anonymous
  • anonymous
The point (−3, 1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? Make sure to show all work.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Nnesha
  • Nnesha
(-3,1) where x-coordinate represent cos and y-coordinate = y cos is negative so first we need to know at which quadrant we suppose to draw a right triangle remember the CAST rule |dw:1439468356304:dw|
Nnesha
  • Nnesha
so cos is negative in 2nd and 3rd quadrant. (-3,1) ^cos = -3 sin =1 so we should draw a right triangle in 2nd quadrant where cos is negative and sin is positive |dw:1439468726553:dw| apply the Pythagorean theorem to find 3rd side of right triangle \[\huge\rm a^2+b^2=c^2\] c= hypotenuse(longest side of right triangle )
Nnesha
  • Nnesha
you also need this \[\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }\]

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