jasmadisonsmitpe6q7f
jasmadisonsmitpe6q7f jasmadisonsmitpe6q7f
  • 20-05-2020
  • Mathematics
contestada

Evaluate cosθ when sinθ = -7/8 and θ is in Quadrant IV.

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Leora03
Leora03 Leora03
  • 20-05-2020

Answer:

cosθ= [tex] \frac{ \sqrt{15} }{8} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

In the 4th quadrant, the cosine of an angle is positive.

The opposite side takes the negative sign in -⅞ since it is below the x-axis. Likewise, we reject [tex]x = - \sqrt{15} [/tex] since x lies on the right side of the y axis.

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