- Why is it called a sine wave?
- Which country invented trigonometry?
- How can trigonometry be used in real life?
- Who is the father of geography?
- Who invented sine?
- How was sine discovered?
- What is the formula for a sine wave?
- What are the six trigonometric functions?
- What is tan equal to?
- Who is father of trigonometry?
- What is the value of sine?
- What does a sine curve look like?
- What does a sine wave look like?
- How does a sine graph look like?
- What are the 9 trig identities?
- What are the 8 trigonometric identities?
- Why do we use sine?
- Who discovered Sin Cos Tan?
Why is it called a sine wave?
All waves in nature vary with space, time or both.
Mathematically, most suitable functions that exactly simulate the wave behavior are sine or cosine functions or their combinations.
The sine wave behaves exactly like the trigonometric sine function in space/time and hence the name..
Which country invented trigonometry?
The Babylonians could measure angles, and are believed to have invented the division of the circle into 360º. However, it was the Greeks who are seen as the original pioneers of trigonometry. A Greek mathematician, Euclid, who lived around 300 BC was an important figure in geometry and trigonometry.
How can trigonometry be used in real life?
Trigonometry can be used to roof a house, to make the roof inclined ( in the case of single individual bungalows) and the height of the roof in buildings etc. It is used naval and aviation industries. It is used in cartography (creation of maps). Also trigonometry has its applications in satellite systems.
Who is the father of geography?
EratosthenesEratosthenes, the ancient Greek scholar is called the “father of geography”. He was the first one to use the word geography and he also had a small-scale notion of the planet that helped him to determine the circumference of the earth.
Who invented sine?
Abu’l WafaSine was introduced by Abu’l Wafa in 8th century, as a more convenient function, and gradually spread first in the Muslim world, and then to the West. (But apparently it was used in India centuries before him), as a more convenient function. However this new notation was adopted very slowly, it took centuries.
How was sine discovered?
Well, the sine of an angle is just the ratio of two sides of a triangle. The fact that this notion makes sense is just the concept of similarity of triangles, which was known to the ancient Babylonians and Egyptians. … The first person whose name we know who worked with sines was Aryabhata, who lived around AD 500.
What is the formula for a sine wave?
Sine Wave. … A general form of a sinusoidal wave is y(x,t)=Asin(kx−ωt+ϕ) y ( x , t ) = A sin ( kx − ω t + ϕ ) , where A is the amplitude of the wave, ω is the wave’s angular frequency, k is the wavenumber, and ϕ is the phase of the sine wave given in radians.
What are the six trigonometric functions?
There are six main trigonometric functions:Sine (sin)Cosine (cos)Tangent (tan)Secant (sec)Cosecant (csc)Cotangent (cot)
What is tan equal to?
The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x .
Who is father of trigonometry?
Hipparchus of NicaeaHipparchus of Nicaea (/hɪˈpɑːrkəs/; Greek: Ἵππαρχος, Hipparkhos; c. 190 – c. 120 BC) was a Greek astronomer, geographer, and mathematician. He is considered the founder of trigonometry but is most famous for his incidental discovery of precession of the equinoxes.
What is the value of sine?
The exact value of sin 180 is zero. Sine is one of the primary trigonometric functions which helps in determining the angle or sides of a right-angled triangle. It is also called trigonometric ratio.
What does a sine curve look like?
The domain of the sine function As you drag the point A around notice that after a full rotation about B, the graph shape repeats. The shape of the sine curve is the same for each full rotation of the angle and so the function is called ‘periodic’. The period of the function is 360° or 2π radians.
What does a sine wave look like?
A sine wave is a geometric waveform that oscillates (moves up, down or side-to-side) periodically, and is defined by the function y = sin x. In other words, it is an s-shaped, smooth wave that oscillates above and below zero.
How does a sine graph look like?
Plot of Sine The Sine Function has this beautiful up-down curve (which repeats every 2π radians, or 360°). It starts at 0, heads up to 1 by π/2 radians (90°) and then heads down to −1.
What are the 9 trig identities?
Sine, Cosine and TangentSine Function:sin(θ) = Opposite / HypotenuseCosine Function:cos(θ) = Adjacent / HypotenuseTangent Function:tan(θ) = Opposite / Adjacent
What are the 8 trigonometric identities?
Terms in this set (8)Reciprocal: csc(θ) = csc(θ) = 1/sin(θ)Reciprocal: sec(θ) = sec(θ) = 1/cos(θ)Reciprocal: cot(θ) = cot(θ) = 1/tan(θ)Ratio: tan(θ) = tan(θ) = sin(θ)/cos(θ)Ratio: cot(θ) = cot(θ) = cos(θ)/sin(θ)Pythagorean: sin costs = $1. … Pythagorean: I tan = get sic. … Pythagorean: I cut = crescent rolls.
Why do we use sine?
The sine function is defined as the ratio of the side of the triangle opposite the angle divided by the hypotenuse. This ratio can be used to solve problems involving distance or height, or if you need to know an angle measure. Example: … To find the length of the side opposite the angle, d, we use the sine function.
Who discovered Sin Cos Tan?
The terms tangent and secant were first introduced by the Danish mathematician Thomas Fincke in his book Geometria rotundi (1583). The 16th century French mathematician Albert Girard made the first published use of the abbreviations sin, cos, and tan in his book Trigonométrie.