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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 find the sum of the angles in a ploygon?

If the polygon (not ploygon!) has n vertices, the sum of the angles is (n-2)*pi radians or (n-2)*180 degrees.

How do you solve 6cos2 theta plus 5cos theta minus 4 equal to 0?

Assume the first term is cos-squared(theta) rather than cos(2*theta).

6cos2(t) + 5cos(t) - 4 = 0

[6cos2(t) + 8cos(t) - 3 cos(t) - 4] = 0

[3cos(t) + 4]*[2cos(t) - 1] = 0

which gives

3cos(t) = -4 so that cos(t) = -4/3

or

2cos(t) = 1 so that cos(t) = 1/2

The first of these is clearly not a possible solution, whereas the second can hve one or more solutions, depending on the domain - which is not specified in the question.

If the initial assumption is incorrect and the first term WAS 6cos(2*theta) then using the formula for double angles:

cos(2(t) = cos2(t) - sin2(t) = cos2(t) - [1 - cos2(t)] = 2cos2(t) - 1

and so, the equation becomes

6*[2cos2(t) - 1] + 5cos(t) - 4 = 0

or 12cos2(t) + 5cos(t) - 10 = 0

Solve this quadratic equation for cos(t) and then find the values of t (or theta) within the domain specified.

What are the trigonometric inverse of sine 1 over 2?

(30+360*k) and (150+360*k) degrees where k is any integer.

What is the diagonal of square field?

It is the distance between opposite corners and it can be worked by using Pythagoras' theorem.

How would you solve d theta divided by 4.28?

d theta divided by 4.28 is not an equation or inequality: it is an expression. An expression cannot be solved.

What does the word regular mean for a geometric shape?

It means that the sides are of equal lengths and that the interior angles are of equal sizes

Pounding a metal into a shape called?

When a metal can pounded into shape it is called malleable. Malleability is a physical property associated with metals where they can be hammered or pressed into a shape.

Why trigonometry taught as a part of mathematics?

Because it is a branch of mathematics that is concerned with measurements of angles and sides of triangles, and following from that, areas and other characteristics.

What is the correlation between gradient of incline and degrees of the angle in Bruce protocol?

I just called my cardiologist's office for an answer to this one (I'm scheduled for a nuclear stress test that uses the Bruce protocol). Here's what the person who will administer my test told me:

It's the percentage of 90 degrees, 0% being no incline, 100% being straight up, perpendicular to the floor. The test begins at 1.7 mph with an incline of 10%, or 9 degrees. The incline is raised every three minutes by 2%, or 1.8 degrees. So at Level 2, the incline is 10.8 degrees, Level 3 12.6 degrees, Level 4 15.2 degrees, etc. -Joe

What is the median of 10 18 19 19 19 19 19 20 21?

19

If your asking how, if you put your finger on 10 and 21, move them towards the middle until they hit the same place, if they appear next to each other then the number in between it is the median and if there is many numbers, do the first way with those numbers and there you have it, pretty simple but maybe a bit hard to understand. if you do not understand my way, ask your math teacher and she will tell you how.

Where did the word August come from?

The month of August comes from Augustus Caesar who was the nephew of Julius Caesar.

The name Augustus itself is derived from the Latin verb augere, "to magnify; to extol". It means "majestic; venerable".

Is crescent a polygon?

No, a crescent is not a polygon. It is the area between two arcs of different radii that intersect each other.

Theoretically, the crescent could be considered to be a polygon with an infinite number of infinitesimally small sides, but that is not the standard interpretation.

Why is tangent 180 degrees undefined?

It's not. The tangent of 180 degrees is zero.

Consider tan(x) = sin(x)/cos(x). When x = 180 degrees, sin(x) = 0 and cos(x) = -1 and so tan(x) = 0