What is a possible value of sin (theta) when cos2 (theta) = 0.73?

a. 0.37

b. 0.63

c. 0.26

d. 0.74

We use the following trigonometric identity to answer the question:

sin^ 2 (theta) + cos^ 2 (theta) = 1

We substitute the values:

sin ^ 2 (theta) + 0.73 = 1

We cleared:

sin ^ 2 (theta) = 1-0.73

sin ^ 2 (theta) = 0.27

Answer:

a possible value of sin ^ 2 (theta) is:

c. 0.26 (nearest option)