The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.
<h3>What is trigonometry?</h3>
Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Angle θ is in standard position.
If sin(θ) = − 1/3 , and π < θ < 3π/2
Then the angle will be

Then add 180 degrees, then we have

Then the value of the cosine will be

More about the trigonometry link is given below.
brainly.com/question/22698523
Answer:
The simplified expression is given as

Step-by-step explanation:
step one:
Given the expression

step two:
First, let us open the bracket we have

step three:
collect like terms we have

step four:
we can now factor out
we have
