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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 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

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.

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).

Need help with working this Trig problem out. A sin alpha plus cos alpha equals 1 B sin alpha - cos alpha equals 1 Solution is AB equals 1?

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.

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.

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 .

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 the smallest angle and length of its hypotenuse when a right angle triangle has sides of 2.34cm and 1.64cm?

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!

Rules on how to add integers?

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)