Trigonometry

Check out these articles for a simple free tool and tutorial that will make trig simple enough for ANYBODY to understand!

http://www.ehow.com/how_5520340_memorize-trig-functions-losing-mind.html

http://www.ehow.com/how_5227490_pass-mind-part-unknown-sides.html

http://www.ehow.com/how_5428511_pass-part-ii-unknown-angles.html

they can be, depending on the information that you are given. If you know lengths of sides, then YES.

There are many ways of finding angles in triangles...one of which is to get a protractor, of course...

Also, if you know two angles, you can find the third by just subtracting the sum of the two angles from 180, which is the total number of degrees in any triangle.

same as a rectangle, i.e. 2(l+b)

The cosine function has an absolute value that cannot exceed 1. Therefore the is no angle x such that cos(x) = 3.

That is, there is no angle x such that x = cos^-1(3).

density x volume

math proffessers, mathematicians, archetecs, engineers, surveers, sructual design, deolition supervisors, rocket scientists

* * * * *

or try spelling them as professors, archiitects, surveyors, structural design, demolition supervisors.

There are also actuarists, statisticians, econometricians, physicists, meteorologists and many other careers.

How to move a specific distance along a line determined by 2 points in 3d space!

Specific distance = m

Distance between the 2 points = D

Distance to move along line from Point #2 toward Point #1 = Displacement = m

Determine the coordinates of the point M (c, d, e), which is m units closer to Point#2

Given 2 points

Point #1 (a, b, c)

Point #2 (g. h, i)

1. Find the distance between the 2 points using Pythagorean Theorem

Think of moving from Point #1 to Point #2 by moving along the x-axis, then the y-axis, then the z-axis.

(g-a) = distance moved along the x-axis

(h-b) = distance moved along the y-axis

(i-c) = distance moved along the x-axisS

D = [(g-a)^2 + (h-e)^2 + (i-c)^2]^0.5

2. Determine the coordinates of the unit vector by dividing the distance moved along each axis by D.

Coordinates of unit vector = [(g-a) ÷ D], [(h-b) ÷ D], [(i-c) ÷ D]

x coordinate of unit vector = (g-a) ÷ D

y coordinate of unit vector = (h-b) ÷ D

z coordinate of unit vector = (i-c) ÷ D

Unit vector = [((g-a) ÷ D)^2 + ((h-e) ÷ D) ^2) + ((i-c) ÷ D) ^2]^0.5) = 1

If the value of the unit vector does not =1, go back and check your work.

3. Multiply each coordinate of the unit vector by m to determine the coordinates of the vector m. These coordinates will be added to coordinates of Point #1 to determine the coordinates of Point #3.

x coordinate of m vector = m * (g-a) ÷ D

y coordinate of m vector = m * (h-b) ÷ D

z coordinate of m vector = m * (i-c) ÷ D

4. To determine the coordinates of Point #3(d, e, f) that is m cm from Point #1 toward Point #2, add the coordinates of the m vector to the coordinates of Point #1.

d = x coordinate of Point #3 = a + (m * (g-a) ÷ D)

e = y coordinate of Point #3 = b + (m * (h-b) ÷ D)

f = z coordinate of Point #3 = c + (m * (i-c) ÷ D)

5. To determine the distance from Point #1 (a, b, c) to Point #3 (d, e, f), use Pythagorean Theorem

D = [(d-a)^2 + (e-b)^2 + (f-c)^2]^0.5

The answer should be m.

I wanted to move 2 cm from Point #1 toward Point #2, and I did.

Now let's see if this method works!! Point #1 = (2,3,1), Point #2 = (6,9,3)

I want to move 2 cm from Point #1 toward Point #2, that means m = 2 cm.

