Question

Which of the following could be found in a table of values for the function g(x)=cos(−1.5x)−1
?(1 point)
Responses

(2π3,−2)

left parenthesis Start Fraction 2 pi over 3 End Fraction comma negative 2 right parenthesis

(2π3,0)

left parenthesis Start Fraction 2 pi over 3 End Fraction comma 0 right parenthesis

(2π3,−1)

left parenthesis Start Fraction 2 pi over 3 End Fraction comma negative 1 right parenthesis

There is no viable option provided.
There is no viable option provided.
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Answer 1

Evaluate g at x = 2π/3:

g(2π/3) = cos(−1.5·(2π/3)) − 1 = cos(−(3/2)·(2π/3)) − 1 = cos(−π) − 1 = cos(π) − 1 = −1 − 1 = −2.

So (2π/3, −2) is the correct choice.