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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
What is the solution to cos2 plus cos2tan2 equals 1?
cos2 + cos2tan2 = cos2 + cos2*sin2/cos2 = cos2 + sin2 which is identically equal to 1.
So the solution is all angles.
What significance and advantage did the invention of logarithm bring to man?
The significance of logarithms to man is:
Logarithmic functions are used in many fields mainly based in many courses offered by some schools.Logarithmic functions are usually used by some students who study on engineering and in their lines of interests that tackles about logarithmic problems.Engineers specially uses this during the construction and the measurement of their projects.Without the use of logarithms today,Sciences and other fields that have connection on Science that uses logarithms are meant to be useless where such tool is missing on it. Logarithms greatly affects the school based sciences and even international findings.
-more answers on mathwikies.
-Professor of Norwalk - La Mirada Unified School District
What are 26 geometrical facts and features fom A to Z?
Angles are classed as acute, right, obtuse and reflex
Base angles of an isosceles triangle are equal
Circumference of a circle is its perimeter and has a full turn of 360 degrees
Diameter of a circle is twice its radius
Equilateral triangle has 3 equal sides and 3 equal angles of 60 degrees
Fourteen degrees is an acute angle which is greater than 0 but less than 90 degrees
Geometry is derived from a Greek word meaning land or earth measurement
Heptagon is a 7 sided polygon
Interior angles of any polygon are: (n-2)*180 whereas 'n' is number of its sides
Joined line segments create angles and polygons
Kite is a 4 sided quadrilateral
Line segments have end points and a mid point
Multi-faced shapes are polyhedrons
Nonagon is a 9 sided polygon
Obtuse angle is greater than 90 but less than 180 degrees
Perpendicular lines meet at right angles which is 90 degrees
Quadrilaterals are 4 sided polygons
Right angle is 90 degrees and a reflex angle is greater than 180 degrees
Square is a regular polygon with 4 equal sides and 4 equal right angles
Triangle has 3 sides and 3 interior angles that add up to 180 degrees
Undecagon is an 11 sided polygon
Vertical opposite equal angles are created when lines cross as in X
Width times breadth is the area of a rectangle
X axis is the horizontal number line on the Cartesian plane
Y axis is the vertical number line on the Cartesian plane
Z as a letter has equal alternate angles
How does inclinded planes help?
In terms of mechanics, an inclined plane is a machine. To raise something through a given height, it takes less force to roll or slide it along an inclined plane as opposed to lifting it straight up. The down side is that you have to roll or push it much further than a simple lift. In the absence of friction, the total work done, in either case, is exactly the same.
How do you find radians using the conversion factor?
One way to remember it is: a full circle is 2pi radians, or 360°, so 2pi radians = 360°, and then you multiply degrees by (2pi/360 radians per degree) = pi/180 radians per degree.
How do you find the cosine of 35?
If you have a suitable calculator, you can find it directly. It is also the same as the sine of 55 degrees, which can be looked up in many tables.
Math trig graph y equals -2sin x?
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.
Can two x minus one minus sin x equals 0 prove it only have one real root?
Let f(x) = 2x - 1 - sin(x)Then f(0) = -1 and f(1) = 0.1585
therefore, since f(x) is continuous, the change in sign shows that f(x) must have a root in the interval (0, 1).
Also f'(x) = 2 - cos(x).
therefore, since cos(x) <=1, f'(x) is always >= 1
That is, f'(x) is an increasing function of x.
Therefore there cannot be another root.
How do you find the sine cosine and tangent on a calculator?
If your calculator does not have sin, cos and tan buttons then you have a long task ahead.First, if the angle is measured in degrees, convert it to an angle measured in radians. To do this multiply the angle by pi and divide by 180.
Then
sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ... where k! represents 1*2*3*...*k.
cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...
Keep going until the series converges.
tan(x) is most easily calculated as sin(x)/cos(x).
A*sin(x) + cos(x) = 1B*sin(x) - cos(x) = 1
Add the two equations: A*sin(x) + B*sin(x) = 2
(A+B)*sin(x) = 2
sin(x) = 2/(A+B)
x = arcsin{2/(A+B)}
That is the main solution. There may be others: depending on the range for x.
What is the dimention of five rectangles that have total Perimeter of 50 feet and Area of 50 sft?
according to perimeter 5(2l+2w)=50 l+w=5 ..... (1) l=5-w according to area 5(lw)=50 lw=10 (5-w)w=10 from (1) 5w-ww=10 ww-5w+10=0 solving w= imaginary no so these type of rectengles cannot be real.
How do you convert slope percent into tan degree value?
Let m be the slope in percent and theta be the angle in question.
tan (theta) = m/100
theta = arctan (m/100)
To verify the result, we know the following:
tan 0 = 0
tan (45 degrees) = 1 = 100%
tan (90 degrees) = infinity
For example, if 0 < m < 100%, then 0 < theta < 45 degrees.
Why is the sine of 32 degrees greater than the sine of 59 degrees?
It's not. The sine of 32 degrees is approximately 0.53.
The sine of 59 degrees is approximately 0.86.
For a definition of sine, see: http://en.wikipedia.org/wiki/Trigonometric_function .
In the exterior side how many degrees are there in a regular 12 sided polygon?
Each exterior angle of a regular 12-gon measures 30 degrees.
Is it better to take algebra II trig or pre-cal?
Neither course is better or worse than the other. The choice depends on what YOU want to take, or need to take.
If you're going into engineering or architecture, for example, both classes are needed.
If you have to choose one or the other, and you do not need either class for college, then the Algebra/Trig class would be my choice, as it teaches you some things that are better for everyday life than the Calculus.
What is 7over3 plus 3over7 minus 2over9 as a reduced fraction?
7/3+3/7-2/9 = 160/63 or 2.53968254 as a decimal
Using the sine rule its smallest angle is 35.02 degrees rounded to two decimal places.
Using Pythagoras' theorem its hypotenuse is 2.86cm rounded to two decimal places.
Should someone throw a chainsaw at you if you sing what the square root of pi is?
ABSOLUTELY!! Reasons: 1) Chainsaws aren't dangerous - merely scary. 2) You shouldn't sing what the square root of pi is. 3) If you know the square root of pi is, you are a nerd. 4) I like pie!
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
