Question 0
Which angle between 90 and 270 has the same sine value as 60°?

Which angle between –180° and 0 has the same cosine value as 290°?

degrees

(i) 120°

Step-by-step explanation:

(i)

sine 90 = 1

sine 120 = 0.87 (rounded up to two decimal places)

sine 150 = 0.5

sine 180 = 0

sine 210 = -0.5

sine 240 =  -0.87 (rounded up to two decimal places)

sine 270 = -1

sine 60 =  0.87 (rounded up to two decimal places)

So the angle x such that 90° < x < 270° that has the same sine value as 60° is 120°