Graphs of sin x and cos x, Mathematics

Assignment Help:

Q. Graphs of Sin x and Cos x ?

Ans.

The sine and cosine functions are related to the path that an object might take around a circle.

Suppose a dolphin was swimming over the waves in a circular pattern. His path could help us draw a sine or a cosine graph!

The dolphin's height, or y-coordinate will trace out the sine curve.

2027_Graphs of Sin x and Cos x.gif

If you were to watch the dolphin swim around and around again, here is a portion of the graph he would generate. Please note that the variable "" has been renamed as "x" in the graph.

927_Graphs of Sin x and Cos x1.gif

The vertical distance of the dolphin, or x-coordinate, will trace out the cosine curve.

1898_Graphs of Sin x and Cos x2.gif


If you were to watch the dolphin swim around and around again, this is a portion of the graph he would generate. Note, that the variable "" has once again been replaced by the variable "x" in this graph.

1974_Graphs of Sin x and Cos x3.gif

The graphs show values of sin(x) and cos(x) for x between -2p and 2p . Can you guess what the graphs look like for x between 2p and 4p ?


Related Discussions:- Graphs of sin x and cos x

Standard basis vectors -application of scalar multiplication, Standard Basi...

Standard Basis Vectors Revisited In the preceding section we introduced the idea of standard basis vectors with no really discussing why they were significant.  We can now do

Explain different base numbers, Explain Different Base Numbers? In mult...

Explain Different Base Numbers? In multiplying or dividing two exponential expressions with different base numbers, write out the exponential expressions as products. Since

RATIO, 3 years to 104 weeks,express answer in ratio

3 years to 104 weeks,express answer in ratio

Surface area- applications of integrals, Surface Area- Applications of inte...

Surface Area- Applications of integrals In this part we are going to look again at solids of revolution. We very firstly looked at them back in Calculus I while we found the

Opt math, howwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww...

howwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

Contravariant vector, Ask question #suppose that components of a contravari...

Ask question #suppose that components of a contravariant vector A^i (for n=3)in the coordinate system (x^1,x^2,...,x^n) are A=x,A=y,A=z.Find the components A^p of the vector in the

Explain measurement conversions in details, Explain Measurement Conversions...

Explain Measurement Conversions in details? The following tables show measurements of length, distance, and weight converted from one system to the other. Length and Distanc

Assumptions and application of t distribution, Assumptions and Application ...

Assumptions and Application of T Distribution Assumptions of t distribution 1. The sample observations are random 2. Samples are drawn from general distribution 3.

What is the cost per ounce of detergent, A 64-ounce bottle of detergent cos...

A 64-ounce bottle of detergent costs $3.20. What is the cost per ounce of detergent? To ?nd out the cost per ounce, divide the cost through the number of ounces; $3.20 ÷ 64 =

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd