Question

Angle θ is in standard position. if sin(θ) = − 1 3 , and π < θ < 3π 2 , find cos(θ).

Answer 1

The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.

What is trigonometry?

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

$\theta = \sin ^{-1}\dfrac{-1}{3}\\\\\theta = -19.47$

Then add 180 degrees, then we have

$\theta = -19.47 + 180\\\\\theta = 160.52$

Then the value of the cosine will be

$\cos 160.52^o=-0.9428$

More about the trigonometry link is given below.

brainly.com/question/22698523

Answer 2

Answer:

-2√2/3

Step-by-step explanation:

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