contestada

If θ is an angle in standard position and its terminal side passes through the point (7,-4), find the exact value of
sec
⁡
θ
secθ in simplest radical form.

Respuesta :

sqdancefan

9514 1404 393

Answer:

  (√65)/7

Step-by-step explanation:

We can use the relation between the secant and the tangent:

  sec(θ)² = tan(θ)² +1

  sec(θ) = √(1 + (-4/7)²) = √(65/49)

  sec(θ) = (√65)/7 . . . . . . secant is positive in the 4th quadrant

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