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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
If the numbers have mixed signs then take the difference and the sign of the number with the biggest absolute value.
Example1: 3 + (-5) = -2
|3| = 3
|-5| = 5
5 > 3
5 is negative so the answer is negative.
If the numbers have the same sign add them and carry the sign.
Example 2: (-3) + (-5) = (-8)
Example 3: 3 + 5 = 8
cos2(theta) = 1
so cos(theta) = ±1
cos(theta) = -1 => theta = pi
cos(theta) = 1 => theta = 0
What certain types of jobs is probability used in?
-- Insurance underwriting
-- the Casino industry
-- Medical trials
-- Public opinion surveying
-- the spectator side of professional sports
How do you work out the base of a right angled triangle when given the other 2 sides?
Use Pythagoras' theorem. If the lengths of the other two sides are x units and y units then
base = sqrt(x*x + y*y)
Discuss some brief history of trigonometry?
It has been recently discovered (Aug 2017), by researchers at the University of New South Wales, that a 3,700 year old Babylonian tablet, known as Plimpton 332, contained tables of trigonometric ratios. The tablet is approx 1500 years older than the Greek astronomer Hipparchus who has long been regarded as the father of trigonometry. So, with that one discovery, the history of trigonometry has become less brief and its origins have been shifted from Europe to the Middle East. It is not yet clear what else the Babylonians achieved in the intervening 1500 years.
How do you find the hypotenuse of a right triangle using sine?
The sine of an angle theta that is part of a right triangle, not the right angle, is the opposite side divided by the hypotenuse. As a result, you could determine the hypotenuse by dividing the opposite side by the sine (theta)...
sine (theta) = opposite/hypotenuse
hypotenuse = opposite/sine (theta)
...Except that this won't work when sine (theta) is zero, which it is when theta is a multiple of pi. In this case, of course, the right triangle degrades to a straight line, and the hypotenuse, so to speak, is the same as the adjacent side.
What is an open sentence that is true for any numbers?
It's for a crossword puzzle. It has 8 letters and the 6th letter is an R.
Determine where an exhausted Paul would be after walking 739 units on the unit square?
Assuming he is walking along the perimeter, he is one unit short of returning to his starting point for the 184th time.
How tall will something appear to be . If we know actual height and distance the object is from you?
If the actual height is h and the distance is d, then it will subtend an angle of arctan(h/d).
What is the trigonometric values 82 degrees and 12 minutes using 3 major functions?
sin(82.2) = 0.9907
cos(82.2) = 0.1357
tan(82.2) = 7.3002
The principal solution for sin(A + 5) = cos(3A - 25), with angles measured in degrees, is A = 15 degrees.
What are at least facts or more regarding the properties of an equilateral triangle?
1 It has 3 equal sides
2 It is a regular polygon
3 It will tessellate
4 It has 3 equal interior angles of 60 degrees
5 It has 3 equal exterior angles of 120 degrees
6 It has a perimeter which is the sum of its 3 sides
7 It has an area which is 0.5*base*height
8 It can also be calculated as 0.5*side2*sin(60) equals area
9 It has the same centre when enscribed by a circle
10 It has an infinite amount within a crcle
11 It can be the base of a pyramid
12 It can be used with Pythagoras' theorem
13 It can be plotted on the Cartesian plane
14 It has 3 lines of symmetry
15 It can be be doubled up into a quadrilateral
16 It is possible to find its properties given just 1 side length
17 It has no diagonals
18 It can be congruent or similar to other equilateral triangles
19 It is a 2 dimensional shape
20 It has rotational symmetry of order 3
Which mathematician discover number system?
Number systems have been used since pre-historic times. Basic arithmetic probably preceded human beings: for example when a pack of animals would determine whether their numbers were greater than those of their enemies and so decide whether to attack or escape.
The modern formal number system is based on definitions by Richard Dedekind in the second half of the nineteenth century.
