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)

9514 1404 393

  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

__

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

y -5 = (-1/4)(x + 8)

step-by-step explanation:

12.4, 12.387, 12.26, 12.252, 6.241, 6.2, 6.015, 6.009, 1.411, 1.2, 1.056, 1.007, 0.31,   0.13, 0.5, 0.04

step-by-step explanation:

ur welcome : )