Trigonometry

that purely depends on the given polygon and any information about it

There are infinitely many polygons which have this property. The easiest to think of is a right triangle. But there are also quadrilaterals, pentagons, etc., that can be constructed that have this property.

If cos B is 5/13, find sin B, tan B, sec B, and cot B?

sin= y/r= 12/13
cos= x/r= 5/13
tan= y/x= 12/5
csc= r/y= 13/12
sec= r/x= 13/5
cot= x/y= 5/12

x2+y2=r2

cot[x]= -1

cot[x] = cos[x] / sin[x]

cos[x] / sin[x] = -1

cos[x] = -sin[x]

|cos[x]| = |sin[x]| at every multiple of Pi/4 + Pi/2. However, the signs disagree at 3Pi/4 + nPi, where n is an integer.

To find the sine ratio of a right-angled triangle divide the opposite by the hypotenuse.

For example: 4/5 = 0.8 units and sine-1(0.8) = 53.13010235 degrees.

sin 0=13/85

4

tan(22.5)=0.414213562

In a triangle ABC, with side a opposite angle A, side b opposite angle B and side c opposite angle C,

the sine rule is: sin(A)/a = sin(B)/b = sin(C)/c

The cosine rule is: a2 = b2 + c2 - 2bc*cos(A)

and, by symmetry,

b2 = c2 + a2 - 2ca*cos(B)

c2 = a2 + b2 - 2ab*cos(C)

tan A says nothing about tan B without further information.

tan u/2 = sin u/1+cos u

Since sin(theta) = 1/cosec(theta) the first two terms simply camcel out and you are left with 1 divided by tan(theta), which is cot(theta).

The difference may be due to the thickness of the can.

cos(32 deg) = 0.8480 approx.

It is 2*sin(theta)*sin(theta) because that is how multiplication is defined!

cos(A + B) = cosAcosB - sinAsinB, with A=B, cos(2A) = cos2A - sin2A, then you can use cos2A + sin2A = 1, to produce more, like: [2cos2A - 1] or [1 - 2sin2A], and others.

phi = [(1+sqrt(5)]/2 = 1.6180, the golden ratio.

cosine(phi) = -0.0472 approx.

Often the distressed people may not know their exact location. However, if two or more stations pick up their distress signals then each station can determine the direction from which the signal came. Trigonometric calculations can determine the exact location of the point from which the distress signal was sent and a S&R team is sent off to that location.

The value is 0.

y2 = 32x

y = ±√32x

the vertex is (0, 0) and the axis of symmetry is x-axis or y = 0

Two pairs of equal sides.

Yes, a seven sided figure, known as a "heptagon", has straight sides. As long as none of the sides are curved or doesn't connect, then it's a polygon.

i will end this with an epic smiley face of doom! :D

Trigonometry is used in CSI in calculating bullet or other projectile trajectories, ballistics, analyzing what actually happened in automobile collisions, how objects fall from heights, and in many many other ways.