Trigonometry

The circumference of a circle C is 2Pixr So solving for r we have C/2Pi=r

No. A circle has no straight lines. You can approximate circles with very small straight lines (that's how a computer draws circles) but mathematically, no.

The sine theta of an angle (in a right triangle) is the side opposite of the angle divided by the hypotenuse.

In effect, you have a right-angled triangle with an adjacent angle of 41.3o and an opposite side of 114 feet. There are several ways to find the length of the string (which in effect is the hypotenuse of the triangle), but in this case, the quickest way is to use the sine ratio. For any right-angled triangle: sin angle = opposite/hypotenuse. Rearranging the equation: hypotenuse = opposite/sin angle hypotenuse = 114/sin 41.3o hypotenuse = 172.7268362 feet. Therefore, the string is 173 feet in length correct to the nearest foot.

The trigonometric functions are sine, cosine and tangent along with their reciprocals and the inverses. Whether the angle is acute or obtuse (or reflex) makes no difference).

12:16 and 39 seconds. It is too hard to explain the answer without diagrams.

It depends on what else you know. If it is a non-right triangle, and you only know angle a, it is impossible to fing side A (the side opposite an angle usually has the same letter, but capitalized). If you know the other two sides, then I would use the law of cosines: For a triangle with sides A B C A = √(B2+C2-(2*B*C*(cos (a)))) If you know another angle and one side, I would use the law sines: A/(sin a) = B/(sin b) therefore, A = (sin a) * B/(sin b) If it is a right triangle, and you know another side, than your job is even easier: If you know the hypotenuse (side C), than: A = C *(sin a) If you know the adjacent side (side B), than: A = B * (tan a)

Cotan(theta) is the reciprocal of the tan(theta). So, cot(theta) = 1/2.

2 11 4 10 6 9 8 8 10 7

30 feet. And you don't have to round it to the nearest foot. It's exactly 30 feet.

The diagonal is SQUAREROOT(1022 + 2962) = 313.08ft Angle = tan-1(102/296) = 19.01 degrees

1.428148

Tangent, in geometry, is used to describe when figures have only one point in common.

In Trig. tangent is applied to triangles.

It has 4

Origin and axes.

A trapezium is a quadrilateral (has four sides).

Two sides are parellel, but the other two are not.

To find the area of it, the formula is: 1/2 h(a+b)

Positive x negative = negative

(Negative x positive = negative)

Positive x positive = positive

Negative x negative = positive

So if the signs are the same the answer is positive and if they are different it is negative.

It has many purposes for exmaple building, architecture, astronomy and engineering.

Amongst the lay public of non-mathematicians and non-scientists, trigonometry is known chiefly for its application to measurement problems, yet is also often used in ways that are far more subtle, such as its place in the theory of music; still other uses are more technical, such as in number theory. The mathematical topics of Fourier series and Fourier transforms rely heavily on knowledge of trigonometric functions and find application in a number of areas, including statistics.

An elipse is like a circle that is a bit flattened.
an ellipse is an oval.

Two types of trigonometry are recognized: planar and spherical. Planar is 2-dimensional, while spherical is 3-dimensional. Though these are different fields, spherical trigonometry is really just an application of planar trigonometry in several planes.

It is said that Rene Descartes was lying, ill in bed, when he noticed an insect on the ceiling. He realised that he could identify the exact location of the insect by specifying only two numbers: the distance of the insect from a given corner of the room in two different directions.

That sounds like a triangular prism.

A number that makes an equation true is its solution.

Reciprocal of Cosine is Secant