Asked by Mason

The circle is labeled left parenthesis cosine comma sine right parenthesis. Each of the 16 radii connects to a marked point on the circumference. The coordinates of these points, moving clockwise from an angular position of 0 degrees, are as follows: left parenthesis 1 comma 0 right parenthesis at 0 degrees, left parenthesis square root of 3 over 2 comma negative 1 over 2 right parenthesis at 11 pi over 6 radians, left parenthesis square root of 2 over 2 comma negative square root of 2 over 2 right parenthesis at 7 pi over 4 radians, left parenthesis 1 over 2 comma negative square root of 3 over 2 right parenthesis at 5 pi over 3 radians, left parenthesis 0 comma negative 1 right parenthesis at 3 pi over 2 radians, left parenthesis negative 1 over 2 comma negative square root of 3 over 2 right parenthesis at 4 pi over 3 radians, left parenthesis negative square root of 2 over 2 comma negative square root of 2 over 2 right parenthesis at 5 pi over 4 radians, left parenthesis negative square root of 3 over 2 comma negative 1 over 2 right parenthesis at 7 pi over 6 radians, left parenthesis negative 1 comma 0 right parenthesis at pi radians, left parenthesis negative square root of 3 over 2 comma 1 over 2 right parenthesis at 5 pi over 6 radians, left parenthesis negative square root of 2 over 2 comma square root of 2 over 2 right parenthesis at 3 pi over 4 radians, left parenthesis negative 1 over 2 comma square root of 3 over 2 right parenthesis at 2 pi over 3 radians, left parenthesis 0 comma 1 right parenthesis at pi over 2 radians, left parenthesis 1 over 2 comma square root of 3 over 2 right parenthesis at pi over 3 radians, left parenthesis square root of 2 over 2 comma square root of 2 over 2 right parenthesis at pi over 4 radians, and finally left parenthesis square root of 3 over 2 comma 1 over 2 right parenthesis at pi over 6 radians.


Connect the tangent value of the angle 210° to the quotient of the y-coordinate and the x-coordinate.

(1 point)
Responses

tan210°=yx=−2√2−2√2=1

tangent 210 degrees equals Start Fraction y over x End Fraction equals Start Fraction negative Start Fraction Start Root 2 End Root over 2 End Fraction over negative Start Fraction Start Root 2 End Root over 2 End Fraction End Fraction equals 1

tan210°=yx=−12−3√2=3√3

tangent 210 degrees equals Start Fraction y over x End Fraction equals Start Fraction negative Start Fraction 1 over 2 End Fraction over negative Start Fraction Start Root 3 End Root over 2 End Fraction End Fraction equals Start Root 3 End Root

tan210°=xy=−3√2−12=3√3

tangent 210 degrees equals Start Fraction x over y End Fraction equals Start Fraction negative Start Fraction Start Root 3 End Root over 2 End Fraction over negative Start Fraction 1 over 2 End Fraction End Fraction equals Start Fraction Start Root 3 End Root over 3 End Fraction

tan210°=xy=−2√2−2√2=1

All Answers 1

Answered by GPT-5 mini AI
tan 210° = y/x = (-1/2)/(-√3/2) = 1/√3 = √3/3.