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 Note, that the variable "" has once again been replaced by the variable "x" in this graph.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

Quadratic equation modeling profitability, Sam''s sport''s equipment sells ...

Sam''s sport''s equipment sells footballs. They maximized their profitability last year at (6,4) where x represents employees and P(x) represents profitability. Sam noticed that wh

Solving a quadratic equation, In polynomials you have seen expressi...

In polynomials you have seen expressions of the form x 2 + 3x - 4. Also we know that when an expression is equated to zero or some other expression, we cal

Quantitative Techniques, The following table given the these scores and sal...

The following table given the these scores and sales be nine salesman during last one year in a certain firm: text scores sales (in 000''rupees) 14 31 19

What would this expression simplify to, If 3x2 is multiplied by the quantit...

If 3x2 is multiplied by the quantity 2x3y raised to the fourth power, what would this expression simplify to? The statement in the question would translate to 3x 2 (2x 3 y) 4 .

Basic concepts of second order differential equations, In this section we w...

In this section we will be looking exclusively at linear second order differential equations. The most common linear second order differential equation is in the type.  p (t ) y

Factoring quadratics of the form x2 + bx + c, Factoring quadratics of the f...

Factoring quadratics of the form x 2 + bx + c ? This tutorial will help you factor quadratics that look something like this: x 2 + 7x + 12 (Positive coefficients; no lea

Solve step by step, Use an appropriate infinite series method about x = 0 t...

Use an appropriate infinite series method about x = 0 to find two solutions of the given differential equation: y''''-xy''-y=0

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