Rumus Jumlah dan Selisih Dua Sudut - Trigonometri Written By Bachtiar Rohman Saturday, February 1, 2020 Add Comment Edit Berikut ini adalah kumpulan rumus-rumus jumlah dan selisih dua sudut: Share this post
=sin~\alpha&space;.~cos~\beta&space;+cos~\alpha&space;.~sin~\beta&space;\\\\&space;~~~~~~~~~~sin~(\alpha&space;-\beta&space;)=sin~\alpha&space;.~cos~\beta&space;-cos~\alpha&space;.~sin~\beta&space;\\\\\\&space;~~~~~2.~~cos~(\alpha&space;+\beta&space;)=cos~\alpha&space;.~cos~\beta&space;-sin~\alpha&space;.~sin~\beta&space;\\\\&space;~~~~~~~~~cos~(\alpha&space;-\beta&space;)=cos~\alpha&space;.~cos~\beta&space;+sin~\alpha&space;.~sin~\beta&space;\\\\ "1.~~sin~(\alpha +\beta )=sin~\alpha .~cos~\beta +cos~\alpha .~sin~\beta \\\\ ~~~~~~~~~~sin~(\alpha -\beta )=sin~\alpha .~cos~\beta -cos~\alpha .~sin~\beta \\\\\\ ~~~~~2.~~cos~(\alpha +\beta )=cos~\alpha .~cos~\beta -sin~\alpha .~sin~\beta \\\\ ~~~~~~~~~cos~(\alpha -\beta )=cos~\alpha .~cos~\beta +sin~\alpha .~sin~\beta \\\\")
=\frac{tan~\alpha&space;+tan~\beta&space;}{1-tan~\alpha&space;.~tan~\beta&space;}\\\\\\&space;~~~~~~~~~~tan~(\alpha&space;-\beta&space;)=\frac{tan~\alpha&space;-tan~\beta&space;}{1+tan~\alpha&space;.~tan~\beta&space;}\\\\ "3.~~tan~(\alpha +\beta )=\frac{tan~\alpha +tan~\beta }{1-tan~\alpha .~tan~\beta }\\\\\\ ~~~~~~~~~~tan~(\alpha -\beta )=\frac{tan~\alpha -tan~\beta }{1+tan~\alpha .~tan~\beta }\\\\")
=\frac{cot~\alpha&space;.~cot~\beta&space;-1}{cot~\beta&space;+cot~\alpha&space;}\\\\\\&space;~~~~~~~~~~cot~(\alpha&space;-\beta&space;)=\frac{cot~\alpha&space;.~cot~\beta&space;+1}{cot~\beta&space;-cot~\alpha&space;}\\\\\\ "4.~~cot~(\alpha +\beta )=\frac{cot~\alpha .~cot~\beta -1}{cot~\beta +cot~\alpha }\\\\\\ ~~~~~~~~~~cot~(\alpha -\beta )=\frac{cot~\alpha .~cot~\beta +1}{cot~\beta -cot~\alpha }\\\\\\")
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