cosine (theta) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction , and StartFraction 3 pi Over 2 EndFraction less-than theta less-than 2 pi, evaluation sine (theta) and tangent (theta)

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  sin(θ) = -√2/2

  tan(θ) = -1

Step-by-step explanation:

The reference angle is arccos(√2/2) = 45°. The sine has the same magnitude, so the tangent (ratio of sine to cosine) has a magnitude of 1.

The angle is given as a 4th-quadrant angle. Both the sine and tangent are negative in the 4th quadrant.

  sin(θ) = -√2/2

  tan(θ) = -1

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In the attachment, the angle of interest is 315° (7π/4). The given unit-circle coordinates are ...

  (x, y) = (cos(θ), sin(θ))

  tan(θ) = y/x

I think the 3rd one. 1m not sure tho

Step-by-step explanation

180 = ( x, y ) → ( -x , - y )