ethyn0203
ethyn0203 ethyn0203
  • 22-05-2021
  • Mathematics
contestada

What is sec 0 when tan 0 = V3? Đ. (1, 0) sec 0 = [?]​

What is sec 0 when tan 0 V3 Đ 1 0 sec 0 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 22-05-2021

Answer:

secθ = - 2

Step-by-step explanation:

Using the identity

sec²θ = 1 + tan²θ

          = 1 + ([tex]\sqrt{3}[/tex] )² = 1 + 3 = 4 ( take the square root of both sides )

secθ = ± [tex]\sqrt{4}[/tex] = ± 2

Since secθ < 0 in the third quadrant , then

secθ = - 2

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