Question 1060118
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You just have solved the similar problem for cos(u+v) in

<A HREF=https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1060117.html>https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1060117.html</A>


https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1060117.html



Apply the same technique to find sin(u+v).


Then find tan(u+v) as the ratio {{{sin(u+v)/cos(u+v)}}}.


Prove that you do understand and can apply what was explained to you once.



For more solved similar problems on calculating trig functions see the lessons  

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Trigonometry-basics/Calculating-trigonometric-functions-of-angles.lesson>Calculating trigonometric functions of angles</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Trigonometry-basics/Selected-problems-from-the-archive-on-calculating-trig-functions-of-angles.lesson>Advanced problems on calculating trigonometric functions of angles</A>

in this site.


Also, you have this free of charge online textbook in ALGEBRA-II in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic "<U>Trigonometry: Solved problems</U>".