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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 convert meters per second to radians per second?
Only if its metres / sec in a circular path, then you would need the radius to work out its revs per second, then multiply by (2 * pi) to get radians / sec.
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Example 10 m/s at 10 m radius
Circumference = 2 * pi * r = 2 * 3.1416 * 10 = 62.832 meters
So, 10 / 62.832 = 0.159 revs / sec
Then, 0.159 * 2 * pi = 1 rad / sec
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However, you can boil down the sequence to leave :
rad / sec = velocity (m/s) / radius (m)
What is horizontal acceleration?
It is acceleration in the horizontal direction. This would happen as a result of a net horizontal force acting on a body.
Can the perimeter or area of a rectangle ever be an irrational number?
Yes, the perimeter or area of a rectangle can be an irrational number. Thanks
A horizontal angle is an angle between lines on a horizontal plane.
cosine = adjacent/hypotenuse.
It can be used as other trig functions can.
Is ABC trangle an trangle DEF If so name which similarity postulate or theorem applies.?
None; because there is no justification for assuming that the two triangles (or trangles, as you prefer to call them) are similar.
Why the following triangle with sides 2.5 6.5 and 6 is a right angle triangle or not?
It is a right angle triangle because it complies with Pythagoras' theorem.
Why was trigonometry invented?
To solve problems ranging from the simple right-angle triangle that give the 3 basic ratios of Sine, Cosine and Tangent, via surveying and navigation, to the mathematics of such fields as harmonic analysis, vectors, electricity & electronics, etc. Indeed without Trigonometry you would not be able to ask about it on the Internet: we would not even have the electricity supply.
One very important point... I have the impression that many 'Answers' users - school pupils I suspect - who regard each field of maths (Trig, Algebra, Calculus etc) as separate academic subjects. They are not: they are all interlinked topics within Mathematics, and there are many real-world problems that require all those 3 example topics in one go. For example, Integrating a harmonic function (in acoustics and electronics, for examples) needs high algebraic skill in order to combine the calculus and the trigonometry and arrive at the correct answer.
What trigonometric ratio is in a Mazda?
Pardon? To which aspect of the car are you referring? There are ratios between the gears, but they are not trigonometrical. (Unless you are analysing the advanced trig. of the teeth geometry of the gears themselves... but then you would not be asking questions like that since you'd have a Degree in Engineering!).
How did trigonometry contribute to the Eiffel Tower?
It would have been used by its designers to calculate all sorts of dimensions from component lengths to calculating the forces given by the combined wind pressure and occupant loads on the structure.
If the cosine of B is 65 what is the angle?
Cosine cannot have this kind of high value, it ranges from -1 to +1
Why do you use greek alphabet in trigonometry?
For conventional reasons based on history. Personally, I rarely use the Greek alphabet because it is more of a hassle on the keyboard.
What is trigonometry all about?
The word, trigonometry" is derived from trigon = triangle + metry = measurement. It is based on the study of angles of a triangle and their properties. Although trigonometric ratios are often introduced to students in the context of triangles, their properties for all angles.
For example, trigonometric functions are well defined for angles with negative values as well as for more than 180 degrees even though no triangle can possibly have angles with such measures.
Is it possble for a triangle to have a right angle and an obtuse angle?
Not a plane triangle. With a triangle on a convex surface (eg on the surface of a sphere), the answer is Yes.
How do you solve 4 cosine squared theta equals 1?
4*cos2(theta) = 1
cos2(theta) = 1/4
cos(theta) = sqrt(1/4) = ±1/2
Now cos(theta) = 1/2 =>
theta = 60 + 360k
or
theta = 300 + 360k
while
Now cos(theta) = -1/2 =>
theta = 120 + 360k
or
theta = 240 + 360k
where k is an integer.
Every person who went to secondary school in the UK (and probably all other countries). They may not have learned much and retained even less but they must have studied it.
What does delta mean in maths?
There are many meanings. The most common one is "change in". So delta x is the change in x. This form is often used in calculus where it means very small changes in x.
But there is also the Dirac delta function, a fundamental mathematical underpinning for quantum physics.
A delta can also be a quadrilateral which is otherwise known as an arrowhead.
Angles are measured in degrees, minutes and seconds as for example 660 30' 54''
How do you input trigonometric functions in Microsoft Excel?
You can use the Insert Function button and choose the Math and Trigonometry category. From there you can pick the function you need and enter it in. All the main ones are there.
You can enter in the radians using the PI function. So to get the SINE for 45° you would enter it as follows:
=SIN(45*PI()/180)
You can also use the RADIANS function:
=SIN(RADIANS(45))
