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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 calculate tangent of an angle?

the tangent of an angle is equal to the length of the opposite side from the angle divided by the length of the side adjacent to the angle.

What is foult?

A *fault* is a slip or crack in the earths crust.

What is a rectilinear figure?

A rectilinear figure is a polygon such that all its sides meet at right angles. The only convex shapes are a rectangle (or square), but it can also be a concave shape with some interior angles of 270 degrees.

What is the exact value of sin150?

sin150 is 0.5

Remember that 150o is 5π/6 radians and the reference angle is π/6 or 30o.

sin30 is 0.5

What is 7w plus 2 equals 3w plus 94?

7w+ 2= 3w+94;

You will always have to subtract the one with the smallest number so:

7w+2= 3w+94 3 is the smallest number so u subtract it on both sides

-3w -3w

____________

4w+2= 0+94

4w+2= 94 2 is the smallest number given so u subtract 2 on both sides

-2 -2

4w=92 You divide 4 on both sides (92 divided by 4)

w= 23 So ANSWER IS 23!

To check your answer plug in 23 to the given problem to see if you got it right

7(23)+2 = 3(23)+94

161+2 69+94

So 63=63, meaning the answer is correct.

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

Is sine a trig function?

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 or in if using C++.

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.

Suppose a bike wheel has a radius of 27 inches if the bike is rolling at 10 miles per hour through what angle does spoke turn in 1 minute?

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

Is trigonometry in music?

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.