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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 i to the sixth power?

The powers of i are:

i1 = i

i2 = -1

i1 = -i

i1 = 1

After that, the pattern repeats, so i6 = -1.

Descriptive Statistics vs Inferential Statistics?

Descriptive is when a few represent the whole population. Inferential infer the nature of a lager usually infinite set of data that we don't have.

What size cube has a surface area equal in number to its volume?

Suppose the cube has edges of length x.

Then the area of each face (side) is x2. There are six faces so the total surface area is 6x2. The volume of the cube is x3.

So 6x2 = x3

DIviding both sides by x2 gives x = 6.

What are the famous mathematical problems featuring pi?

The famous mathematical problems featuring pi include finding the area and the circumference of a circle. The value for pi is 3.14.

What information does the slope of a line on a graph provide?

The slope of a line tells a person what the rate of change is for a certain amount of time. For instance, on a graph where distance is the X axis and time is the Y axis, the slope will tell the velocity, literally, distance/time.

If you were to travel through an angle of 8 degrees across the surface of the earth through how many kilometers would you have traveled?

It depends on your latitude. At the equator (0 degrees) a degree of longitude covers just over 111 km, so 8 degrees would be about 890 km.

At 45 degrees of latitude, a degree of longitude covers just under 79 km, so 8 degress would be about 555 km.

Check out the calculator in the related link. Enter the degrees of latitude and it gives the length of a degree at that point.

A piece of string 25cm long goes exactly once around the edge of a plate in the form of a quadrant Calculate the area of the quadrant?

Presumably the plate is completely flat. The circumference will be 4*25 = 100 cm. First find the radius of the plate by rearranging the formula: 2*pi*radius = 100cm radius = 100/2*pi = 15.91549431 cm. Now use the formula pi*radius2 to find the area of the plate, and then divide your answer by 4 to give you the area of the quadrant. pi*15.915494312 = 795.7747155/4 = 198.9436789cm2. Therefore, the area of the quadrant is 199 cm2 correct to three significant figures.

Verify that sin minus cos plus 1 divided by sin plus cos subtract 1 equals sin plus 1 divided by cos?

[sin - cos + 1]/[sin + cos - 1] = [sin + 1]/cosiff [sin - cos + 1]*cos = [sin + 1]*[sin + cos - 1]
iff sin*cos - cos^2 + cos = sin^2 + sin*cos - sin + sin + cos - 1

iff -cos^2 = sin^2 - 1

1 = sin^2 + cos^2, which is true,

How do you fix a scientific calculator?

There are many issues that you may be having with the calculator. You can call Texas Instruments Customer Support at 1-800-842-2737 for general questions regarding your calculator.

How do you find a tangent?

If you have a function f(x), then the tangent can be found by deriving f, denoted

d/dx(f(x)) = f'(x). This will give the slope of f(x) at a certain point (a,b).

find f'(a), call this m. Now, use the standard form for a line, y = mx+c, plug in the point (a,b) to solve for c. Finally, the equation for the line tangent to a point (a,b) and f(x) is y= f'(a)x + c

Why does the formula for area of a sector one half r-squared theta not hold true if theta is measured in degrees?

If this is a homework assignment, please consider trying it yourself first, otherwise the value of the reinforcement to the lesson offered by the homework will be lost on you.

The area of a circle is pi r2.

The area of a sector, defined as the proportion of an angle theta over the angle of a full circle is (pi r2 theta) / (2 pi). That simplifies to (r2 theta) / 2.

Using degrees, the same equation is (pi r2 theta) / 360. That does not simplify any further.

The reason for this is that theta in radians is defined as the proportion of the circumference of the circle, which is 2 pi r. This makes the math come out easier, which is why most trigonometry is done in radians, not degrees.

What does BILsin theta mean?

it is the formula for magnetic field strength

by Amankwah -Yeboah

The length of the longest side of a right triangle is 3 more than the length of the shorter side the length of the hypotenuse is 3 more than the length of the longer side find the length of each side?

Let's call the unknown length x and use Pythagoras' theorem: x2+(x+3)2 = (x+6)2 By substituting 9 for x you'll find that only 9 will satisfy the above conditions. Shorter side = 9 units Longer side = 12 units Hypotenuse = 15 units