0
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
Why trigonometry taught as a part of mathematics?
Because it is a branch of mathematics that is concerned with measurements of angles and sides of triangles, and following from that, areas and other characteristics.
If three sides of triangle are 8cm 6cm 10cm Then find largest angle?
It is a right angle triangle and its largest angle is 90 degrees
What is the median of 10 18 19 19 19 19 19 20 21?
19
If your asking how, if you put your finger on 10 and 21, move them towards the middle until they hit the same place, if they appear next to each other then the number in between it is the median and if there is many numbers, do the first way with those numbers and there you have it, pretty simple but maybe a bit hard to understand. if you do not understand my way, ask your math teacher and she will tell you how.
What is the correlation between gradient of incline and degrees of the angle in Bruce protocol?
I just called my cardiologist's office for an answer to this one (I'm scheduled for a nuclear stress test that uses the Bruce protocol). Here's what the person who will administer my test told me:
It's the percentage of 90 degrees, 0% being no incline, 100% being straight up, perpendicular to the floor. The test begins at 1.7 mph with an incline of 10%, or 9 degrees. The incline is raised every three minutes by 2%, or 1.8 degrees. So at Level 2, the incline is 10.8 degrees, Level 3 12.6 degrees, Level 4 15.2 degrees, etc. -Joe
Where did the word August come from?
The month of August comes from Augustus Caesar who was the nephew of Julius Caesar.
The name Augustus itself is derived from the Latin verb augere, "to magnify; to extol". It means "majestic; venerable".
No, a crescent is not a polygon. It is the area between two arcs of different radii that intersect each other.
Theoretically, the crescent could be considered to be a polygon with an infinite number of infinitesimally small sides, but that is not the standard interpretation.
How do you change cos theta to sin theta?
One relationship is:
cos(x) = sin(90° - x)
if you use degrees. Or in radians:
cos(x) = sin(pi/2 - x)
Another relationship is the pythagorean identity.
Why is tangent 180 degrees undefined?
It's not. The tangent of 180 degrees is zero.
Consider tan(x) = sin(x)/cos(x). When x = 180 degrees, sin(x) = 0 and cos(x) = -1 and so tan(x) = 0
How would you show all work for 1 minus 2cos squared theta?
You could not.
1 - 2cos2theta is an expression which cannot be solved nor evaluated without information about theta. If you need to show its equivalence to another expression then it is necessary to know what the other expression is.
What is the sin cos tan formula if i don't have an ti 84 calc?
The answer depends on what the triangle is and what information you have. The formulae which are available for right angled triangles are not applicable for triangles which do not have a right angle. Trigonometric ratios are defined for angles, whether or not the shape is a triangle.
In general, there is no simple method for working out these ratios without a calculator (or reference tables).
If x is the angle, measured in radians, then
sin(x) = x - x^3/3! + x^5/5! - x^7/7! ...
cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! ...
and
tan(x) = sin(x)/cos(x).
But these are hardly calculable without a calculator!
Note that n! = 1*2*3* ... *n for positive integer n.
28.21 feet or 28ft 3in
You cannot because you do not know what R is.
How do you find the Volume of a triangular block?
You have to find out the area of the base which you find out with perpendicular height times base then time that by the perpendicular height of the pyramid and divide it by 3
What is the derivative of cos pi x plus sin pi y all to the 8th power equals 44?
(cos(pi x) + sin(pi y) )^8 = 44
differentiate both sides with respect to x
8 ( cos(pi x) + sin (pi y ) )^7 d/dx ( cos(pi x) + sin (pi y) = 0
8 ( cos(pi x) + sin (pi y ) )^7 (-sin (pi x) pi + cos (pi y) pi dy/dx ) = 0
8 ( cos(pi x) + sin (pi y ) )^7 (pi cos(pi y) dy/dx - pi sin (pi x) ) = 0
cos(pi y) dy/dx - pi sin(pi x) = 0
cos(pi y) dy/dx = sin(pi x)
dy/dx = sin (pi x) / cos(pi y)
Where does the word eclectic come from?
The word eclectic comes from the Greek words 'ek' meaning 'out' and 'legein' meaning 'choose.' Those words were combined to create 'eklegein' that means 'pick out' and then the word changed to eklektikos and then the 17th century brought about the word eclectic.
How do you solve 2cosx plus 2sinx equals sqrt2 for solutions between 0 and 2pi?
Not easily and, given the limitations of the pathetic browser that we have at our disposal, even less easy. But here goes:You are given that 2cosx + 2sinx = sqrt(2)
Consider "collapsing" the left hand side into a single trig function:
r*sin(x+a) = sqrt(2) ............................................. (A)
that is r*cosxsina + r*sinxcosa = sqrt(2)
comparing coefficients,
rsina = 2 and rcosa = 2
then
sina = 2/r = cosa
and since sin^2 + cos^2 = 1, you have r = 2*sqrt(2)
also, rsina/rcosa = 2/2 = 1 = tana which implies that a = pi/4.
Therefore, equation (A) is 2*sqrt(2)*sin(x+pi/4) = sqrt(2)
so that sin(x+pi/4) = 1/2.......................................(B)
Since 0<= x <= 2*pi
pi/4 < x+pi/4 < 2*pi+pi/4
So the solutions to (B) in the relevant domain are x+pi/4 = 5*pi/6 or 13*pi/6
therefore x = 5*pi/6-pi/4 or 13*pi/6-pi/4
that is x = 7pi/12 and 23pi/12.
What is whole under root of sec theta - 1 over sec theta 1?
Ut is equual to tan(theta) / (sec(theta) + 1)
