Solution assignment 08 Addition and subtraction formulas

Return to Assignments Addition and subtraction formulas

Assignment 8

A point moves in the $XOY$ -plane. It moves in the $x$ -direction according to the function $x(t)$ and in the $y$ -direction according to the function $y(t)$ . When we have:

$x(t)=\cos(t)$

$y(t)=\sin^2(t)$

calculate the equation of the curve along which the point is moving.

Solution

We know that we can write for $y(t)$ :

$y(t)=1-\cos^2(t)$

Because we have:

$x(t)=\cos(t)$

we can write:

$y=1-x^2$

This is an 'opens up' parabola with top $(0,1)$ . The domain is:

$-1\leq{x}\leq1$

and the range:

$0\leq{y}\leq1$

Return to Assignments Addition and subtraction formulas

Assignments

Solution assignment 08 Addition and subtraction formulas

Assignment 8

Solution

Contact

Tutor Math, Statistics or GMAT?

Language preference