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Trigonometry
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.
3,810 Questions
A ladder leaning against a 20ft wall, with an angle of 32 degrees with respect to the wall, must be 24ft long.
cos(theta) = adjacent over hypotenuse
cos(32) = 20 / hypotenuse
hypotenuse = 20 / cos(32)
hypotenuse = 23.58
Can linear system that has more unknowns than equation be consistent?
yes it can . the system may have infinitely many solutions.
An isoseles triangle is when two of the three sides/angles are the same
If the length of the ramp is L feet, then tan(20) = 18/L
so that L = 18/tan(20) = 49.45 feet.
What are negative quadrant angles?
using protactor, we use to draw angles in anticlockwise direction and that angles are called positive quadrant angles. and angles in clockwise direction, these angles are called negative quadrant angles.
What are the identities of trigonometry?
sin^2 (feta) + cos^2 (feta) = 1
sin (feta) / cos (feta) = tan (feta)
Properties of cosine and sine function?
The properties of the cosine and sine function are based on the X and Y coordinates of a point on a circle that has a radius of 1 and a center at the origin (X=0,Y=0). If the angle of the line from the origin to the edge of the circle, at any arbitrary point (X,Y), with respect to the X axis is theta, then sine(theta) is X, and cosine(theta) is Y.
What do sin and cos mean in math?
sin stands for sine
cos stands for cosine
and tan stands for tangent
Can I passed trigonometry without and algebraic background?
"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.
When is the equation cotangent of x plus the square root of 3 equals 0 in the interval of 0 to 3pie?
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/6c.
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
Relationship between trigonometry and the Pythagorean theorem?
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 defined as cosine(theta), y is defined as sine(theta), while the other trigonometric functions are the various ratios, reciprocals of ratios, and inverse functions and ratios of sine and cosine. For instance, tangent is sine over cosine, secant is 1 over sine, etc.
Since this is a right triangle, the Pythagorean Theorem also applies. X2 + Y2 = 12. Since X and Y correspond to cosine and sine, then the primary trigonometric identity is sine2(theta) + cosine2(theta) = 1.
en Espanol (translate.google.com)
Trigonometría ofrece un análisis sobre la base de un triángulo inscrito en un círculo de unidad, es decir, con un radio de 1. Los puntos (0,0) (x, 0) y (x, y) definir el triángulo, con (0,0) - (x, 0) - (x, y) es el ángulo derecho, y (x, y ) - (0,0) - (x, 0) que contiene el ángulo theta.
En esta configuración, se define como x coseno (theta), y se define como seno (theta), mientras que las otras funciones trigonométricas son las proporciones diversas, inversos de los coeficientes y funciones inversas y coeficientes del seno y del coseno. Por ejemplo, la tangente es seno sobre coseno, secante es de 1 sobre seno, etc
Como se trata de un triángulo rectángulo, el Teorema de Pitágoras también se aplica. X2 + y2 = 12. Puesto que X e Y corresponden a coseno y seno, entonces la identidad trigonométrica principal es sine2 (theta) + cosine2 (theta) = 1
Quadrant one is the upper right quadrant, or where both X and Y are positive.
Placing a question mark at the end of a phrase does not make it a sensible question. Try to use a whole sentence to describe what it is that you want answered.
Property common to all trigonometric functions?
Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.
Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.
Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.
Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.
Psychogeometry is the idea of an energy source, or extremely low level framework, based around a physical location.
Some people see it as a real force behind cities/tows/forests/countries/anything locational, or as a way to combine all the elements within those systems into a massive "idea."
To put it simply, it treats places as entities. Towns and cities have a feeling; from the way the streets are planned out, to the types of buildings or structures, to the types and volumes of people, to the vehicles that move through streets and underground subway systems.
It's a way to create a body map of a place, and then use the "organs" and "blood vessels" of the location to explore a place or idea internally.
psychogeometry offered in ahouse of children in a playing materials
How to write an equation using a Trigonometric ratio?
cosecant of C + cosecant of D = -2 sine of (C+D)/2 X sine of (C - D)/2
