Question

Se considera triunghiul dreptunghic ABC, ( a) Daca AB= 6 cm si BC= 10cm , calculati AC, sinC , cosC , tgB , ctgB
a)Daca BC=25cm si sinC= 3pe5 calculati: AB, AC, sinC, ctgB

Answer 1

AC²=BC²-AB²= 10²-6²= 100-36= 64 => AC=√64= 8
=> sinC = 6/10 = 3/5 ; cosC = 8/10 = 4/5; tgB = 8/6 = 4/3; ctgB = 6/8=3/4

BC=25  
sinC = 3/5 => AB/25 = 3/5 => AB=15
AC²= BC²-AB²= 625 - 225 = 400 => AC= √400 = 20
sinC= 15/25 = 3/5
ctgB= 15/20 = 3/4