Trigonometry

exactly 1

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.

Thousands, if not more.

There are all sorts of musical instruments.

There are instruments for performing many different tasks.

Then there are instruments for measuring all sorts of physical, chemical properties of things.

Sin(37) is 0.602

They are true statements about trigonometric ratios and their relationships irrespective of the value of the angle.

112

The line of the ecliptic is the path that the sun appears to trace through the sky over the period of a year.

No, polygons are made of straight, non-overlapping sides. An ellipse has curves.

There are no pyramids with an odd number of edges.

A pyramid is defined as a polygon for the base, with triangular shaped faces rising from the base's edges to a common point above the plane. As a result, the number of rising edges is always equal to the number of base edges, meaning that the total number of edges is always even.

The Y-Intercept of the cosine function is X = 0, Y = cosine(0) = 1.

Trigonometry is used effectively in electronics.

Yes, they can exist.

In angle measurement, 60 minutes = 1°

57° 12' = 57.2 °

Sin 57.2 = 0.84057 (5dp)

You may set the correct distance by trying different angles so that you feel confortable when climbing the ladder. Approximately between 80 to 130 cm. But it is the correct angle that can tell you the adequate distance from the wall. Only by climbing a ladder you know it. I advise you to put a piece of rubber under the ladder so that it can't slip.

Bicycle wheels with a diameter of 26 inches, travelling 35 miles per hour, are turning 452 revolutions per minute.

35 miles per hour is 36,960 inches per minute (25 *5280 * 12 / 60)

26 inches diameter is 81.7 inches circumference, so the revolutions per minute is 36,960 / 81.7 or 452 revolutions per minute.

tan3A-sqrt3=0

tan3A=sqrt3

3A=tan^-1(sqrt3)

3A= pi/3+npi

A=pi/9+npi/3

n=any integer

Assuming that means degrees, that's the same as -30 degrees. The sine of -30 degrees is exactly -0.5, the cosine is +root(3)/2, or about 0.866. You can deduce the remaining trigonometric functions from these; for example, tan(x) = sin(x) / cos(x).

The tangent is the ratio of sine over cosine; also, in a unit circle, Y over X.

First find the radius and then the area will be pi*radius2

circumference = 2*pi*radius = 100 units

radius = 100 divided by 2*pi = 15.91549431 units

area = pi*15.915494312 = 795.7747155 square units

So the area of the circle is 796 square units correct to three significant figures.

SOH CAH TOA is a way of remembering what the functions sin, cos, & tan mean in a right angle triangle.

With a triangle with one of the acute angles labelled (theta) the longest side H (Hypotenuse), the side opposite the labelled angle O, and the short side closest to the angle A (Adjacent)

SOH ->SIN(Theta)=0/H

CAH ->COS(Theta)=A/H

TOA ->TAN(Theta)=O/A

Their sum must be 60.

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