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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

Describe a trapezium?

A trapezium is a rectangle with its top line shorter then the bottom one.

Who invented the theodolite?

Jonathan Sisson invented the theodolite, which measures both horizontal and vertical angles, in 1720, according to the Alberta Land Surveyor's Association. This instrument resembles a mounted telescope, and a user can adjust the height of the platform so his eyes are level with the ocular lens.

Formula for volume of a triangular prism?

Find the area of a triangular section, 1/2bh, and then multiply by the length of the prism.

What is the relationship between trigonometry and differential calculus?

Just like most any other set of functions, trigonometric functions are subject to differentiation. Trig functions are cool (at least sin and cos are) because as you differentiate, they cycle through until you get back where you started.

How can you get free worksheets on Trigonometry?

Just Look Around Or If Worse comes to worse buy a trig text book

Solid mensuration cylinder problems with solution?

find the volume & total surface of a square pyramid, the side of the base being 4meters & height 5meters

What is the formula of a triangle?

You need to specify what quantity you're trying to find.

Five lines about aryabhatta?

arya bhat is very good man who invented the no. o. agar hamare pas zero na hota to hum kahan hote.

What is the formula for volume of a partial cylinder - my cylinder is horiz. w a 60'Dia 2'L and has 18'H full.?

v = lcos^-1 (1-(y/r))r^2+l sqrt[(2r-y)y](y-r)=pi (ry^2-(y^3/3))

where v=volume, y=height of liquid in tank, r=radius of tank, l=Length of tank

Or you can just use this:

http://grapevine.abe.msstate.edu/~fto/tools/vol/parthcylinder.html

Formula for a triangular prism?

The answer depends on formula for WHAT! Its surface area, number of edges, mass, volume. And since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.

Geometry in mathematics comes under pure mathematics or applied mathematics?

When you study the theory of geometry, it is pure mathematics.

However, when you start using the geometry you have learned in other, more practical areas, then it becomes applied.

How do you know if an equation is not linear?

Linear equations come in the form y=mx+b or y=mx-b, where x and y are the variables x and y and b is a constant (like 3). All other equations are non-linear.

Linear equations has a power of 1!

as long as the X has a power of 1, it is a linear equation.

What is the formula and solution of this problem an angle of 50 degrees in standard position has its terminal side in the first quadrant. find the coordinates of point P on the unit circle.?

This is somewhat difficult to explain without images, but here goes:

You can use the information given in the problem to draw a right triangle on your coordinate axes. The hypotenuse of this right triangle should extend from the origin to point P and make a 50 degree angle with the x-axis. We'll call this hypotenuse r, which in this case is 1 (because we're dealing with the unit circle). If you extend a line down from point P perpendicular to the x-axis, the segment formed, which we will call y, will be the side of the right triangle opposite the 50 degree angle. The remaining side, x, lies along the x-axis between the origin and the point where side y intercepts the x axis.

Recognize that side x and side y represent, respectively, the x and y coordinates of P. These values can be found using trigonometric relationships.

Recall that sin(a) = opposite/hypotenuse. In this case, a = 50, the opposite side is y, and the hypotenuse is r=1, so we can rewrite this equation as

sin(50) = y/r = y

Which means that y is simply sin(50).

Similarly, cos(a) = adjacent/hypotenuse, so cos(50) = x/r = x. x = cos(50).

P is therefore located at (cos[50], sin[50])

What is the limit of arc tan?

The principal range of arc tan is an angle in the open interval (-pi/2, pi/2) radians = (-90, 90) degrees.

What is a cartesian coordinate system?

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.

What is the value of sin60?

sin(60 degrees) = 0.8660 approx. The exact value is sqrt(3)/2.

What is Contribution of trigonometry to maths?

Trigonometry originated in ancient times, and was closely related to geometry. It was useful especially in astronomy and navigation.

Later on trigonometry led to the idea of sine waves as fundamental for analysing vibrations of all kinds. Trigonometric functions occur in the theory of complex numbers, and now the trig functions turn up in many places in mathematics and its applications, from optics to the theory of alternating current in electrical engineering. The uses of the trig functions have spread far beyond the original ones.