If sin(x) = − 8/17 and x is in quadrant III, find the exact values of the expressions without solving for x.
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The answers are not or
cos(x) = -15/17

  cos(θ/2) = -1/√17

Step-by-step explanation:

The given angle is in quadrant III, so its half-angle will be in quadrant II. The cosine in that quadrant is negative, so a relevant half-angle formula is ...

The cosine can be found from ...

Using this value in the half-angle formula, you find ...

You have the right idea and the right magnitude, but the wrong sign.

_____

You can also get there from your two correct answers:

  cos = sin/tan = (4/√17)/(-4) = -1/√17

d? maybe

step-by-step explanation:

89

step-by-step explanation: