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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 a right triangle the longest side which is opposite the right angle?
in a right angle triangle, yes it is 90 degrees an it opposite would be the hypotenuse.
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How far back will a 12 lb ball be while being dragged from a boat going 3 miles per hour 40 ft down?
The difficulty with your question is that it does not clearly define the problem. For example, a 12 pound ball made of lead will weigh the same as a 12 pound ball made of balsa wood, but the balsa wood ball (measuring several feet across) will float where the 12 pound ball made of lead will measure just a couple inches across and sink readily. To further complicate things, the line (rope or chain) you use to drag the ball also creates drag just as the ball would do. The size of the line and what it is made of is important, too, because the line will hang in what is called a catenary, a kind of sag in the line. There is a formula for the catenary, a formula for the drag on the ball, and a formula for the drag on the line, itself.
The final consideration is the consistency of the sea bottom. Dragging a ball through kelp will be different than dragging a ball across packed mud or loose gravel.
There are many things to consider besides speed, depth, and weight of a ball. Put all that together and then you mightget a close answer to what you seek.
To give you an idea that will get you in the ball park, so to speak, assume that the line drags out to an exact triangle. There are three sides to the triangle: a, b, and the hypotenuse (c). Assuming the drag will cause a 45 degree angle, then the depth down (a) will be the same as how "far back" the ball is (b) and the hypotenuse (how long the line is) will be the square root of the sums of the squares of the two sides (c). That is, as the Scarecrow quoted Pythagoras in the Wizard of Oz, "The square of the hypotenuse is equal to the sums of the squares of the other two sides!" In this case, two times forty squared is 3200 and the square root of that is just over 56 1/2 feet. But, remember: this won't be anywhere near where a real ball and line will be. The problem is more complex than a lesson from the Scarecrow.
~Let us not forget to include the salinity of the waters involved, which would affect the bouyancy of any items in it. Plus, whether or not this alleged ball is actually round, or somehow oval in shape. Plus; 40 feet down and how far outwill make yet another difference to your recalculations.
What is the hypotenuse of a right angle triangle give two sides of 30ft and 160ft?
Pythagoras theorem: a2+b2=c2 (where c is the hypotenuse and a and b are the two other sides)
Substitute:
302+1602= \/26500 = (10\/265)ft
Does the sine function appear to be continuous?
Yes, it does "appear" to be continuous, by the simple fact that it is continuous for all values of the input.
Is there a right triangle equal to pi?
No, it is not.
A triangle is a two-dimensional figure whereas pi is a dimension-less number.
How are you using pythagorean theorem in science especially physics and engineer?
The distance, in 2-D space, between the points whose coordinates are (x1, y1) and (x2, y2) is sqrt[(x1 - x2)^2 + (y1 - y2)^2] : a straight application of Pythagorean theorem. The extension to 3-D space is simply to include the corresponding term using x1 and z2.
What is the largest angle of a triangle with sides of 5.8 cm 14.1 cm and 8.3 cm?
The given dimensions will not form any kind of triangle because the sum of its 2 smallest sides is equal to its longest side and so therefore finding the largest angle is not possible.
Given that sin p equals 50 degrees express tan -130 degrees in terms of p?
Sin p is a ratio and so a number: it cannot have units such as degrees. As a result, the question is meaningless and so cannot be answered.
Why is mathematics categorized into pure and applied?
Applied mathematics focuses on the application of mathematical principles to real world problems, and even some abstract problems. Engineering, theoretical physics, and computer science all make use of applied mathematics, and frequently firms of these types will employ mathematicians to supplement their group of employees. I.e. some video game developers employ mathematicians for complex physics modeling equations. Some physicists seek the help of mathematicians to provide rigorous proofs and other mathematical support for abstract concepts.
Pure math is the study of math, with the goal being the improvement of the foundations or concepts of math. Pure math is the study of the underlying mechanisms that cause mathematical techniques to work, the improvement and justification of these techniques and development of new techniques all fall under pure math. I.e. developing a substitute for traditional trigonometry would be pure math(chose that example because someone recently did that). They also analyze abstract math problems and see what concepts could apply to them or why they work.
The *are separated for the same reason physics and engineering are separated.
It would be less efficient to focus on both the development of mathematical concepts and ways to apply these concepts to the real world. Too much workload for most students. In the same vein a physicist doesn't have time to learn all the technology and applications of physics to eliminate the job of an engineer, even though the physicist probably has a better understanding of the physics that the engineer would use on a daily basis.
I'm sure there are places to improve this answer. Please feel free.
What is the solution to cos2 plus cos2tan2 equals 1?
cos2 + cos2tan2 = cos2 + cos2*sin2/cos2 = cos2 + sin2 which is identically equal to 1.
So the solution is all angles.
What significance and advantage did the invention of logarithm bring to man?
The significance of logarithms to man is:
Logarithmic functions are used in many fields mainly based in many courses offered by some schools.Logarithmic functions are usually used by some students who study on engineering and in their lines of interests that tackles about logarithmic problems.Engineers specially uses this during the construction and the measurement of their projects.Without the use of logarithms today,Sciences and other fields that have connection on Science that uses logarithms are meant to be useless where such tool is missing on it. Logarithms greatly affects the school based sciences and even international findings.
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-Professor of Norwalk - La Mirada Unified School District
What are 26 geometrical facts and features fom A to Z?
Angles are classed as acute, right, obtuse and reflex
Base angles of an isosceles triangle are equal
Circumference of a circle is its perimeter and has a full turn of 360 degrees
Diameter of a circle is twice its radius
Equilateral triangle has 3 equal sides and 3 equal angles of 60 degrees
Fourteen degrees is an acute angle which is greater than 0 but less than 90 degrees
Geometry is derived from a Greek word meaning land or earth measurement
Heptagon is a 7 sided polygon
Interior angles of any polygon are: (n-2)*180 whereas 'n' is number of its sides
Joined line segments create angles and polygons
Kite is a 4 sided quadrilateral
Line segments have end points and a mid point
Multi-faced shapes are polyhedrons
Nonagon is a 9 sided polygon
Obtuse angle is greater than 90 but less than 180 degrees
Perpendicular lines meet at right angles which is 90 degrees
Quadrilaterals are 4 sided polygons
Right angle is 90 degrees and a reflex angle is greater than 180 degrees
Square is a regular polygon with 4 equal sides and 4 equal right angles
Triangle has 3 sides and 3 interior angles that add up to 180 degrees
Undecagon is an 11 sided polygon
Vertical opposite equal angles are created when lines cross as in X
Width times breadth is the area of a rectangle
X axis is the horizontal number line on the Cartesian plane
Y axis is the vertical number line on the Cartesian plane
Z as a letter has equal alternate angles
How does inclinded planes help?
In terms of mechanics, an inclined plane is a machine. To raise something through a given height, it takes less force to roll or slide it along an inclined plane as opposed to lifting it straight up. The down side is that you have to roll or push it much further than a simple lift. In the absence of friction, the total work done, in either case, is exactly the same.
How do you find radians using the conversion factor?
One way to remember it is: a full circle is 2pi radians, or 360°, so 2pi radians = 360°, and then you multiply degrees by (2pi/360 radians per degree) = pi/180 radians per degree.
