how do you find new coordinates when you are asked to rotate a triangle 90 degrees,w/ given coordinates?
96228
If you rotate a point A=(a,b) 90 deg C.C.W about the origin, new coordination will be (-b,a). \n\nIf you rotate the point about some other point like (m,n) in a same manner, new coordination will be (n+m-b,a-m+n)\n\nProof:\nMove the origin to (m,n), then new coordination will be:\n(a-m,b-n) \nThen rotate it:\n(n-b,a-m)\nthen move the origin back:\n(n+m-b,a-m+n)
1128048
Regarding your edit... y = 90º is wrong. All the rest have shown the process, and they are right. With tthat figure, y = 108º
843247
You have enough information.\n\nIf I understand you correctly, you have the (N,E) coordinates for points A and F.  So given what you know so far, you should be able to compute coordinates for points B, C, and E.  All you need for a complete picture is coordinates for D.  Lets call them (N(D), E(D)).\n\nNow you know the distance DE. Using the distance formula,\n\n(DE)^2 = [N(E) - N(D)]^2 + [E(E) - E(D)]^2 \nthis is one equation with two unknowns.\n\nAlso, you know the azimuth for CD.  Call it θ.\nThen tan(θ) =   [E(D) - E(C)] / [N(D) - N(C)]\nthis is a second equation with the same two unknowns.\n\nTwo equations, two unknowns.  Solve simultaneously to get\nN(D) and E(D).\n\nOnce you have the coordinates you can compute missing azimuth and missing distance.\nIf you would like to email me the numbers I'll take a look.
733210
You basically have 2 options. Use a protractor and measure them (The internal angles total 180 degrees).\n\nThe other option is using the trig functions (Sin, cos and tan), however you must have some info on the triangle eg. length of sides to apply any of these.
958527
You need to know the angle between "x" and "y", call it "a"\nLet initial position of "x" be "x0"\nLet the time from start of "x" be "t"\nLet "z" be the distance between "x" and "y" at time "t"\n\nThen:  \ny = 38 + 2t\nx = x0 + 11t   \n\nAnd from Pythagoras:\nz^2 = x^2 + y^2 - 2xycos(a)\n\nHopefully that gets you started....
390709
Two angles whose sum is 90 degrees.
844622
i take it that you are talking about \nthe complex plane here\nrotations are anticlockwise and\nabout the origin\n\nif you want to rotate your points or \nvectors through 90 degrees,multiply\nby i\n\nif you want to rotate your points or \nvectors through 180 degrees,multiply\nby i^2 ie -1\n \nif you want to rotate your points or \nvectors through 270 degrees,multiply\nby i^3 ie -i\nnote that multiplying by -i is the same as\nrotating clockwise through 90 degrees\n\nif you want to rotate your points or \nvectors through 360 degrees,multiply\nby i^4 ie 1\nnote that rotating by 360 degrees \nis the same as staying still\n\ni hope that this helps
399435
transformed shape X for example.\n\nWhen writing transformations out. You should always say (in this case for a rotation)\n\nShape X is rotated 90 degrees clockwise about point (1,1) onto transformed Shape Y.\n\nThis may not be correct, but that's what we were taught in school... and lets just say A*'s are my worst marks :)
979191
When converting from rectangular coordinates to polar coordinated, remember the following.\n\n@ = Theta\nx = r*cos(@)\ny =r*sin(@)\n\nr^2 = x^2 +y^2\n\ntan(@) = y/x\n\nso your equation\nx^2 +y^2 =36 becomes\nr^2 = 36   OR\nr =6 (which is a circle with radius 6)
937186
WTF IS THE TRIANGLE AND THE U FOR AND HOW DO U MAKE THE TRIANGLE... THERE ISNT A KEY OR ANYTHING...
103557
8/5 the initial iteration (triangle)
606300
well, think about it- how many degrees are there in ALL triangles? \n\nif you know 2 angles, you only need one more. Let's say 2 angles were 44 and 72. The two angles combined are 44+72. If you know how many degrees there are overall, you would subtract how many you have from what you know needs to be there!
436114
well, you could be an architect and be using a 30-60-90 triangle and you needed to know a particular side of it. you can use x times the square root of 3, x being the shorter leg, to find the length of the longer leg.
831103
I would change cos 2 theta to 2 cos squared theta -1.\n\nYou then have a quadratic in cos theta.
176268
If you are constructing an angle that is equal to another angle, here are the steps.\n\n\n\nOn the original angle, label the vertex v1.\nPut the point of the compass on v1.\n\nSwing an arc that crosses both sides of the angle. Label the points where the arc crosses the sides of the angle a1 and b1.\n\nDraw a straight line where you want to construct your new angle.\n\nMark a point on the line to be the vertex of the angle you are constructing. Label it v2\n\nWithout changing the compass setting put the point of the compass on v2.\n\nSwing an arc that crosses the line and is wider than the angle you want to draw. Label the point where the arc crosses the line a2.\n\nPut the point of the compass at a1.\n\nAdjust the width of the compass so that the pencil is at b1.\n\nWithout changing the compass setting put the point of the compass at point a2.\n\nSwing an arc that crosses the first arc you drew. Label the intersection b2.\n\nDraw a straight line from the b2 to v2.\n\nDone.
826563
multiply the tangent of the given angle by the known side as long as it's not the sloping side (i.e. the hypotenuse). You will need a scientific calculator to do this. I am assuming of course that you are dealing with a right triangle. This will give you the other side of the triangle. Example:\n\nlets say you have side A of a right triangle and an angle of 30 degrees and A = 10. Take your scientific calculator press 30 and then the tan button depending on the type of caculator you have. Now multiply that result by 10 and you will get side B.\n\nSide C is found by A^2 + B^2 = C^2. take the square root for your answer.\n\nNow if the given angle is opposite the given side. Just calculate the angle of the given side by adding the given angle to 90 degrees and subtract the result from 180, and then multiply the tangent of the new new angle by the given side.\n\nTheoretically you can check the answer by multiplying the new side by the tangent of the new angle. You should in theory get the given side. But my trig is so rusty I may have forgotten more than  you will ever know. good luck.
199013
add 2 other angle in degree and substract from 180\n ie. c=180 -(a+b)\nwhere a ,b are known angles \nand c is unknown angle