Final answer:
The only exact value of theta other than sinθ = 57° is θ= 57°.
Step-by-step explanation:
To find the exact values of theta other than sinθ = 57°, we need to determine which angles have a sine value equal to 57. In this case, none of the given angles (b) θ= 123°, (c) θ = 303°, (d) θ= 33°, (e) θ= 243°) have a sine value equal to 57°. Therefore, the only exact value of theta is (a) θ= 57°.