The angle \theta_1θ
1

theta, start subscript, 1, end subscript is located in Quadrant \text{II}IIstart text, I, I, end text, and \sin(\theta_1)=\dfrac{9}{41}sin(θ
1

)=
41
9

sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 9, divided by, 41, end fraction .
What is the value of \cos(\theta_1)cos(θ
1

)cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?

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abidemiokin abidemiokin · Answer 1 · 2022-05-20T10:08:22+02:00

Trig identity are written in term of cosine, sine and tangent, he value of cosθ if the value of sinθ is 9/41 is 40/41

Given the following parameters

sinθ = 9/41

According to the SOH CAH TOA identity

sinθ = opposite/hypotenuse

Determine the adjacent sides

a= √41² - 9²

a = √ 1600

a = 40

Determine the value of cosθ

cosθ = adjacent/hypotenuse

cosθ = 40/41

Hence the value of cosθ if the value of sinθ is 9/41 is 40/41

Learn more on trigonometry identity here:https://brainly.com/question/7331447

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loripalazzolo loripalazzolo · Answer 2 · 2022-08-08T18:04:57+02:00

Answer:

-40/41

Step-by-step explanation:

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