are used to work out the various properties of triangles.

See the attached link, from Wikipedia about the theta function.

Ladders are used typically for reaching high distances. When one is not tall enough for such height, the ladder is strategically placed as to ensure the safety and the well being of the reacher. Normally, the ladder will be placed at a 90 degree angle, thus forming a right triangle. Henceforth, ladders are very important in everyday life...unless you are the jolly green giant...who does not need them. Ladders have also been compared to stairs or steps (one could imagine this being where the word 'step-ladder' derived from). Step-ladders are aproximately smaller then regular ladders and usually used to reach things on high shelves or on top of fridge/ovens or to reach cookie jars by five year olds. Ladders can be used to put up Christmas tree stars, Christmas lights, and oversized satellite dishes on the roof of your house. You may purchase a ladder or step-ladder at your local Lowes or Home Depot or department stores.

Converting three dimensional settings for projecting onto 2-d screens requires trigonometry.

For any pure note, the vibration of the string or the compression waves of air is a sine (or cosine) curve. Harmonic notes are sine curves whose frequencies are multiples of the basic frequency.

sin(60) or sin(PI/3) = sqrt(3)/2

cos(60) or cos(PI/3)=1/2

tan(60) or tan(PI/3) = sin(60)/cos(60)=sqrt(3)

But we want tan for -sqrt(3). Tangent is negative in quadrant II and IV.

In Quadrant IV, we compute 360-60=300 or 2PI-PI/3 =5PI/3

tan(5PI/3) = -sqrt(3)

Tangent is also negative in the second quadrant, so we compute PI-PI/3=2PI/3 or 120 degrees.

tan(t)=-sqrt(3)

t=5PI/3 or 2PI/3

The period of tan is PI

The general solution is

t = 5PI/3+ n PI, where n is any integer

t = 2PI/3+ n PI, where n is any integer

Area = 0.5*21*28 = 294 square inches

so what you do is Soh Cah Toa, Cah for cosine so if you have a triangle you do the length of the adjacent divided by hypotenuse and the number you get (the rest depends on the calculator) you press 2nd or shift then cos button on your calculator. remember the calculator must be scientific

the actual formula is cosine theta=a

h

then you write the numbers in and you should know the rest

You express it as a number in the interval [0, 1] or, equivalently, as a percentage in the range [0%, 100%].

The rectangular or Cartesian coordinate system was devised by Rene Descartes. The system consists of a plane containing two mutually perpendicular axes which cross at a point called the origin.

Usually the axes are referred to as the x-axis which is horizontal, and the y-axis which is vertical. Each axis has a negative and a positive direction. Again, conventionally, the positive direction of the x-axis is to the right and that for the y-axis is upwards. These are only conventions since, when studying the motion of objects moving under gravity (among other forces), it is often convenient to use the downward direction as being positive.

The position of any point in the plane is identified by its distances from the origin along the two axes.

No, but cos(-x) = cos(x), because the cosine function is an even function.

There are several applications.

Light, in common with other electromagnetic radiation, is propagated in waves. These waves follow a sine (or cosine) curve.

Light is reflected off a smooth surface at the same angle as the incident light.

Refraction of light is governed by Snell's law. According to the law, the ratio of the sines of the angle of incidence and the angle of refraction is equal to the inverse of the ratio of the refractive indices of the two media.

i would suppose so trig is just a series of forms and proves to find an unknown or a know factor.. trig can and has been used to measure distance and height before so i would have to say yes you can.. as long as you have all the given factors needed

sin is short for sine, cos for cosine, tan for tangent. These functions are defined in several ways; one way is with a unit circle - a circle with radius 1, in which angles are measured starting on the right, and then counterclockwise. In this case, the sine is the y-coordinate on the circle - as a function of the angle. For example, for an angle of 0°, the y-coordinate is 0; for an angle of 90°, the y-coordinate is 1. Therefore, the sine of 0° is said to be zero, and the sine of 90° is said to be one. Similarly, the cosine is the x-coordinate. The tangent of x is the ratio of sine x / cosine x. - Note that in advanced math, angles are often measured in radians instead of the (rather arbitrary) degrees.

An altitude.

The sine of an angle in a right triangle is opposite/hypotenuse, where opposite is the only side that is not adjacent to the angle you want to find the sine of, and the hypotenuse is the side opposite the right angle in the triangle.

Just find opposite/hypotenuse.

The sine ratio plays an important part in the refraction of light at the interface of two media through which the light travels - such as the interface between air and the glass of a lens.

try using my formula....

ar=a(1/2)^2t

therefore, 57(.05) = 57(1/2)^2t

and 57s cancels out, .05 = 1/2^2t

log .05 = log .5^2t

divide log .5 from both sides,

4.32 = 2t

t = 2.16, therefore 126 seconds or 2 minutes and 6 seconds

The answer depends on what other information is available to you.

The largest angle will be opposite the longest side which is 14 cm and by using the cosine rule it works out as 106.23 degrees rounded to two decimal places and its area is 0.5*9*8.5*sin(106.23) = 36.726 square cm to three decimal places.

The problem with trying to learn things is that sometimes you do not have the experience, or the readiness, to learn them. When the teacher has a particular thing to teach and there is not any other way that the work can be done then their comments can seem like they don't listen. I have heard comments like this about different teachers and it often has to do with not agreeing with a student request to change the assignment or expectation. Most teachers are there because they do want to pass on the information, so the thing is to figure out what you need to ask to get what you need.

cos(2x) = 1 - 2(sin(x)^2), so sin(x)^2 = 1/2 - 1/2*cos(2x).

my answer is 5

almost all kind of engineer