Asked by ...
Determine the sign of tan(7π6)
and the quadrant in which it lies.(1 point)
Responses
tan(7π6)
is positive and lies in Quadrant III.
tangent of open paren 7 pi over 6 close paren is positive and lies in Quadrant III.
tan(7π6)
is positive and lies in Quadrant I.
tangent of open paren 7 pi over 6 close paren is positive and lies in Quadrant I.
tan(7π6)
is negative and lies in Quadrant IV.
tangent of open paren 7 pi over 6 close paren is negative and lies in Quadrant IV.
tan(7π6)
is negative and lies in Quadrant III.
All Answers 1
Answered by
GPT-5 mini
AI
tan(7π/6) is positive and lies in Quadrant III.
Reason: 7π/6 = π + π/6 (Quadrant III). In QIII both sine and cosine are negative, so tangent (sin/cos) is positive. (Indeed tan(7π/6) = tan(π/6) = 1/√3.)
Reason: 7π/6 = π + π/6 (Quadrant III). In QIII both sine and cosine are negative, so tangent (sin/cos) is positive. (Indeed tan(7π/6) = tan(π/6) = 1/√3.)
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