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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
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
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)
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
cos2(theta) = 1
so cos(theta) = ±1
cos(theta) = -1 => theta = pi
cos(theta) = 1 => theta = 0
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.