1. Find the distance between the 2 points using Pythagorean Theorem

D = [(g-a)^2 + (h-e)^2 + (i-c)^2]^0.5

D = [(6-2)^2 + (9-3)^2 + (3-1)^2]^0.5

D = [(4)^2 + (6)^2 + (2)^2]^0.5

D = [16 + 36 + (4)]^0.5

D = 56^0.5

D = 7.4833

So the line between these Point #1 and Point #2 is 7.483 units long

2. Determine the coordinates of the unit vector by dividing the distance moved along each axis by D.

Distance moved along x-axis = 4

Distance moved along y-axis = 6

Distance moved along z-axis = 2

x-coordinate of unit vector = 4 ÷ 7.4833 = 0.5345

y-coordinate of unit vector = 6 ÷ 7.483 = 0.8018

z-coordinate of unit vector = 2 ÷ 7.483 = 0.2673

Length of unit vector = [(0.5345)^2 + (0.8018)^2+ (0.2673)^2]^0.5 = 1

The length of the unit vector should = 1

3. Multiply each coordinate of the unit vector by m to determine the coordinates of the vector m.

x coordinate of m vector = m * (g-a) ÷ D = 2 * 0.5345 = 1.069

y coordinate of m vector = m * (h-b) ÷ D = 2 * 0.8018 = 1.6036

z coordinate of m vector = m * (i-c) ÷ D = 2 * 0.2673 = 0.5346

m vector = [1.069^2 + (1.6036)^2 + (1.5346)^2]^0.5 = 2

4. To determine the coordinates of the Point #3 (d, e, f) that is m cm from Point #1 toward Point #2, add the coordinates of the m vector to the coordinates of Point #1 (a, b, c).

Point #1 = (2, 3, 1)

x coordinate of Point #3 = 2 + 1.069 = 3.069

y coordinate of Point #3 = 3 +1.6036 = 4.6036

z coordinate of Point #3 = 1+ 0.5346 = 1.5346

Point #3 = (3.069, 4.6036, 1.5346)

5. To determine the distance from Point#1 to Point #3, use Pythagorean Theorem

D = [(d-a)^2 + (e-b)^2 + (f-c)^2]^0.5

D = [(3.069-2)^2 + (4.6036-3)^2 + (1.5346-1)^2]^0.5

D = [(1.069)^2 + (1.6036)^2 + (0.5346)^2]^0.5 = 2

D = 2 cm

I wanted to move 2 cm from Point #1 toward Point #2, and I did.

tan(141 deg) = -0.8098 approx.

a2 - b2 = (a - b)(a + b)

cos2x + 2sinx - 2 = 0

(1-2sin2x)+2sinx-2=0

-(2sin2x-2sinx+1)=0

-2sinx(sinx+1)=0

-2sinx=0 , sinx+1=0

sinx=0 , sinx=1

x= 0(pi) , pi/2 , pi

Study hard, check your work.

There are four kinds of relations in ordered pairs:

one to one (each x value is unique and has a unique y value associated with it)

one to many (each x value has multiple possible y values)

many to one (each y value has multiple possible x values)

many to many (x and y values can be repeated and are not unique)

See the related link for more helpful information.

theta = 0 is the only solution.

Two cups or 16 fluid ounces.

Plane assumes a flat surface, where the angles of a triangle always add up to exactly 180 degrees. Spherical assumes a curved surface (such as the surface of the Earth, where the angles of a triangle add up to more than 180.

Sound is a mechanical wave that is an oscillation of pressure transmitted through a solid, liquid, or gas, composed of frequencies within the range of hearing and of a level sufficiently strong to be heard, or the sensation stimulated in organs of hearing by such vibrations.

This is a code that you use to redeem full access to a game and it becomes yours to play forever.

As tan(x)=sin(x)/cos(x)

and sin(pi/4) = cos(pi/4) (= sqrt(2)/2)

then tan(pi/4) = 1

There is no single answer since the correct ratio depends on what information you do have.

Its like the Golden Gate Bridge or a staircase I have the same toype of homework and I can't find the pictures to this but think of a right angle and match it to a real life thing.

This is not sufficient information. The angles of a triangle add up to 180o and so all that can be deduced is that the remaining angles add up to 180o-38o which is 142o.

Trigonometric identities involve certain functions of one or more angles. These identities are useful whenever expressions involving trigonometric functions need to be simplified.