BeauV
Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Find the value of Theta in these diagrams (a and b)​

Find The Value Of Theta In These Diagrams A And B class=

Sagot :

a. θ = 36. 9°

b. θ = 114. 2°

How to determine the value of theta

a. We use the cosine identity

cos θ = adjacent/hypotenuse

Adjacent = 4cm

Hypotenuse = 5cm

cos θ = 4/ 5

cos θ = 0. 8

Now, we have the inverse of the cosine value

θ = cos^-1 (0. 8)

θ = 36. 9°

b. We use the tangent identity

tan a = opposite / adjacent

tan a = 3. 8/1. 7

tan a = 2. 23

a = tan^-1 ( 2. 23)

a = 65. 8

We have;

a + θ = 180 °; angles on a straight line

θ = 180 - 65. 9

θ = 114. 2°

Learn more about trigonometric identities here:

https://brainly.com/question/7331447

#SPJ1

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.