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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

How do you calculate a dish end dimensions?

Determine the volume of a dished head.

T Head thickness, after forming Sp Spherical radius, internal Kr Knuckle radius, internal D Outside Head diameter Sf Straight flange

Internal diameter, id = D - ( 2 x T )

Head depth (less straight flange), Hd = Sp - Sqrt( [ ( Sp - Kr ) 2 - ( ( id /2 ) - Kr ) 2 ]

Knuckle, included angle = ArcSin( ( Sp - Hd ) / ( Sp - Kr ) )

Depth of Knuckle Section, H1 = Kr x Sin( Knuckle included angle )

Depth of Spherical Section, H2 = Hd - H1

Temporary variable, A = ( id / 2 ) - Kr

Temporary variable, B = Sqrt( Kr2 - H12 )

Diameter where spherical radius intersects the knuckle radius, D2 = id - ( 2 x Kr ) + ( 2 x B )

Volume1 = Pi x A x H1 x [ A + Sqrt( Kr2 - H12 ) ] + [ Pi x ( Kr2 ) x [ H1 + [ A x ArcSin( H1 /Kr ) ]] - [ ( Pi /3 ) x H13 ]]

Volume2 = H22 x Pi [ Sp - ( H2 /3 ) ]

Volume3 = [ ( id2 x Pi ) /4 ] x Sf ...volume contained in straight flange

Hv, head volume ( not including straight flange portion )

Hv = ( Volume1 + Volume2 ) /1000000

Total Head volume, mm² = ( Volume1 + Volume2 + Volume3 ) /1000000

What is the definition of plane trigonometry?

Plane trigonometry is trigonometry carried out in (on) a plane. This could be contrasted with spherical trigonometry, which is trigonometry carried out on the surface of a sphere. Certainly there are some other more complex forms of trig.

Usage of trigonometry in mechanical engineering?

Trig is used in inspection. This is the department where every component made will be checked to make sure that it has been made to a satisfactory standard. Trig simply calculates all angles when taking other diemsions, so anles can be worked out.

Angles in standard position?

Placing a question mark at the end of a phrase does not make it a sensible question. Try to use a whole sentence to describe what it is that you want answered.

How many degrees in a hectagon?

Total is 17640 degrees

Each angle is 176.4 degrees.

How do you find the central angle of a circle?

Put the percent in decimal form, than mutiply it by 360 degrees.

Project on Height and Distance?

ideas on height and distances project with examples

Square root of 2 Times Square root of 2?

The square root of two times the square root of two equals two

A prayer with mathematical terms?

lord sorry for all of our sin,

forgive us lord to make it correct

Lord teach us to number our days

And graph them according to your ways

Trusting you to base me in our plan

To complement your perfect diagram

Subtract the points you do not want from us

But add the values you have set for us

Divide the dividends we possess accordingly

So I can multiply them systematically.

Draw the lines we have to follow

Guide us properly with your arrow

Because sometimes we tend to be irrational

Yet all the while you want for us is to be rational.

Well we learn that life is like a slope

With its ascends and descends that I must cope

Going through such a wonderful formula

Give thanks and praise your Almighty creation

What is the reciprocal of the tangent?

The reciprocal of the tangent is the cotangent, or cot. We might write 1/tan = cot.

How do you work out the trigonometry of a rectangular based pyramid?

The answer depends on what you wish to work out: the angles, height, surface area, volume. Also, you need more information: the vertical or inclined height and whether or not the pyramid is a right pyramid.

Calculate 45 degree offset when the travel is known?

A 45 degree offset has a travel of 200mm. calculate the rise of the offset.

What is a delta in math?

Delta, is just a Greek letter very used in Math. It's meaning depends on the context.

But a very common meaning, specially for capital delta ( a triangle) is difference. For instance, a temperature Delta usually means the difference of the temperatures of 2 objects. In your case, it probably means the difference of the given values

Why do you use greek symbols in trigonometry?

because the greek started trig 2000 years ago to work out where they were using the stars

What is tangent line?

tan A = (sin A) / (cos A)

tan (A)= opposite side length/adjacent side length

A is an angle measurement; amount of degrees or radians.

If a line is tangent to a curve, it only touches the curve at one point. looks like )| but the line is touching the curve.

In a circle, the tangent line touches the circle at one point and is perpinducular to the circle's radius if it is touching that same point.

What is 23 as a percent?

To convert from decimal to percentage, you times 100.

2.3 * 100 = 230%

How does a trapezium look like?

A trapezium is a 4 sided quadrilateral with a pair of opposite parallel sides that have different lengths

What are the trigonometry functions?

sin(A)= opp./hyp.

cos(A)= adj./hyp.

tan(A)= opp./adj.

sin(A)= opp ÷ hyp

cos(A)= adj ÷ hyp

tan(A)= opp ÷ adj

For a diagram of what the sides of a right triangle are, go to http://upload.wikimedia.org/wikipedia/commons/4/4f/TrigonometryTriangle.svg.