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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 period for sine?

Periodic functions are those functions for which the value of the dependent variable repeats itself for certain values of the dependent variable.

example:

F(x)=y

x is the dependent variable (output of the function)

y is the independent variable (input of the function)

F(x1)=y1

F(x2)=y1

As you can see the value of the function is the same for two different values of the dependent variable.

The smallest difference between any two dependent variables giving the same value of the function is the period of the function.

The periodicity of the usual sine function is 2pi. This is how it works:

F(X)=sin(X)

sin(x1)=y

sin(x2)=sin(x1+2pi)=y

sin(x3)=sin(x1+4pi)=y

The smallest difference between any two independent variables (x1 or x2 or x3) is 2pi.

This is also evident from the general sine curve (graphical representation). The sine function has a fixed range from -1 to 1 (i.e.,for sin(x)=y, y can only lie between -1 and 1). So, the interval (difference in values of the independent variable) after which the nature of the wave repeats is it's period. Look at the graph and you'll see that the wave replicates after covering 2pi from the current point.

What do the asymptotes represent when you graph the tangent function?

When you graph a tangent function, the asymptotes represent x values 90 and 270.

What kind of angles does a square have?

Easy! Squares have right angles (90)

D = Degrees

90 is a right angle (Square)

180 is a straight line (Horizontal line)

270+ Reflex angle (A Pac-man Shape)

90x4= 360 - a square has 360 altogether

What is trigonometric identities?

Just as with any other identity, a trigonometric identity is a trigonometric statement (other than a definition), which is true for all values of the variable or variables.

From point A 40 meters from the base of building B the angle of elevation to the top of building C is 51 degree and to the top of the flagpole D on top of building is 56 degree Find height flagpole th?

The language of the question is too ambiguous. In mathematics, we use precise language to avoid this problem. point a is 40 metres from the base of building B the angle of elevation to the top of building C is 51 degree and to the top of the flagpole D on top of building is 56 dedree

A difference between direction and bearing?

For sailors, bearing is the angle measured clockwise from North. For mathematicians, direction is measured counter-clockwise from the positive x-axis. Thus, due East as a bearing would be 90 degrees, since it is 90 degrees clockwise from North, and East as a direction would be 0 degrees, since East is the same as the positive x-axis. So yeah, there you go.

What is bearing in trigonometry?

It is a measure of angular displacement, expressed as a three digit number. It starts at North = 000 and is measured in the clockwise direction.

Which trigonometric functions are even?

Cosine and secant are even trig functions.

What is pipefitting formula for 45 degree offset?

whatever the offset is times it by 1.414 and this will give you your travel then just take off the centres of the 45's and you have your cut length....for instance if the offset is 12 inchs you multiply it by 1.414 you come up with 16.968..meaning 1 foot 4 inchs 15/16 just thought alittle clarity might help if the person was new in trade.

How is trigonometry relevant to our everyday life?

Surveying is all trig. Much trig in physics and engineering,

What is a horizontal ray?

Ray which cross vertical line is called horizental ray....

as simply u can see the gray line is vertical of my text

What are the uses of carpentry in trigonometry?

Trignometry is used to calculate angles in length in carpentry.

Why does spherical trigonometry important?

The earth, which we live on, is approximately a sphere. It is important, therefore, to know spherical trigonometry.

Use the law of cosines to write an expression for a2?

c^2 = A^2 + b^2 - 2abcosx

rearranging would tell you that

A^2 = C^2 + 2abcosx - B^2

What are the classification of angle according to sides?

  • Cosine = adjacent/hypotenuse
  • Sine = opposite/hypotenuse
  • Tangent = opposite/adjacent
  • Secant = hypotenuse/adjacent
  • Cosecant = hypotenuse/opposite
  • Cotangent = adjacent/opposite

What are quadrants in trigonometry?

They are the quarters of a circle which are created by two straight lines intersecting at right angles at its centre.