Use the MATLAB script provided $($named $"$HW$\_$template.m$")$ as a template to write your submission. Save your file as "homework$1.$m$".$ Submit your completed script through Canvas. If you cannot download the script, please recreate it in MATLAB with the same format. Make sure to leave out the semicolon to display the results.

$1$

Create $5$ variables named theta $1,$ theta $2,$dots theta $5$ and assign $5$ different values of your choice to these variables. Then use these variables to verify that

$se{c}^2()-ta{n}^2()=1$

You should have $5$ outputs $($may be named $q1$ sum $1,q1$ sum $2,$dotsq$1$ sum $5)$ all equal to $1.$ Be careful, some $$ values make $sec()$ and $tan()$ undefined. You should avoid these values.

$2$

Define a variable $b=-1\mathrm{.}2,$ then evaluate:

a$)\frac{1}{3}{e}^{5b}-3\mathrm{.}8b^4$

b$)\frac{ln(-b)}{b^2+3}$

$3$

Define $2$ variables $x$ and $y$ as $x=6\mathrm{.}05,y=\frac{}{3},$ then evaluate:

a$)(x^2+y^3{)}^{\frac{3}{2}}+\frac{xy}{x+y}$

b$)xsin(\frac{12}{5}y)+|y-x|$