Question

Derive the law of sines and the law of cosines!

Answer 1

signs or sines?

Answer 2

Sines, lol. not signes

Answer 3

sorry:) i fixed it.

Answer 4

okay, pay attention....and feel the wrath of my drawing!!!

Answer 5

lol.

Answer 6

first take an arbitrary triangle and develop it to have an angle 90 deg..............

Answer 7

I will use the same diagram for the cosines....

Answer 8

yo, should I proceed?

Answer 9

yessir

Answer 10

to extend the above to c/sinC, you can just generalize that since it works for a and b, it works for c.

For cosines.....

Answer 11

Which makes sense.

Answer 12

kinda got to go. Just extend the lengths to the dotted diagram I drew and use Pythagoras' .
Good luck.

Answer 13

Thank you.