rscarlett16 rscarlett16
  • 16-07-2022
  • Mathematics
contestada

If cos(x)=-4/5 in quadrant II then determine the following sin(x/2),cos(x/2),tan(x/2)

Respuesta :

2200243 2200243
  • 16-07-2022

Answer:

[tex]sin(\frac{143.13}{2} )=0.9487\\\\cos(\frac{143.13}{2} )=0.3162\\\\tan(\frac{143.13}{2} )=2.9999=3\\[/tex]

Step-by-step explanation:

angles in II quadrant are found by solvig 180- ∅ where ∅ is the acute angle

Let us then find the acute angle: in[tex]cos^{-} (\frac{4}{5}) = 36.86^{0} \\\\so \ x \ the \ angle \ in \ the \ second \ quadrant \ is \ 180-36.86=143.13^{0} \\\\sin(\frac{143.13}{2} )=0.9487\\\\cos(\frac{143.13}{2} )=0.3162\\\\tan(\frac{143.13}{2} )=2.9999=3\\[/tex]

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