## Trigonometry

Parent Category: Math and Arithmetic
Trigonometry is a field of mathematics. It is the study of triangles. Trigonometry includes planar trigonometry, spherical trigonometry, finding unknown values in triangles, trigonometric functions, and trigonometric function graphs.
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...
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...
tan3A-sqrt3=0 tan3A=sqrt3 3A=tan^-1(sqrt3) 3A=pi/3+npi A=pi/9+npi/3 n=any integer
If you are asking what culture first developed trigonometry, thestudy of triangles can be traced back to the Egyptians andBabylonians as early as the 2nd millennium BC.
Since you didn't specify which trigonometric function you'reusing, I'll give you all of them. .120 in Degrees .sin120 ~ 0.87 .cos120 ~ -0.5 .tan120 ~ -1.73 .csc120 ~ 1.15 .sec120=-2 .cot120 ~ -0.58 .Answer in Degrees .arctan120 ~ 89.52 .arccot120 ~ 0.48 .120 in Radians ....
Assuming that means degrees, that's the same as -30 degrees. Thesine of -30 degrees is exactly -0.5, the cosine is +root(3)/2, orabout 0.866. You can deduce the remaining trigonometric functionsfrom these; for example, tan(x)=sin(x) / cos(x).
It is easiest to find these using the unit circle. Assuming youwant exact values for sin, cos, and tan. 240 degrees is equal to 4[Pi]/3 radians. cos(4[Pi]/3) and sin(4[Pi]/3) are easy to find using the unitcircle, cos(4[Pi]/3)=-1/2 sin(4[Pi]/3)=-(Sqrt[3])/2 To find tan, you will need to do a...
In angle measurement, 60 minutes=1Â° 57Â° 12'=57.2 Â° Sin 57.2=0.84057 (5dp)
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...
i34 is the complex part of the number 0+i34. The real part is 0, so this is a purely imaginary number.
Trignometry is used to calculate angles in length in carpentry.
The volume of a triangular prism can be found with the followingformula, in which a, b, and c are base sides and h is the height: V=0.25h(-a 4 + 2(ab) 2 + 2(ac) 2 -b 4 + 2(bc) 2 - c 4 ) 1/2
The length, or magnetude, of the vector is the square root of (6^2+ 8^2), or 10. The angle of inclination is tan-1 of (8/6), or 53.13degrees.
If sin 2 (theta)=0, then theta is N pi , N being any integer
To convert meters to feet, multiply by 3.281. It does not matter about the "per second squared" since that is present in both sides.
A tetrahedron has four faces and vertices. .Faces: 4 .Vetices: 4 .Edges: 6
Suppose the radius is r and the bearings of the two points, P and Q are p and q respectively. Then the coordinates of P are [r*cos(p), r*sin(p)] and the coordinates of Q are [r*cos(q), r*sin(q)]. The distance between these two points can be found, using Pythagoras: d 2=(x q - x p ) 2 + (y...
No. If I drop a class, it should make no difference at all to your admissions decision. If you drop a class it can. Check with the school.
An example of a real life exponential function in electronics is the voltage across a capacitor or inductor when excited through a resistor. Another example is the amplitude as a function of frequency of a signal passing through a filter, when past the -3db point.
Let the sides be abc and their opposite angles be ABC and so: .Using the cosine rule angle A=67.38 degrees .Using the cosine rule angle B=67.38 degrees .Angle C: 180-67.38-67.38=45.24 degrees
The period of a 15MHz sine wave is 1 / 15MHz, or 0.066667 us, or 66 2 / 3 ns.
b X h=bh\2=area 2x3=6\2=3 good luck!!
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...
False. In fact, the opposite is true: all pyramids have an even number of edges.
The Y-Intercept of the cosine function is X=0, Y=cosine(0)=1.
Suppose the wall is represented by the y-axis and the ground as thex-axis. Let the position of the man be given by M=(x, y). Then, since M is the midpoint of the ladder, the base of the ladder is atA=(2x, 0). also, the point where it touches the wall is B=(0, 2y). Now, AB is the length of...
In a circle ,there are 4 quadrants,each quadrant have 90 degree angle, therefore 4x90=360 degree so 361 degree angle will be in first quadrant.
Cot(x) [cot 2 (x)-cot 2 (x)] [cot 3 (x)-cot 3 (x)] cot(x)=cot 2 (x) The second through fifth terms cancel each other out in pairs. The square brackets were added to make this clear.
\nRange: The range is the set of all possible output values (usually y), which result from using the function formula.\n.\n.\n.\nDomain: The domain of a function is the set of all possible input values (usually x), which allows the function formula to work.
Since triangles have three sides and must have interior angles equal to pi or 180 o , the three interior angles in all equilateral triangles will be pi/3 or 60 o . However, equilateral triangles must also have equal side lengths. Since equilateral triangles with interior angles of 60 o will not...
Angle A + Angle B + Angle C=180 degrees. If one angle equals 90 degrees then it is a right triangle and the lengths of the sides are in a ratio such that A squared plus B squared equals C squared (Pythagorean Theorem)
Easy! Squares have right angles (90) D=Degrees 90 is a right angle (Square) 180 is a straight line (Horizontal line) 270+ Reflex angle (A Pac-man Shape) 90x4=360 - a square has 360 altogether
I'll take a shot at this, but it's all assumptions and guesswork, since the question is so ambiguous: -- The question doesn't state how many sides the figure has, or whether the 'b' is an angle or a side. -- Assume that we're working with a right triangle, because the question uses the word ...
Measurements of a trigon (or triangle).
It is the Cartesian plane or grid system whereas coordinates of x and y are plotted on it.
Here's how you can find any power (fractions would be a root of a number) of any number (complex or real). A real number is a subset of the complex number set, with the imaginary part=0. I'll refer you to a related link on Euler's formula for information about how this is derived. A complex...
In a 30-60-90 triangle, the measure of the hypotenuse is two times that of the leg opposite the 30 o angle. The measure of the other leg is SQRT(3) times that of the leg opposite the 30 o angle.
You need to be able to solve logarithms and be very good at algebra. In college, you have to be able to do college level algebra before you can take trig.
tan (30 degrees) would be equal to 0.577350269.
C=25 in The Pythagorean Theorem allows you to find the thrid side of a right triangle, if you know the other two sides. The formula is a 2 + b 2=c 2 . CALCULATIONS: 15 2 + 20 2=c 2 225 + 400=c 2 625=c 2 c=Square Root of 625 c=25 * * * * * There is another...
The area of a triangle with two sides equal to 1 foot and the angle between those two sides equal to 45 degrees is 0.354 square feet. Draw a triangle, one side of length 1, from the origin to the right along the x axis. The second side, also of length 1, goes up and to the right from the origin...
Double verticle lines surrounding an expression means to take the absolute value of the expression. The absolute value of an expression is the expression if it is positive, and the negative of the expression if it is negative, i.e. the unsigned distance from zero. Analytically, in order to process...
x=30 degrees first, subtract 3 from 4 and you get 2sinx=1 then, divide both sides by 2 to get sinx=1/2 by using a 30, 60, 90 triangle you can see that 1 is the side opposite theta and 2 is the hypotenuse therefore, your answer is 30
Tangent (theta) is cosine / sine, or Y / X. Tangent (theta) is 40 / 58 Theta=34.6 degrees Since we are dividing cosine by sine, the hypotenuse does not matter as it cancels out.
Plus One Mathematics question papers can be downloaded from different sites including the higher secondary board site.
The frequency of a sine wave can be thought of in several different ways: -- watching the wave from one fixed point, the number of times the wave reaches its maximum amplitude in one second, or the number of complete waves that pass you in one second -- the speed of the wave, divided by the...
Trigonometry provides analysis based on a right triangle inscribed in a unit circle, i.e. one with a radius of 1. The points (0,0) (x,0) and (x,y) define the triangle, with (0,0)-(x,0)-(x,y) being the right angle, and (x,y)-(0,0)-(x,0) containing the angle theta. In this configuration, x is...
