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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 angle must a pulley with av 12cm radius be rotated to raise the weight to a height of 6cm?
Length of arc = r*x where
r is the radius
and x is the angle
6 cm = 12 cm*x so x = 1/2 radians.
Where did the word era come from?
era
1615, from L.L. æra, era "an era or epoch from which time is reckoned," probably identical with L. æra "counters used for calculation," pl. of æs (gen. æris) "brass, money." The L. word's use in chronology said to have begun in 5c. Spain (where, for some reason unknown to historians, the local era began 38 B.C.E.; some say it was because of a tax levied that year). Like epoch, in Eng. it originally meant "the starting point of an age;" meaning "system of chronological notation" is c.1646; that of "historical period" is 1741.
Above retrieved from http://www.etymonline.com
Viper1
Are their any formula regarding falling object?
yes. 1. v=u+gt 2.s=ut + 1/2 gt2 here v is final velocity, u is initial velocity, g is acceleration due to gravity(9.8 m/s) and s is the distance.
The law of sines is used to find missing values in triangles. The formula is a/sinA=b/sinB=c/sinC. The idea behind the equation is that the larger an angle is the larger the side across from it will be and the smaller the angle the smaller the side across from it will be. Once you have set up your equation you can easily solve your equation with some simple algebra and a calculator.
2 and 3
How do you find the area of a right angled triangle when knowing the base?
Knowing just the length of the base you can not work out the area. You need the height and the base or the length of the hypotenuse in order to work out the area.
Verify sin squared x minus sin squared y equals sin x plus y times sin x-y?
To verify sin2x - sin2y = sin x + y sin (x-y) [if I've read your equation correctly] is impossible (for all x and y).
A counter example can be easily found whereby the values of the two halves of the (supposed) equality are different.
Let x = π and y = π/2. Then:
Left hand side:
sin2x - sin2y = sin2π - sin2 π/2= 0 - 12
= -1
Right hand side:
sin x + y sin (x-y) = sin π + π/2 sin (π - π/2)
= 0 - π/2 sin (π/2)
= -π/2
Thus sin2x - sin2y = -1 ≠ -π/2 = sin x + y sin (x-y) when x = π and y = π/2, so the equality cannot be verified -
Does a triangle must have 3 equal sides?
no, a triangle can have one long side or two as long as it has 3 sides.
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.
What is the perimetre of a square with 8-m sides?
Perimeter of a square is 4s so it would be 4*8=32m3
How do numbers affect the trigonometric function?
Trigonometric functions are defined from a numeric domain to a numeric range. So the input number determines whether or not the function is defined for that value and, if so, what the value of the function is.
How quadrant are they labelled?
They are labelled with Roman numerals, anti-clockwise from top-right.Top Right = I
Top Left = II
Bottom Left = III
Bottom Right = IV.
How do you solve 2 sin squared x is equal to 1 minus sin x?
Just to make it easier to see (and write), let's call sin(x) 'S' for a while.
2 S2 = 1 - S
Add S to each side ==> ( 2 S2 + S = 1 )
Subtract 1 from each side:
2 S2 + S - 1 = 0
This is just a plain old quadratic equation, which is easy to factor and solve.
(2S - 1) (S + 1) = 0
2S - 1 = 0
2S = 1
S = 0.5
S + 1 = 0
S = -1
Those are the two solutions for 'S'.
Now it's time to recall that 'S' is really sin(x).
sin(x) = 0.5
x = 30° and 150°
sin(x) = -1
x = 270°
What does tangent on a scientific calculator mean?
It is a trigonometric function, equivalent to the sine of an angle divided by the cosine of the same angle.
