Question

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

(1 point)
Responses

tan210°=xy=−2√2−2√2=1

tangent 210 degrees equals Start Fraction x over y 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=−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

Answer 1

tan 210° = y/x. With coordinates (x,y) = (−√3/2, −1/2),
tan 210° = (−1/2)/(−√3/2) = 1/√3 = √3/3.