Exercise $1$

NOTE: Please suppress output $-$ i$.$e$.,$ use a semicolon $\text{'}$;$\text{'}$ at the end of any commands for which the output is not necessary to answer the question. Delete these notes before turning in$.$

Define input variable theta as discretized row vector $($i$.$e$.$ array$)$

theta $=[0,$pi$./7,$pi$./5,$pi$./4,5.*$pi$./4,6.*$pi$./5,7.*$pi$./6]$

Define radius

r$=$sqrt$(($x$.*$x$)+($y$.*$y$))$

Define x and y in terms of theta and r

x$=($r$.*$cos$($theta$))$

y$=($r$.*$sin$($theta$))$

Check that x and y satisfy the equation of a circle

Explain results here. Do x and y satisfy the equation of a circle? Why or why not?

How does the vector output at the end confirm your answer?