3 years ago

The point (-7,4) in on the terminal side of an angle t. Find sec (t) to two decimal places.

1 answer:

6 0

Answer:

-1.15

Step-by-step explanation:

The tangent of the angle can be found as ...

tan(t) = (y-coordinate)/(x-coordinate) = -4/7

The secant of the angle is related by ...

sec(t)² = tan(t)² +1 = (-4/7)² +1 = 65/49

Then the secant of this 2nd-quadrant angle is ...

sec(t) = -√(65/49) = -(√65)/7 ≈ -1.15

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Answer with explanation:

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$=\pm 1, \pm 2,\pm 3,\pm 4, \pm 6, \pm 9, \pm 12, \pm 18, \pm 36$

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3 years ago