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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 trigonometry is used in physics?

Physics deals with many vectors: displacement, velocity, acceleration, forces and so on. Trigonometry is required if dealing with two or more forces unless they are all parallel.

How do you find the length of the longest side on a right angle triangle?

A squared+ B squared=C squared. find the square root of the answer and you get the longest side.

Where is the location of the alps?

The Alps are a mountain range located in Europe. They pass through Switzerland, Austria, Slovenia, Germany, Italy, France, Liechtenstein, Germany, and Monaco.

How do you prove the diagonals of an isosceles triangle congruent?

You can't because triangles do not have diagonals but an isosceles triangle has 2 equal sides

Where does the word cosine come from?

The word "cosine" comes from the New Latin word "cosinus".

How do you solve sine theta equal to negative one half?

Consider angles in standard position, and note that for the equation sin θ = 0.5, the angle in the first quadrant is θ = 30°

The sin function is positive in quadrants I and II, and negative in quadrants III and IV, so there are two basic answers, one in quadrant III and another in quadrant IV.

In quadrant III, the angle is 180° + 30° = 210°

In quadrant IV, the angle is 360° - 30° = 330°

Of course, this is a wave function so there are an infinite number of answers. You can add full circles (i.e. multiples of 360°) to either of these answers to get more answers.

In quadrant III, the angles are 210°, 570°, 930°, ...

In quadrant IV, the angles are 330°, 690°, 1050°, ...

How do you make woking models of mathematics?

Make sure you follow all of the rules of the field of mathematics for which you are making the model.

Can pi be expressed as a right triangle?

you can see one answer in this issue : " right triangle in wich the sum of the legs is close to pi" available through google search .

How could you describe the sine function?

You may have to draw this to understand the Sine function for a right triangle (degree mode on a calculator).

Draw a right triangle. Choose either angle (not the right angle, < div> C)) which will be referred to as < (Angle

The "Hypotenuse" is the longest side (IE. the side opposite

Sine is a function used so that if you know the Hypotenuse or the Opposite side's length, and the angle, you can find the one you do not have.

Sine(A) = Opposite/Hypotenuse. No, that does not mean all you have to do is divide the two. You have put in your calculator (yes, you need a calculator for this. It's impossible without it. Sine is sin on a calculator.) sin(A) = Opposite/Hypotenuse. On paper, it's Sine(A) = O/H. You replace the one you do not know as X.

Example if the Hypotenuse is 32 and

Now, if you know both the Opposite and the Hypotenuse but not the angle measure, use the inverse of Sine. O = 29.44. H=32. The answer should be close to 64. On paper, Sine-1= 27.44/32. On the calculator, sin-1(29.44/32) which equals 66.93. Very close. If you actually use the exact number, it will be exact. But that is almost impossible as the numbers are usually irrational. So an estimate is tolerable.

In a right triangle, the sine of an angle is the ratio of the opposite side to the hypotenuse. However, this only restricts the domain to (0, pi/2). Sine is actually defined using a unit circle. For a given point on the unit circle, the sine of that angle is the y-coordinate of that point, and the cosine of that angle is the x-coordinate.

Because of the periodic nature of the sine wave (after once around the unit circle, it repeats), it can be used to describe waves, such as sound waves, light waves, etc.

What is the cosin of 78?

cos (78 degrees) = 0.20791 (rounded)

cos (78 radians) = -0.85780 (rounded)

cos (78 grads) = 0.33874 (rounded)

Where did the word happiness come from?

Happiness (15th century) is a form of the Middle English word happy (14th century)

Can you solve sin 2 theta equals 0?

If sin2(theta) = 0, then theta is N pi, N being any integer

How do you solve for the angle of a right triangle The hypotenuse is nine and the opposite side is 7 I need to find the angle closest to the 90 degree angle Dont just put SOHCAHTOA please explain it?

The angle is sin-1(7/9) = 51.05755873 or about 51 degrees

Alternatively using Pythagoras' theorem the smaller side is 4*sq rt of 2

So angle tan-1(7/4*sq rt of 2) = 51.05755873 or about 51 degrees

Trigonometry prove questions?

Neither trigonometry nor any other subject can be used to prove questions. It may be possible to answer questions but that is another matter,

Who are the mathematician who had a contribution in trigonometry?

Thales, Democritus, Pythagoras, Aristotle, Archimedes, Euclid, Erastosthenes, Hipparchus,

Without a calculator how can theta be determined from the expression tan theta equals sqr of 5?

I'm asuming you meant "ten theta"

the square of 5 is 25

25 divided by 10 is 2.5

so theta equals 2.5

there you go =)

What are the basic trigonometric ratios?

Sine(Sin) Cosine(Cos) Tangent(Tan) ---- -Sin of angle A=opposite leg of angle A / hypotenuse -Cos of angle A= Adjacent leg of angle A / Hypotenuse -Tan of angle A= opposite leg of angle A / Adjacent lef of angle A

What is the use of astronomy in trigonometry?

Geometry is used as a conceptual language to transliteral the meaning of conceptual order in design. The abstract definition is used to demostrate pathways in elliptical orbit using the transeptual phi. Geometry is used to determine measurement, speed velocity, momentum, direction, distance, relativity, and probabilitic measure in astronomical bodies, through equations of multiplicity using point axes in determinable coordinates, using inference models in relational relativity point span. Geometry is the point of resolution through which the observer determines the observable world, and thus comes to know himself.

What is sin23A minus sin7A upon sin2A plus sin14A if A equals pi upon 21?

Using the identity, sin(X)+sin(Y) = 2*sin[(x+y)/2]*cos[(x-y)/2]

the expression becomes

{2*sin[(23A-7A)/2]*cos[(23A+7A)/2]}/{2*sin[(2A+14A)/2]*cos[(2A-14A)/2]}

= {2*sin(8A)*cos(15A)}/{2*sin(8A)*cos(-6A)}

= cos(15A)/cos(-6A)}

= cos(15A)/cos(6A)} since cos(-x) = cos(x)

When A = pi/21,

15A = 15*pi/21

and 6A = 6*pi/21 = pi - 15pi/21

Therefore, cos(6A) = - cos(15A)

and hence the expression = -1.