Question #9c80e Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer marfre May 1, 2017 sqrt(3)/2 Explanation: For a 30^@-60^@-90^@ triangle, the angles are in the ratio: 1: sqrt(3): 2. 120^@ is in the second quadrant. Sine is positive in this quadrant. Using soh, sin theta = "opposite"/"hypotenuse" = sqrt(3)/2. Answer link Related questions How do you find the trigonometric functions of any angle? What is the reference angle? How do you use the ordered pairs on a unit circle to evaluate a trigonometric function of any angle? What is the reference angle for 140^\circ? How do you find the value of cot 300^@? What is the value of sin -45^@? How do you find the trigonometric functions of values that are greater than 360^@? How do you use the reference angles to find sin210cos330-tan 135? How do you know if sin 30 = sin 150? How do you show that (costheta)(sectheta) = 1 if theta=pi/4? See all questions in Trigonometric Functions of Any Angle Impact of this question 2760 views around the world You can reuse this answer Creative Commons License