Question

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

Answer 1

The answer is actually .37

Explanation:

Just took the test

Answer 2

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)