Question

1. Se considera triunghiul dreptunghic ABC, ( a) Daca AB= 6 cm si BC= 10cm , calculati AC, sinC , cosC , tgB , ctgB
b) Daca AB=5 cm si AC=5√3cm, calculati BC , sin B , cosB , tgC, ctgC
c)Daca BC= 25 cm si sinC=2pe3 , calculati AB , AC, cosB , tgC
d) Daca AB=6cm si cosB=1pe2 calculati BC, AC, sinC, ctgB

Answer 1

a)diN th. pitagora AC=√BC²-AB²=√10²-6²=√100-36=√64=8
AC=8
sinC=AB/BC
sinC=6/10=0,6
cosC=AC/BC
cosC=8/10=0,8
tgB=AC/AB
tgB=8/6=1,33
ctgB=AB/AC=6/8=0,75
B)