Right Angled triangle Isoceles triangle Equalateral Acute scalene triangle Obtuse scalene triangle equalatrial isosilies scaline
First of all, it is pi, a letter of the Greek alphabet, not pie! cot(x) + sqrt(3)=0 cot(x)=-sqrt(3) tan(x)=-1/sqrt(3) The principal value is x=-pi/6 c . So the solutions are (-pi/6 + k*pi) radians where k is an integer: that is k=1=> 5*pi/6 k=2=> 11*pi/6 k=3=> 17*pi/6
About 100 b.c., during the period of the Alexandrian Greeks, the Greek astronomer Hipparchus developed what is today called spherical trigonometry. The Greek astronomers used spherical trigonometry to determine the time of day, direction of motion, and the positions of ships or reference points....
Tangent(theta) is sine over cosine, or y over x. x is 120. Theta is 32 and 37. y 1 is height of cliff, and y 2 is height of cliff plus flagpole. Tan(32)=y 1 / 120, so y 1=120 tan(32)=75. Tan(37)=y 2 / 120, so y 2=120 tan(37)=90. Height of flagpole is y 2 - y 1=90 - 75=...
The sine of 22.5 degrees is 0.383
Muscles that elevate the angle of the mouth?
Sine and cosine are cofunctions, which means that their angles arecomplementary. Consequently, sin (90Â° - x)=cos x. Secant is thereciprocal of cosine so that sec x=1/(cos x). Knowing theseproperties of trigonometric functions, among others, will reallyhelp you in other advance math courses.
The area of a triangle is one half base times height. 1/2 b h=120 1/2 130 h=120 65 h=120 h=120/65 h=1.85
sin(-pi)=sin(-180)=0 So the answer is 0
Land surveying makes an extensive use of the sine and cosine law. The idea is to subdivide the land into many triangles and to measure one side and two angels of each triangle. With the sine law the other two sides can be computed. The Mount Everest was found by this method to be the highest...
Because you will be using the number pi to find the area of the circle, some rounding will be required.
To prove that three points are colinear, pick two points and form the equation of the line they describe, and then see if the third point lies on that line.
If you have a right triangle, the sine of an angle is the ratio of the opposite side to the hypotenuse.
3rd quadrant. The four 90 degree quadrants together formed 360 degrees. When a given angle is greater than 360 degrees, subtract 360 from it till a value smaller than 360 is obtained. In this way, we can determine the quadrant in which the given angle lies.\nHere the final angle obtained is 211...
YES! If you can't do algebra, you won't last ten seconds in trigonometry. It basically is algebra, just using equations within equations.
"Can I passed" needs to be "Can I pass" And yes, I believe you can. It is my opinion that trigonometry is loosely based on Geometry. There are also new concepts introduced in Trig that don't require much algebra skills.
it is hard if you don't get it or if you didn't study. it will be easy if you study it and you get everything.
The length of an arc on a circle of radius 16, with an arc angle of 60 degrees is about 16.8. The circumference of the circle is 2 pi r, or about 100.5. 60 degrees of a circle is one sixth of the circle, so the arc is one sixth of 100.5, or 16.8.
A periodic wave done using a rope is for example a sine wave. It is the form of Simple Harmonic Motion, and traces the equation y=sin(x) where y=1 and -1 are the peaks.
No. The sine of an angle is not directly proportional to the angle. It is a function of the angle, but it is periodic, repeating every 360 degrees of the angle.
You can choose either or but tangent which is sin/cos seems to be the most common way.
cos(195)=cos(180 + 15)=cos(180)*cos(15) - sin(180)*sin(15)=-1*cos(15) - 0*sim(15)=-cos(15)=-cos(60 - 45)=-[cos(60)*cos(45) + sin(60)*sin(45)]=-(1/2)*sqrt(2)/2 - sqrt(3)/2*sqrt(2)/2=- 1/4*sqrt(2)*(1 + sqrt3) or -1/4*[sqrt(2) + sqrt(6)]
d theta divided by 4.28 is not an equation or inequality: it is an expression. An expression cannot be solved.
It's called a rhombus, and it is any 4-sided shape in which all 4 sides are of equal length. Examples are a square or a diamond.
Opposite side over Adjacent side, or sine/cosine
Trigonometry goes back to ancient times. The first trigonometrictable is attributed to Hipparchus of Nicaea.