By using trigonometry identities find the value of a sin A if TAN A equals half?
tan(A) = 1/2
sin(A)/cos(A) = 1/2
sin2(A)/cos2(A) = 1/4
sin2(A)/[1 - sin2(A)] = 1/4
sin2(A) = 1/4*[1 - sin2(A)]
5/4*sin2(A) = 1/4
sin2(A) = 1/5
sin(A) = ±sqrt(1/5) = ±sqrt(5)/5
Yes, sine is a trig function, it is opposite over hypotenuse.
How would we write a program that calculates the area of a circle and displays the result?
The area of a circle is calculated as πd^2, where π is the constant ratio between the diameter of a circle and its circumference, d is the diameter of the circle and ^2 is the square of their product.
In programming languages where the value of π is not built-in, we must define it. To ensure the maximum possible precision across all implementations of the language, π is typically expressed as arctan (1) * 4.
In C programming, we'd define this constant as follows:
const double PI = atan(1.0) * 4.0; // global constant: e.g., 3.14159265359...
From this we can implement a function to compute the area of a circle:
double area_of_circle (double diameter) { return pow (PI * diameter, 2); }
Note that the atan() and pow() functions are both defined in the C standard library header
How do you calculate the centroid of a trapezium when using a geometic picture?
How do you calculate the centroid of a trapezium when using geometic picture
Sketch a polar curve for r equals negative sin theta?
I regret that the browser provided by answers.com is incapable of displaying even simple graphics.
10*1760*36 = 633600 inches in 60 minutes 10560 inches in 1 minute Circumference of bike wheel = 2*pi*27 = 169.6460033 inches 10560/169.6460033 = 62.24726663 revolutions of bike wheel in 1 minute 62.24726663*360 degrees = 22409.01599 degrees in 1 minute Therefore the bike's wheel spoke has turned through an angle of 22409 degrees in I minute, correct to 5 significant figures.
Is inequality in math is mean two different equation.yes or no?
No.
You can solve an inequality in a similar way to an equation, but you end up with a range of answers (like X > 3) for each variable rather than set of exact answers (like X = 3)
Can the unit circle have a radius of 2 unit?
If the radius is two. it won't be a unit circle, a unit circle is defined as a circle with radius one.
What is the trigonometric of theta?
In trigonometric problems, the Greek letter theta is often used to designate an angle that has not been measured. It is a lot like the way the letter x is used in algebra.
How can you find width of a river using trigonometry with help of diagram?
Can't draw diagrams on a text editor! At its simplest you need a compass and a long tape-measure. Establish a base line of known length along the bank between two points A & B.
Measure its compass bearing. Now from Point A take a bearing as near as possible at 90º to the base line to a distinct point on the far bank - a post, tree-trunk, distinctive boulder, say. Call it Point C. As long as it's visible from B as well.
Now take the bearing from B to C. Correct the bearings to find the actual angles of triangle ABC whose base is AB, "opposite side" is AC and hypotenuse is BC. Call angle ABC, "a".
Now you have a right-angled triangle in which AC is the river's width, W.
SO: W = (AB) Tan a
You can triangulate it with a non-right triangle but I'm afraid you'll have to refer, as I would, to the text-books for the appropriate formula!
OR: go out and buy or borrow a laser range-finder!
If the legs of an isoceles right angle are 7 what is the hypotenuse?
If the legs of an isoceles right triangle are 7, then the hypotenuse is 9.9.
Remember that in a right triangle, the sum of the squares of the sides adjacent to the right angle are equal to the square of the hypotenuse. In this case, the two sides are 7, so the square of the hypotenuse is 72 + 72, or 49 + 49, or 98. The hypotenuse, then, is the square root of 98, or about 9.9.
What is the formula for position with constant velocity?
Positive velocity:
p=vt
(position = velocity*time)
Example: Write the position equation for a person who starts 3 meters behind the reference point and walks with a constant velocity v=6 m/s in the positive direction.
Answer: p=-3+6t
Example: What is the position of the person 5 seconds after the start of motion?
Answer: p=-3+(6x5)=27 m.
Negative velocity:
p=p(0)+vt
p(0) represents the position at time "0" which is also known as the y-intercept or the point where the line crosses the vertical axis. The velocity of the object in motion would be negative.
What do you do in trigonometry?
usually its used to find a missing angle or length of a right triangle. Of course there is more to trigonometry. any way you can use sine, cosine, and tangent, to fine the missing angle or length
Yes, trigonometry is used to graph sine, cosine and tangents waves. Higher pitch and lower pitch and higher and lower amplitude are described with trigonometry equations. Music is trig/math and physics. When we listen to music and think how beautiful it is we are appriciating the mathematics of the waves. It's also Calculus. Derivatives describe the rate which something changes, and as one note changes to the next the changes are derivatives. Even people who have never studied mathematics deeply appriciate it even if they don't know it.
'FOUR' is the only number in the English languagethat is spelt with the same number of letters as the number itself.
What is the surface area of a sphere with a 4 ft diameter?
Surface area = 4*pi*radius2 = 50.265 square feet correct to 3 dp
How did curse words come about?
Swearing originated from the natural human desire to exclaim if things go wrong or hurt. Derogatory descriptions, insults, and exclamations were included along the way, to verbally express upsetting emotions, especially anger. Sometimes these were aimed at other individuals or groups, or to no one in particular.
"Dirty" or offensive words have a variety of sources, from names for fecal matter, to sexual or anatomical descriptions, to illicit or unsavory behavior. Some sources are apocryphal and many are "backronyms" (explanations that occur well after the word is in common use).
Example : s hit
Backronym : For the transport of manure by ship, it was dried first. However, it could regain moisture from leaks and give off methane gas. The gas would collect in the hold and sometimes explode. To avoid this manure shipments would be labeled "Store High In Transit".
Language is a magical thing - it allows us to know what another person is thinking. (No animal has language, or anything like it).
Sometimes the words we say even make things happen in the real world. When a Justice of the Peace says 'I now pronounce you man and wife' his words end your single status. (This is called Deictic language). Because language is so powerful, people are naturally afraid of certain words. Usually these words will be about processes that people fear anyway (again because they are powerful). People fear sex, because it can mess your life up. They fear excretion, because it can contaminate you. And they fear God, because most gods in history have been downright mean. So sex, excretion and God cover most cuss words.
Technically, "curse words" are words that put a curse on you. Even non-superstitious people don't like being put under a curse.
The impact of hurtful words can be as painful as being physically struck. This has had a civilizing effect, allowing angry people to 'fight' each other with words instead of fists. Therefore, we should be glad there is cursing, swearing and dirty words available to release strong emotions without physical damage to people or property!
Crankshaft-runout measuring tool?
In order to perform a crankshaft run out, you need, A dial indicator, = vernier caliper = .
What is Principle of trigonometry?
The basic principle of trigonometry is that there are mathematical relationships between the sides and angles of a triangle.
We don't know until you tell us the measure of angle-A.