Decide whether the statement is possible or impossible.
$\cos α = - \frac{1}{2} and \sec α = 2$
Is the statement possible or impossible?
Impossible
Possible

Answer

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Answer

Final Answer: The statement is $impossible$ .

Steps

Step 1 ：Decide whether the statement is possible or impossible: $\cos α = - \frac{1}{2}$ and $\sec α = 2$

Step 2 ：The secant of an angle is defined as the reciprocal of the cosine of the angle.

Step 3 ：So, if $\cos (α) = - \frac{1}{2}$ , then $\sec (α)$ should be -2, not 2.

Step 4 ：Therefore, the statement is impossible.

Step 5 ：Final Answer: The statement is $impossible$ .