IfCPhas length3, then sideAPof triangleNAPis 6. BecauseNAPis similartoABC, sideNPhas length
- This meansthe hypotenuseANhas length10. (We can showthis eitherusingthe proportionsfrom the
similartriangles,or by usingthe PythagoreanTheorem.)
If we use triangleNAPto find the sine,cosine,and tangentof angleA, we get:Example2:Find sin(B) usingtriangleABC and triangleNAP
Solution:
UsingtriangleABC:UsingtriangleNAP:Secant,Cosecant,and Cotangentfunctions
We can definethreemorefunctionsalso basedon a right triangle.