Question

1)determine k de modo que exista o valor: a) cos (x)=3k -2. b) sen (x)=k/3+1​

Answer 1

Resposta:

a) cos (x)=3k -2

-1 ≤3k -2 ≤ 1

-1 +2≤3k -2+2 ≤ 1 +2

1≤3k  ≤ 3

1/3 ≤3k/3  ≤ 3/3

1/3 ≤ k  ≤ 1

b) sen (x)=k/3+1​

-1 ≤k/3+1​ ≤ 1

-1-1 ≤k/3+1​ -1≤ 1-1

-2 ≤k/3≤ 0

-2 *3≤3*k/3≤ 3*0

-6≤   k   ≤ 0