Question

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

Answer 1

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