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Given that tan(x)= -4/7, and 270 degrees< x< 360 degrees, what is the exact value of sec(x)

User Skegg
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1 Answer

5 votes

Answer:

sec(x) = 1.15

Explanation:

We can figure out what x is by using the arctan(x) function:


x = arctan(-(4)/(7)) = -29.74

So, now let's figure out the cos(x) as sec(x) is equal to the reciprocal of cos(x):


cos(-29.74) = 0.87

Let's take the reciprocal:


sec(x) = (1)/(cos(-29.74)) = 1.15

And that's your answer.

User Edward Young
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