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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.